Mellin Transforms & Integrate

Oleg Marichev (WRI), Daniel McDonald (WRI)

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Mellin Transforms

Mellin transforms are integral transforms often used in number theory, mathematical statistics, and asymptotic expansions. They are related to the well-known Fourier and Laplace transforms by appropriate changes of variable and function. The Wolfram Language now supports all sorts of computations related to Mellin transforms through its new functions MellinTranform, InverseMellinTranform and MellinConvolve.

Direct Mellin Transforms

The Mellin transform of a univariate function f(x) is the univariate function (MellinTransform1[f(x), x, s])=(∫_0^∞)f(x)(x^(s-1))dx.

MellinTransform[Exp[-a x], x, s]
Plot[Table[% , {a, 1, 2, 1/4}] // Evaluate, {s, 0, 4}]

Inverse Mellin Transforms

The inverse Mellin transform of a univariate function h(s) is the univariate function (InverseMellinTransform1[h(s), s, x])=(1/(2 π i))(∫_(γ-i ∞)^(γ+i ∞))h(s) (x^(-s))ds, where the integration is along a vertical line Re(s)==γ, lying in a strip α<Re(s)<β in which the function h(s) is holomorphic.

InverseMellinTransform[(((2^(-1+s)) (a^(-s)) Gamma[(1/2)+(s/2)])/(Gamma[(3/2)-(s/2)])),s,x]
Plot[Table[% , {a, 1, 5}] // Evaluate, {x, 0, 7}]

Mellin Convolutions

The Mellin convolution of two univariate functions f(x) and g(x) is the univariate function (f(Subscript[*, M]) g) (y)=(∫_0^∞)((f(x) g(y/x))/x)dx.

MellinConvolve[BesselJ[0,x],BesselJ[1,x],x,y]
Plot[{BesselJ[0,y],BesselJ[1,y],%}//Evaluate,{y,0,10},Filling-> Axis,PlotLegends->"Expressions"]

Relations

Fourier transforms

FourierTransform[g[t],t,w]==(1/(Sqrt[2π]))(∫_(-∞)^∞)g[t] (E^(I t w))\[DifferentialD]t

MellinTransform[f[t],t,z]==(Sqrt[2 π])FourierTransform[f[(E^(-t))],t,I z]

MellinTransform[f[t],t,z]==(Sqrt[2 π])FourierCosTransform[((f[(E^(-t))]+f[(E^t)])/2),t,I z]+I (Sqrt[2 π])FourierSinTransform[((f[(E^(-t))]-f[(E^t)])/2),t,I z]

Convolve[f[x],g[y],x,y]==(∫_(-∞)^∞)f[x] g[y-x]\[DifferentialD]x

FourierTransform[Convolve[f[x],g[x],x,t],t,z]==(Sqrt[2π])FourierTransform[f[t],t,z]FourierTransform[g[t],t,z]

MellinTransform[MellinConvolve[f[x],g[x],x,t],t,z]==MellinTransform[f[t],t,z]MellinTransform[g[t],t,z]==(Sqrt[2 π])FourierTransform[Convolve[f[(E^(-x))],g[(E^(-x))],x,t],t,I z]

Laplace transforms

LaplaceTransform[f[t],t,z]==(∫_0^∞)f[t] (E^(-t z))\[DifferentialD]t

LaplaceTransform[f[t],t,z]==MellinTransform[UnitStep[1-t]f[-Log[t]],t,z]

Parseval' s relation

(∫_0^∞)(τ^a) f[b (τ^c)]g[d (τ^e)]\[DifferentialD]τ==((b^((a+1)/c))/(e Abs[c]))(1/(2π I))(∫_(γ-I ∞)^(γ+I ∞))MellinTransform[f[t],t,((s+a+1)/c)]MellinTransform[g[t],t,-(s/e)]((((d^(1/e))(b^(-(1/c)))))^s)\[DifferentialD]s/;c≠0∧c∈Reals∧d∈Reals

Meijer G-function

As it exists today in Mathematica, the Integrate function was mostly developed from 1990-1997 (Kelly Roach, Oleg Marichev, Alexei Bocharov, Victor Adamchik). Later Daniel Lichtblau supported it and Roger Germundsson, Oleg Marichev, Oleksandr Pavlyk, and Devendra Kapadia made some new extensions.

Currently we are working to expand the set of integrals that Integrate can handle by implementing new “backstops” consisting of very generic integral formulas with many parameters. The outputs of these formulas often include “monster” functions like MeijerG, FoxH, AppellF1, and (sometimes) BellY.

Functions like MeijerG are “monsters” because a majority of familiar mathematical functions can be represented as special cases of MeijerG.

MeijerG[{{(Subscript[a, 1]),…,(Subscript[a, n])},{(Subscript[a, n+1]),…,(Subscript[a, p])}},{{(Subscript[b, 1]),…,(Subscript[b, m])},{(Subscript[b, m+1]),…,(Subscript[b, q])}},z]==(1/(2 π I))ContourIntegrate[((((∏_(k=1)^m)Gamma[(Subscript[b, k])+s]) (∏_(k=1)^n)Gamma[1-(Subscript[a, k])-s] )/(((∏_(k=n+1)^p)Gamma[(Subscript[a, k])+s]) (∏_(k=m+1)^q)Gamma[1-(Subscript[b, k])-s]))(z^(-s)),{s,ℒ}]/;m∈Integers∧m≥0∧ n∈Integers∧n≥0∧p∈Integers∧p≥0∧q∈Integers∧q≥0∧m≤q∧n≤p;

The new MeijerGReduce function can represent given functions in inactive MeijerG form...

MeijerGReduce[Sin[x],x]

MeijerGReduce[BesselK[ν,z],z]

...which allows for wide application of formulas for integrating MeijerG.

MeijerGReduce of 3228 Functions

{#,MeijerGReduce[#,z]}&/@Table[ListListTestFull3228[[kk]]/.Sum1->Inactive[Sum],{kk,1,20}]//TableForm

{#,MeijerGForm2[#,z]}&/@Table[ListListTestFull3228[[kk]],{kk,1,3228}]/.MeijerM->Inactive[MeijerG]//TableForm

Function List

ListListTestFull3228={CosIntegral[z], CosIntegral[Sqrt[z]], CosIntegral[z] + (1/2)*(-2*Log[z] + Log[z^2]), -EulerGamma + CosIntegral[z] - Log[z], 
  -EulerGamma + CosIntegral[z] - Log[z] - (1/2)*Sum1[((-1)^k*z^(2*k))/(k*(2*k)!), {k, 1, n}], 
  -EulerGamma + z^2/4 + CosIntegral[z] - Log[z], -EulerGamma + (1/2)*(z^2/2 - z^4/48) + CosIntegral[z] - Log[z], 
  -EulerGamma + (1/2)*(z^2/2 - z^4/48 + z^6/2160) + CosIntegral[z] - Log[z], SinIntegral[z], -(Pi/2) + SinIntegral[Sqrt[z]], 
  SinIntegral[z] - Sum1[((-1)^k*z^(1 + 2*k))/((1 + 2*k)*(1 + 2*k)!), {k, 0, n}], -z + SinIntegral[z], -z + z^3/18 + SinIntegral[z], 
  -z + z^3/18 - z^5/600 + SinIntegral[z], Cos[z]*CosIntegral[z] + Sin[z]*SinIntegral[z], 
  CosIntegral[z]*Sin[z] - Cos[z]*SinIntegral[z], Cos[z]*CosIntegral[z] + Sin[z]*(-(Pi/2) + SinIntegral[z]), 
  CosIntegral[z]*Sin[z] - Cos[z]*(-(Pi/2) + SinIntegral[z]), -(Pi^2/4) + CosIntegral[z]^2 + SinIntegral[z]^2, 
  CosIntegral[z]^2 + (-(Pi/2) + SinIntegral[z])^2, CosIntegral[Sqrt[z]]^2 + (-(Pi/2) + SinIntegral[Sqrt[z]])^2, 
  Cos[Sqrt[z]]*CosIntegral[Sqrt[z]] + Sin[Sqrt[z]]*(-(Pi/2) + SinIntegral[Sqrt[z]]), 
  CosIntegral[Sqrt[z]]*Sin[Sqrt[z]] - Cos[Sqrt[z]]*(-(Pi/2) + SinIntegral[Sqrt[z]]), 
  Cos[Sqrt[z]]*CosIntegral[Sqrt[z]] + Sin[Sqrt[z]]*SinIntegral[Sqrt[z]], CosIntegral[Sqrt[z]]*Sin[Sqrt[z]] - 
   Cos[Sqrt[z]]*SinIntegral[Sqrt[z]], -(Pi^2/4) + CosIntegral[Sqrt[z]]^2 + SinIntegral[Sqrt[z]]^2, -((I*Pi)/2) + CoshIntegral[z], 
  CoshIntegral[z] + (1/2)*(-2*Log[z] + Log[-z^2]), CoshIntegral[z] + Log[I*z] - Log[z], CoshIntegral[Sqrt[z]], 
  -EulerGamma + CoshIntegral[z] - Log[z], -EulerGamma + CoshIntegral[z] - Log[z] - (1/2)*Sum1[z^(2*k)/(k*(2*k)!), {k, 1, n}], 
  -EulerGamma - z^2/4 + CoshIntegral[z] - Log[z], -EulerGamma + (1/2)*(-(z^2/2) - z^4/48) + CoshIntegral[z] - Log[z], 
  -EulerGamma + (1/2)*(-(z^2/2) - z^4/48 - z^6/2160) + CoshIntegral[z] - Log[z], SinhIntegral[z], SinhIntegral[Sqrt[z]], 
  SinhIntegral[z] - Sum1[z^(1 + 2*k)/((1 + 2*k)*(1 + 2*k)!), {k, 0, n}], -z + SinhIntegral[z], -z - z^3/18 + SinhIntegral[z], 
  -z - z^3/18 - z^5/600 + SinhIntegral[z], Cosh[z]*CoshIntegral[z] - Sinh[z]*SinhIntegral[z], 
  CoshIntegral[z]*Sinh[z] - Cosh[z]*SinhIntegral[z], CoshIntegral[z]^2 - SinhIntegral[z]^2, 
  Cosh[Sqrt[z]]*CoshIntegral[Sqrt[z]] - Sinh[Sqrt[z]]*SinhIntegral[Sqrt[z]], CoshIntegral[Sqrt[z]]*Sinh[Sqrt[z]] - 
   Cosh[Sqrt[z]]*SinhIntegral[Sqrt[z]], CoshIntegral[Sqrt[z]]^2 - SinhIntegral[Sqrt[z]]^2, FresnelC[z], FresnelC[z^(1/4)], 
  -(1/2) + FresnelC[z^(1/4)], FresnelC[(1 + I)*Sqrt[2/Pi]*z^(1/4)], 
  FresnelC[z] - z*Sum1[(Pi^(2*k)*(-z^4)^k)/(2^(2*k)*((1 + 4*k)*(2*k)!)), {k, 0, n}], 
  FresnelC[z^(1/4)] - z^(1/4)*Sum1[(Pi^(2*k)*(-z)^k)/(2^(2*k)*((1 + 4*k)*(2*k)!)), {k, 0, n}], -z + FresnelC[z], 
  (-z)*(1 - (Pi^2*z^4)/40) + FresnelC[z], (-z)*(1 - (Pi^2*z^4)/40 + (Pi^4*z^8)/3456) + FresnelC[z], -z^(1/4) + FresnelC[z^(1/4)], 
  (-z^(1/4))*(1 - (Pi^2*z)/40) + FresnelC[z^(1/4)], (-z^(1/4))*(1 - (Pi^2*z)/40 + (Pi^4*z^2)/3456) + FresnelC[z^(1/4)], FresnelS[z], 
  FresnelS[z^(1/4)], -(1/2) + FresnelS[z^(1/4)], FresnelS[(1 + I)*Sqrt[2/Pi]*z^(1/4)], 
  FresnelS[z] - z^3*Sum1[(2^(-1 - 2*k)*Pi^(1 + 2*k)*(-z^4)^k)/((3 + 4*k)*(1 + 2*k)!), {k, 0, n}], 
  FresnelS[z^(1/4)] - z^(3/4)*Sum1[(2^(-1 - 2*k)*Pi^(1 + 2*k)*(-z)^k)/((3 + 4*k)*(1 + 2*k)!), {k, 0, n}], 
  -((Pi*z^3)/6) + FresnelS[z], (-z^3)*(Pi/6 - (Pi^3*z^4)/336) + FresnelS[z], (-z^3)*(Pi/6 - (Pi^3*z^4)/336 + (Pi^5*z^8)/42240) + 
   FresnelS[z], (-(1/6))*Pi*z^(3/4) + FresnelS[z^(1/4)], (-z^(3/4))*(Pi/6 - (Pi^3*z)/336) + FresnelS[z^(1/4)], 
  (-z^(3/4))*(Pi/6 - (Pi^3*z)/336 + (Pi^5*z^2)/42240) + FresnelS[z^(1/4)], Cos[(Pi*z^2)/2]*(1/2 - FresnelS[z]) - 
   (1/2 - FresnelC[z])*Sin[(Pi*z^2)/2], Cos[(Pi*z^2)/2]*FresnelS[z] - FresnelC[z]*Sin[(Pi*z^2)/2], FresnelC[z]^2 + FresnelS[z]^2, 
  FresnelC[z^(1/4)]^2 + FresnelS[z^(1/4)]^2, Cos[z]*(1/2 - FresnelS[Sqrt[2/Pi]*Sqrt[z]]) - 
   (1/2 - FresnelC[Sqrt[2/Pi]*Sqrt[z]])*Sin[z], Cos[z]*FresnelS[Sqrt[2/Pi]*Sqrt[z]] - FresnelC[Sqrt[2/Pi]*Sqrt[z]]*Sin[z], 
  Cos[z]*(1/2 - FresnelC[Sqrt[2/Pi]*Sqrt[z]]) + (1/2 - FresnelS[Sqrt[2/Pi]*Sqrt[z]])*Sin[z], 
  Cos[z]*FresnelC[Sqrt[2/Pi]*Sqrt[z]] + FresnelS[Sqrt[2/Pi]*Sqrt[z]]*Sin[z], 
  Cos[(Pi*z^2)/2]*FresnelC[z] + FresnelS[z]*Sin[(Pi*z^2)/2], Cos[(Pi*z^2)/2]*(1/2 - FresnelC[z]) + 
   (1/2 - FresnelS[z])*Sin[(Pi*z^2)/2], Erf[z], -1 + Erf[z], Erf[Sqrt[z]], 
  Erf[z] - (2*Sum1[((-1)^k*z^(1 + 2*k))/((1 + 2*k)*k!), {k, 0, n}])/Sqrt[Pi], -((2*z)/Sqrt[Pi]) + Erf[z], 
  -((2*(z - z^3/3))/Sqrt[Pi]) + Erf[z], -((2*(z - z^3/3 + z^5/10))/Sqrt[Pi]) + Erf[z], E^z^2*Erf[z], E^z*Erf[Sqrt[z]], Erfc[z], 
  -1 + Erfc[z], Erfc[Sqrt[z]], -1 + Erfc[z] + (2*Sum1[((-1)^k*z^(1 + 2*k))/((1 + 2*k)*k!), {k, 0, n}])/Sqrt[Pi], 
  -1 + (2*z)/Sqrt[Pi] + Erfc[z], -1 + (2*(z - z^3/3))/Sqrt[Pi] + Erfc[z], -1 + (2*(z - z^3/3 + z^5/10))/Sqrt[Pi] + Erfc[z], 
  E^z^2*Erfc[z], E^z*Erfc[Sqrt[z]], Erfi[z], I + Erfi[z], Erfi[Sqrt[z]], 
  Erfi[z] - (2*Sum1[z^(1 + 2*k)/((1 + 2*k)*k!), {k, 0, n}])/Sqrt[Pi], -((2*z)/Sqrt[Pi]) + Erfi[z], 
  -((2*(z + z^3/3))/Sqrt[Pi]) + Erfi[z], -((2*(z + z^3/3 + z^5/10))/Sqrt[Pi]) + Erfi[z], Erfi[z]/E^z^2, Erfi[Sqrt[z]]/E^z, 
  Erf[z] - Erfi[z], Erf[z]*Erfi[z], Erf[z] + Erfi[z], Erf[z^(1/4)]*Erfi[z^(1/4)], Erfc[z]*Erfi[z], Erfc[z^(1/4)]*Erfi[z^(1/4)], 
  DawsonF[z], DawsonF[Sqrt[z]], DawsonF[z] - Sum1[((-1)^k*z^(1 + 2*k))/Pochhammer[3/2, k], {k, 0, n}], -z + DawsonF[z], 
  -z + (2*z^3)/3 + DawsonF[z], -z + (2*z^3)/3 - (4*z^5)/15 + DawsonF[z], E^z^2*DawsonF[z], (I*Sqrt[Pi])/2 + E^z^2*DawsonF[z], 
  E^z*DawsonF[Sqrt[z]], E^z^2*DawsonF[z]*Erf[z], E^Sqrt[z]*DawsonF[z^(1/4)]*Erf[z^(1/4)], E^z^2*DawsonF[z]*Erfc[z], 
  E^Sqrt[z]*DawsonF[z^(1/4)]*Erfc[z^(1/4)], (-I)*Pi + ExpIntegralEi[z], I*Pi + ExpIntegralEi[z], 
  -EulerGamma + ExpIntegralEi[z] + (1/2)*(Log[1/z] - Log[z]), -EulerGamma + I*Pi + ExpIntegralEi[z] - Log[z], ExpIntegralEi[z], 
  -EulerGamma + ExpIntegralEi[z] - Log[z] - Sum1[z^k/(k*k!), {k, 1, n}], -EulerGamma + ExpIntegralEi[z] - Log[z], 
  -EulerGamma - z + ExpIntegralEi[z] - Log[z], -EulerGamma - z - z^2/4 + ExpIntegralEi[z] - Log[z], 
  -EulerGamma - z - z^2/4 - z^3/18 + ExpIntegralEi[z] - Log[z], ((-I)*Pi)/E^z + ExpIntegralEi[z]/E^z, 
  (I*Pi)/E^z + ExpIntegralEi[z]/E^z, ExpIntegralEi[z]/E^z, (-E^z)*ExpIntegralEi[-z] + ExpIntegralEi[z]/E^z, 
  ExpIntegralEi[-z]*ExpIntegralEi[z], ExpIntegralE[ν, z], ExpIntegralE[ν, z] - z^(-1 + ν)*Gamma[1 - ν] + 
   Sum1[((-1)^k*z^k)/((1 + k - ν)*k!), {k, 0, n}], 1/(1 - ν) + ExpIntegralE[ν, z] - z^(-1 + ν)*Gamma[1 - ν], 
  1/(1 - ν) - z/(2 - ν) + ExpIntegralE[ν, z] - z^(-1 + ν)*Gamma[1 - ν], 1/(1 - ν) - z/(2 - ν) + z^2/(2*(3 - ν)) + 
   ExpIntegralE[ν, z] - z^(-1 + ν)*Gamma[1 - ν], E^z*ExpIntegralE[ν, z], ExpIntegralE[ν, -z]*ExpIntegralE[ν, z], 
  ExpIntegralE[ν, (-I)*Sqrt[z]]*ExpIntegralE[ν, I*Sqrt[z]], Beta[z, a, b], Beta[z, a, b]/(1 - z)^b, Beta[1/z, a, b]/(-1 + z)^b, 
  Beta[z/(1 + z), a, b], (1 + z)^(-1 + a + b)*Beta[z/(1 + z), a, b], Beta[1/(1 + z), 1, a, b], 
  (1 + z)^(-1 + a + b)*Beta[1/(1 + z), 1, a, b], -Beta[z2, a, b] + Beta[z, z2, a, b], 
  Beta[z, a, b] - z^a*Sum1[(z^k*Pochhammer[1 - b, k])/((a + k)*k!), {k, 0, n}], -(z^a/a) + Beta[z, a, b], 
  (-z^a)*(1/a + ((1 - b)*z)/(1 + a)) + Beta[z, a, b], (-z^a)*(1/a + ((1 - b)*z)/(1 + a) + ((1 - b)*(2 - b)*z^2)/(2*(2 + a))) + 
   Beta[z, a, b], BetaRegularized[z, a, b], BetaRegularized[z, a, b]/(1 - z)^b, BetaRegularized[1/z, a, b]/(-1 + z)^b, 
  BetaRegularized[z/(1 + z), a, b], (1 + z)^(-1 + a + b)*BetaRegularized[z/(1 + z), a, b], BetaRegularized[1/(1 + z), 1, a, b], 
  (1 + z)^(-1 + a + b)*BetaRegularized[1/(1 + z), 1, a, b], -BetaRegularized[z2, a, b] + BetaRegularized[z, z2, a, b], 
  BetaRegularized[z1, a, b] + BetaRegularized[z1, z, a, b], BetaRegularized[z, a, b] - 
   (z^a*Sum1[(z^k*Pochhammer[1 - b, k])/((a + k)*k!), {k, 0, n}])/Beta[a, b], -(z^a/(a*Beta[a, b])) + BetaRegularized[z, a, b], 
  -((z^a*(1/a + ((1 - b)*z)/(1 + a)))/Beta[a, b]) + BetaRegularized[z, a, b], 
  -((z^a*(1/a + ((1 - b)*z)/(1 + a) + ((1 - b)*(2 - b)*z^2)/(2*(2 + a))))/Beta[a, b]) + BetaRegularized[z, a, b], 
  JacobiP[ν, a, b, 1 + 2*z], JacobiP[ν, a, b, -1 + 2*z], (1 + z)^b*JacobiP[ν, a, b, 1 + 2*z], 
  (1 - z)^a*JacobiP[ν, a, b, -1 + 2*z]*UnitStep[1 - Abs[z]], (-1 + z)^a*JacobiP[ν, a, b, -1 + 2*z]*UnitStep[-1 + Abs[z]], 
  (1 + z)^b*JacobiP[ν, a, b, 1 + 2/z], (1 + z)^(-1 - a - b - ν)*JacobiP[ν, a, b, (1 - z)/(1 + z)], 
  (1 + z)^(-1 - a - b - ν)*JacobiP[ν, a, b, (-1 + z)/(1 + z)], (1 - z)^a*JacobiP[ν, a, b, -1 + 2/z]*UnitStep[1 - Abs[z]], 
  (-1 + z)^b*JacobiP[ν, b, b, -1 + 2/z]*UnitStep[-1 + Abs[z]], (1 - z)^(-1 - a - b - n)*JacobiP[n, a, b, (1 + z)/(1 - z)]*
   UnitStep[1 - Abs[z]], (-1 + z)^(-1 - a - b - n)*JacobiP[n, a, b, (1 + z)/(-1 + z)]*UnitStep[-1 + Abs[z]], 
  GegenbauerC[ν, λ, 1 + 2*z], (1 + z)^(-(1/2) + λ)*GegenbauerC[ν, λ, 1 + 2*z], 
  (1 - z^2)^(-(1/2) + λ)*GegenbauerC[ν, λ, z]*UnitStep[1 - Abs[z]], (-1 + z^2)^(-(1/2) + λ)*GegenbauerC[ν, λ, z]*
   UnitStep[-1 + Abs[z]], (1 - z)^(-(1/2) + λ)*GegenbauerC[ν, λ, -1 + 2*z]*UnitStep[1 - Abs[z]], 
  (-1 + z)^(-(1/2) + λ)*GegenbauerC[ν, λ, -1 + 2*z]*UnitStep[-1 + Abs[z]], (1 - z^2)^(-(1/2) + λ)*GegenbauerC[ν, λ, 1/z]*
   UnitStep[1 - Abs[z]], (-1 + z^2)^(-(1/2) + λ)*GegenbauerC[ν, λ, 1/z]*UnitStep[-1 + Abs[z]], 
  (1 - z)^(-(1/2) + λ)*GegenbauerC[ν, λ, Sqrt[z]]*UnitStep[1 - Abs[z]], (-1 + z)^(-(1/2) + λ)*GegenbauerC[ν, λ, Sqrt[z]]*
   UnitStep[-1 + Abs[z]], (1 - z)^(-(1/2) + λ)*GegenbauerC[ν, λ, 1/Sqrt[z]]*UnitStep[1 - Abs[z]], 
  (-1 + z)^(-(1/2) + λ)*GegenbauerC[ν, λ, 1/Sqrt[z]]*UnitStep[-1 + Abs[z]], (1 + z)^(-(1/2) + λ)*GegenbauerC[ν, λ, 1 + 2/z], 
  (1 + z)^(-2*λ - ν)*GegenbauerC[ν, λ, (-1 + z)/(1 + z)], (1 + z)^(-2*λ - ν)*GegenbauerC[ν, λ, (1 - z)/(1 + z)], 
  (-1 + z)^(-(1/2) + λ)*GegenbauerC[ν, λ, -1 + 2/z]*UnitStep[-1 + Abs[z]], (1 - z)^(-(1/2) + λ)*GegenbauerC[ν, λ, -1 + 2/z]*
   UnitStep[1 - Abs[z]], (-1 + z^2)^(-1 + 2*λ)*GegenbauerC[ν, λ, (1 + z^2)/(2*z)]*UnitStep[-1 + Abs[z]], 
  (1 - z^2)^(-1 + 2*λ)*GegenbauerC[ν, λ, (1 + z^2)/(2*z)]*UnitStep[1 - Abs[z]], 
  (1 + z)^(-λ - ν/2)*GegenbauerC[ν, λ, 1/Sqrt[1 + z]], (1 + z)^(-λ - ν/2)*GegenbauerC[ν, λ, (2 + z)/(2*Sqrt[1 + z])], 
  (1 + z)^(-λ - ν/2)*GegenbauerC[ν, λ, Sqrt[z/(1 + z)]], 
  (1 + z)^(-λ - ν/2)*GegenbauerC[ν, λ, (1 + 2*z)/(2*Sqrt[z]*Sqrt[1 + z])], 
  (1 + z^2)^(-λ - ν/2)*GegenbauerC[ν, λ, (1 + 2*z^2)/(2*z*Sqrt[1 + z^2])], 
  (1 + z^2)^(-λ - ν/2)*GegenbauerC[ν, λ, z/Sqrt[1 + z^2]], (-1 + z)^(-1 + 2*λ)*GegenbauerC[ν, λ, (1 + z)/(2*Sqrt[z])]*
   UnitStep[-1 + Abs[z]], (1 - z)^(-1 + 2*λ)*GegenbauerC[ν, λ, (1 + z)/(2*Sqrt[z])]*UnitStep[1 - Abs[z]], 
  (1 - z)^(-(n/2) - λ)*GegenbauerC[n, λ, 1/Sqrt[1 - z]]*UnitStep[1 - Abs[z]], 
  (1 - z)^(-(n/2) - λ)*GegenbauerC[n, λ, (2 - z)/(2*Sqrt[1 - z])]*UnitStep[1 - Abs[z]], 
  (-1 + z)^(-(n/2) - λ)*GegenbauerC[n, λ, (-1 + 2*z)/(2*Sqrt[-1 + z]*Sqrt[z])]*UnitStep[-1 + Abs[z]], 
  (-1 + z^2)^(-(n/2) - λ)*GegenbauerC[n, λ, (-1 + 2*z^2)/(2*z*Sqrt[-1 + z^2])]*UnitStep[-1 + Abs[z]], 
  (-1 + z)^(-(n/2) - λ)*GegenbauerC[n, λ, Sqrt[z/(-1 + z)]]*UnitStep[-1 + Abs[z]], 
  (-1 + z^2)^(-(n/2) - λ)*GegenbauerC[n, λ, z/Sqrt[-1 + z^2]]*UnitStep[-1 + Abs[z]], ChebyshevT[ν, 1 + 2*z], 
  (ChebyshevT[ν, z]*UnitStep[-1 + Abs[z]])/Sqrt[-1 + z^2], (ChebyshevT[ν, z]*UnitStep[1 - Abs[z]])/Sqrt[1 - z^2], 
  (ChebyshevT[ν, -1 + 2*z]*UnitStep[-1 + Abs[z]])/Sqrt[-1 + z], (ChebyshevT[ν, -1 + 2*z]*UnitStep[1 - Abs[z]])/Sqrt[1 - z], 
  (ChebyshevT[ν, 1/z]*UnitStep[1 - Abs[z]])/Sqrt[1 - z^2], (ChebyshevT[ν, 1/z]*UnitStep[-1 + Abs[z]])/Sqrt[-1 + z^2], 
  (ChebyshevT[ν, 1 - 8*z + 8*z^2]*UnitStep[-1 + Abs[z]])/Sqrt[-1 + z], ChebyshevT[ν, (1 - z)/(1 + z)]/(1 + z)^ν, 
  ChebyshevT[ν, (-1 + z)/(1 + z)]/(1 + z)^ν, (ChebyshevT[ν, -1 + 2/z]*UnitStep[-1 + Abs[z]])/Sqrt[-1 + z], 
  (ChebyshevT[ν, -1 + 2/z]*UnitStep[1 - Abs[z]])/Sqrt[1 - z], (ChebyshevT[ν, 1 + 8/z^2 - 8/z]*UnitStep[1 - Abs[z]])/Sqrt[1 - z], 
  ChebyshevT[ν, Sqrt[z/(1 + z)]]/(1 + z)^(ν/2), ChebyshevT[ν, z/Sqrt[1 + z^2]]/(1 + z^2)^(ν/2), 
  ChebyshevT[ν, 1/Sqrt[1 + z]]/(1 + z)^(ν/2), ChebyshevU[ν, 1 + 2*z], Sqrt[1 - z^2]*ChebyshevU[ν, z]*UnitStep[1 - Abs[z]], 
  Sqrt[-1 + z^2]*ChebyshevU[ν, z]*UnitStep[-1 + Abs[z]], Sqrt[1 - z]*ChebyshevU[ν, -1 + 2*z]*UnitStep[1 - Abs[z]], 
  Sqrt[-1 + z]*ChebyshevU[ν, -1 + 2*z]*UnitStep[-1 + Abs[z]], Sqrt[1 - z^2]*ChebyshevU[ν, 1/z]*UnitStep[1 - Abs[z]], 
  Sqrt[-1 + z^2]*ChebyshevU[ν, 1/z]*UnitStep[-1 + Abs[z]], Sqrt[-1 + z]*(-1 + 2*z)*ChebyshevU[ν, 1 - 8*z + 8*z^2]*
   UnitStep[-1 + Abs[z]], (1 + z)^(-2 - ν)*ChebyshevU[ν, (1 - z)/(1 + z)], (1 + z)^(-2 - ν)*ChebyshevU[ν, (-1 + z)/(1 + z)], 
  (1 + z)^(-2 - ν)*(2 + z)*ChebyshevU[ν, (2 + 2*z + z^2)/(2*(1 + z))], 
  (1 + z)^(-2 - ν)*(1 + 2*z)*ChebyshevU[ν, (1 + 2*z + 2*z^2)/(2*z*(1 + z))], 
  Sqrt[1 - z]*ChebyshevU[ν, -1 + 2/z]*UnitStep[1 - Abs[z]], Sqrt[-1 + z]*ChebyshevU[ν, -1 + 2/z]*UnitStep[-1 + Abs[z]], 
  (1 - z^2)*ChebyshevU[ν, (1 + z^2)/(2*z)]*UnitStep[1 - Abs[z]], (-1 + z^2)*ChebyshevU[ν, (1 + z^2)/(2*z)]*UnitStep[-1 + Abs[z]], 
  Sqrt[1 - z]*(2 - z)*ChebyshevU[ν, 1 + 8/z^2 - 8/z]*UnitStep[1 - Abs[z]], (1 + z)^(-1 - ν/2)*ChebyshevU[ν, 1/Sqrt[1 + z]], 
  (1 + z)^(-1 - ν/2)*ChebyshevU[ν, (2 + z)/(2*Sqrt[1 + z])], (1 + z)^(-1 - ν/2)*ChebyshevU[ν, Sqrt[z/(1 + z)]], 
  (1 + z)^(-1 - ν/2)*ChebyshevU[ν, (1 + 2*z)/(2*Sqrt[z]*Sqrt[1 + z])], (1 + z^2)^(-1 - ν/2)*ChebyshevU[ν, z/Sqrt[1 + z^2]], 
  (1 + z^2)^(-1 - ν/2)*ChebyshevU[ν, (1 + 2*z^2)/(2*z*Sqrt[1 + z^2])], LaguerreL[ν, z], -LaguerreL[ν, -z] + LaguerreL[ν, z], 
  LaguerreL[ν, -z] + LaguerreL[ν, z], LaguerreL[ν, λ, z], -LaguerreL[ν, λ, -z] + LaguerreL[ν, λ, z], 
  LaguerreL[ν, λ, -z] + LaguerreL[ν, λ, z], LaguerreL[ν, z]/E^z, LaguerreL[ν, λ, z]/E^z, 
  (Cosh[z/2]*LaguerreL[ν, z])/E^(z/2), (Cosh[z]*LaguerreL[ν, 2*z])/E^z, (Cosh[z/2]*LaguerreL[ν, λ, z])/E^(z/2), 
  (Cosh[z]*LaguerreL[ν, λ, 2*z])/E^z, (LaguerreL[ν, z]*Sinh[z/2])/E^(z/2), (LaguerreL[ν, 2*z]*Sinh[z])/E^z, 
  (LaguerreL[ν, λ, z]*Sinh[z/2])/E^(z/2), (LaguerreL[ν, λ, 2*z]*Sinh[z])/E^z, LaguerreL[ν, -z]*LaguerreL[ν, z], 
  LaguerreL[ν, λ, -z]*LaguerreL[ν, λ, z], (LaguerreL[-1 - ν, z]*LaguerreL[ν, z])/E^z, 
  (LaguerreL[-1 - λ - ν, λ, z]*LaguerreL[ν, λ, z])/E^z, HermiteH[ν, z], -HermiteH[ν, -z] + HermiteH[ν, z], 
  HermiteH[ν, -z] + HermiteH[ν, z], HermiteH[ν, Sqrt[z]], HermiteH[ν, -Sqrt[z]], 
  -HermiteH[ν, -Sqrt[z]] + HermiteH[ν, Sqrt[z]], HermiteH[ν, -Sqrt[z]] + HermiteH[ν, Sqrt[z]], HermiteH[ν, z]/E^z^2, 
  HermiteH[ν, -z]/E^z^2, (-HermiteH[ν, -z] + HermiteH[ν, z])/E^z^2, (HermiteH[ν, -z] + HermiteH[ν, z])/E^z^2, 
  HermiteH[ν, Sqrt[z]]/E^z, HermiteH[ν, -Sqrt[z]]/E^z, (-HermiteH[ν, -Sqrt[z]] + HermiteH[ν, Sqrt[z]])/E^z, 
  (HermiteH[ν, -Sqrt[z]] + HermiteH[ν, Sqrt[z]])/E^z, (Cosh[z^2/2]*HermiteH[ν, z])/E^(z^2/2), 
  (Cosh[z^2/2]*HermiteH[ν, -z])/E^(z^2/2), (Cosh[z^2/2]*(-HermiteH[ν, -z] + HermiteH[ν, z]))/E^(z^2/2), 
  (Cosh[z^2/2]*(HermiteH[ν, -z] + HermiteH[ν, z]))/E^(z^2/2), (Cosh[z/2]*HermiteH[ν, Sqrt[z]])/E^(z/2), 
  (Cosh[z/2]*HermiteH[ν, -Sqrt[z]])/E^(z/2), (Cosh[z/2]*(-HermiteH[ν, -Sqrt[z]] + HermiteH[ν, Sqrt[z]]))/E^(z/2), 
  (Cosh[z/2]*(HermiteH[ν, -Sqrt[z]] + HermiteH[ν, Sqrt[z]]))/E^(z/2), (Cosh[z^2]*HermiteH[ν, Sqrt[2]*z])/E^z^2, 
  (Cosh[z^2]*HermiteH[ν, (-Sqrt[2])*z])/E^z^2, (Cosh[z^2]*(-HermiteH[ν, (-Sqrt[2])*z] + HermiteH[ν, Sqrt[2]*z]))/E^z^2, 
  (Cosh[z^2]*(HermiteH[ν, (-Sqrt[2])*z] + HermiteH[ν, Sqrt[2]*z]))/E^z^2, (Cosh[z]*HermiteH[ν, Sqrt[2]*Sqrt[z]])/E^z, 
  (Cosh[z]*HermiteH[ν, (-Sqrt[2])*Sqrt[z]])/E^z, (Cosh[z]*(-HermiteH[ν, (-Sqrt[2])*Sqrt[z]] + HermiteH[ν, Sqrt[2]*Sqrt[z]]))/E^z, 
  (Cosh[z]*(HermiteH[ν, (-Sqrt[2])*Sqrt[z]] + HermiteH[ν, Sqrt[2]*Sqrt[z]]))/E^z, (HermiteH[ν, z]*Sinh[z^2/2])/E^(z^2/2), 
  (HermiteH[ν, -z]*Sinh[z^2/2])/E^(z^2/2), ((-HermiteH[ν, -z] + HermiteH[ν, z])*Sinh[z^2/2])/E^(z^2/2), 
  ((HermiteH[ν, -z] + HermiteH[ν, z])*Sinh[z^2/2])/E^(z^2/2), (HermiteH[ν, Sqrt[z]]*Sinh[z/2])/E^(z/2), 
  (HermiteH[ν, -Sqrt[z]]*Sinh[z/2])/E^(z/2), ((-HermiteH[ν, -Sqrt[z]] + HermiteH[ν, Sqrt[z]])*Sinh[z/2])/E^(z/2), 
  ((HermiteH[ν, -Sqrt[z]] + HermiteH[ν, Sqrt[z]])*Sinh[z/2])/E^(z/2), (HermiteH[ν, Sqrt[2]*z]*Sinh[z^2])/E^z^2, 
  (HermiteH[ν, (-Sqrt[2])*z]*Sinh[z^2])/E^z^2, ((-HermiteH[ν, (-Sqrt[2])*z] + HermiteH[ν, Sqrt[2]*z])*Sinh[z^2])/E^z^2, 
  ((HermiteH[ν, (-Sqrt[2])*z] + HermiteH[ν, Sqrt[2]*z])*Sinh[z^2])/E^z^2, (HermiteH[ν, Sqrt[2]*Sqrt[z]]*Sinh[z])/E^z, 
  (HermiteH[ν, (-Sqrt[2])*Sqrt[z]]*Sinh[z])/E^z, ((-HermiteH[ν, (-Sqrt[2])*Sqrt[z]] + HermiteH[ν, Sqrt[2]*Sqrt[z]])*Sinh[z])/E^z, 
  ((HermiteH[ν, (-Sqrt[2])*Sqrt[z]] + HermiteH[ν, Sqrt[2]*Sqrt[z]])*Sinh[z])/E^z, 
  HermiteH[ν, z/E^((I*Pi)/4)]*HermiteH[ν, E^((I*Pi)/4)*z], HermiteH[ν, z^(1/4)/E^((I*Pi)/4)]*HermiteH[ν, E^((I*Pi)/4)*z^(1/4)], 
  (HermiteH[-1 - ν, z]*HermiteH[ν, z])/E^z^2, (HermiteH[-1 - ν, Sqrt[z]]*HermiteH[ν, Sqrt[z]])/E^z, 
  (HermiteH[-1 - ν, z^(1/4)]*HermiteH[ν, z^(1/4)])/E^Sqrt[z], E^(z^2/4)*ParabolicCylinderD[ν, z], 
  ParabolicCylinderD[ν, z]/E^(z^2/4), E^(z^2/4)*ParabolicCylinderD[ν, -z], ParabolicCylinderD[ν, -z]/E^(z^2/4), 
  ParabolicCylinderD[ν, 2*z]/E^z^2, E^z^2*ParabolicCylinderD[ν, 2*z], ParabolicCylinderD[ν, -2*z]/E^z^2, 
  E^z^2*ParabolicCylinderD[ν, -2*z], E^(z/4)*ParabolicCylinderD[ν, -Sqrt[z]], ParabolicCylinderD[ν, -Sqrt[z]]/E^(z/4), 
  E^(z/4)*ParabolicCylinderD[ν, Sqrt[z]], ParabolicCylinderD[ν, Sqrt[z]]/E^(z/4), ParabolicCylinderD[ν, -2*Sqrt[z]]/E^z, 
  E^z*ParabolicCylinderD[ν, -2*Sqrt[z]], ParabolicCylinderD[ν, 2*Sqrt[z]]/E^z, E^z*ParabolicCylinderD[ν, 2*Sqrt[z]], 
  Cosh[z^2/4]*ParabolicCylinderD[ν, z], Cosh[z^2/4]*ParabolicCylinderD[ν, -z], Cosh[z^2]*ParabolicCylinderD[ν, 2*z], 
  Cosh[z^2]*ParabolicCylinderD[ν, -2*z], Cosh[z/4]*ParabolicCylinderD[ν, Sqrt[z]], Cosh[z/4]*ParabolicCylinderD[ν, -Sqrt[z]], 
  Cosh[z]*ParabolicCylinderD[ν, 2*Sqrt[z]], Cosh[z]*ParabolicCylinderD[ν, -2*Sqrt[z]], ParabolicCylinderD[ν, z]*Sinh[z^2/4], 
  ParabolicCylinderD[ν, -z]*Sinh[z^2/4], ParabolicCylinderD[ν, 2*z]*Sinh[z^2], ParabolicCylinderD[ν, -2*z]*Sinh[z^2], 
  ParabolicCylinderD[ν, Sqrt[z]]*Sinh[z/4], ParabolicCylinderD[ν, -Sqrt[z]]*Sinh[z/4], ParabolicCylinderD[ν, 2*Sqrt[z]]*Sinh[z], 
  ParabolicCylinderD[ν, -2*Sqrt[z]]*Sinh[z], E^(z^2/4)*(-ParabolicCylinderD[ν, -z] + ParabolicCylinderD[ν, z]), 
  (ParabolicCylinderD[ν, -z] + ParabolicCylinderD[ν, z])/E^(z^2/4), (-ParabolicCylinderD[ν, -2*z] + ParabolicCylinderD[ν, 2*z])/
   E^z^2, E^z^2*(-ParabolicCylinderD[ν, -2*z] + ParabolicCylinderD[ν, 2*z]), 
  (ParabolicCylinderD[ν, -2*z] + ParabolicCylinderD[ν, 2*z])/E^z^2, 
  E^z^2*(ParabolicCylinderD[ν, -2*z] + ParabolicCylinderD[ν, 2*z]), 
  E^(z/4)*(-ParabolicCylinderD[ν, -Sqrt[z]] + ParabolicCylinderD[ν, Sqrt[z]]), 
  (-ParabolicCylinderD[ν, -Sqrt[z]] + ParabolicCylinderD[ν, Sqrt[z]])/E^(z/4), 
  E^(z/4)*(ParabolicCylinderD[ν, -Sqrt[z]] + ParabolicCylinderD[ν, Sqrt[z]]), 
  (ParabolicCylinderD[ν, -Sqrt[z]] + ParabolicCylinderD[ν, Sqrt[z]])/E^(z/4), 
  (-ParabolicCylinderD[ν, -2*Sqrt[z]] + ParabolicCylinderD[ν, 2*Sqrt[z]])/E^z, 
  E^z*(-ParabolicCylinderD[ν, -2*Sqrt[z]] + ParabolicCylinderD[ν, 2*Sqrt[z]]), 
  (ParabolicCylinderD[ν, -2*Sqrt[z]] + ParabolicCylinderD[ν, 2*Sqrt[z]])/E^z, 
  E^z*(ParabolicCylinderD[ν, -2*Sqrt[z]] + ParabolicCylinderD[ν, 2*Sqrt[z]]), 
  Cosh[z^2/4]*(ParabolicCylinderD[ν, -z] + ParabolicCylinderD[ν, z]), 
  Cosh[z^2/4]*(-ParabolicCylinderD[ν, -z] + ParabolicCylinderD[ν, z]), 
  Cosh[z^2]*(ParabolicCylinderD[ν, -2*z] + ParabolicCylinderD[ν, 2*z]), 
  Cosh[z^2]*(-ParabolicCylinderD[ν, -2*z] + ParabolicCylinderD[ν, 2*z]), 
  Cosh[z/4]*(-ParabolicCylinderD[ν, -Sqrt[z]] + ParabolicCylinderD[ν, Sqrt[z]]), 
  Cosh[z/4]*(ParabolicCylinderD[ν, -Sqrt[z]] + ParabolicCylinderD[ν, Sqrt[z]]), 
  Cosh[z]*(-ParabolicCylinderD[ν, -2*Sqrt[z]] + ParabolicCylinderD[ν, 2*Sqrt[z]]), 
  Cosh[z]*(ParabolicCylinderD[ν, -2*Sqrt[z]] + ParabolicCylinderD[ν, 2*Sqrt[z]]), 
  (-ParabolicCylinderD[ν, -z] + ParabolicCylinderD[ν, z])*Sinh[z^2/4], (ParabolicCylinderD[ν, -z] + ParabolicCylinderD[ν, z])*
   Sinh[z^2/4], (ParabolicCylinderD[ν, -2*z] + ParabolicCylinderD[ν, 2*z])*Sinh[z^2], 
  (-ParabolicCylinderD[ν, -2*z] + ParabolicCylinderD[ν, 2*z])*Sinh[z^2], 
  (ParabolicCylinderD[ν, -Sqrt[z]] + ParabolicCylinderD[ν, Sqrt[z]])*Sinh[z/4], 
  (-ParabolicCylinderD[ν, -Sqrt[z]] + ParabolicCylinderD[ν, Sqrt[z]])*Sinh[z/4], 
  (-ParabolicCylinderD[ν, -2*Sqrt[z]] + ParabolicCylinderD[ν, 2*Sqrt[z]])*Sinh[z], 
  (ParabolicCylinderD[ν, -2*Sqrt[z]] + ParabolicCylinderD[ν, 2*Sqrt[z]])*Sinh[z], 
  (HermiteH[-1 - ν, z/Sqrt[2]]*ParabolicCylinderD[ν, z])/E^(z^2/4), E^(z^2/4)*HermiteH[ν, -((I*z)/Sqrt[2])]*
   ParabolicCylinderD[ν, z], (HermiteH[-1 - ν, Sqrt[2]*z]*ParabolicCylinderD[ν, 2*z])/E^z^2, 
  E^z^2*HermiteH[ν, (-I)*Sqrt[2]*z]*ParabolicCylinderD[ν, 2*z], (HermiteH[ν, Sqrt[2]*z]*ParabolicCylinderD[-1 - ν, 2*z])/E^z^2, 
  (HermiteH[ν, Sqrt[2]*z]*ParabolicCylinderD[ν, 2*I*z])/E^z^2, (HermiteH[ν, z]*ParabolicCylinderD[-1 - ν, Sqrt[2]*z])/E^(z^2/2), 
  (HermiteH[ν, z]*ParabolicCylinderD[ν, I*Sqrt[2]*z])/E^(z^2/2), ParabolicCylinderD[-1 - ν, z]*ParabolicCylinderD[ν, z], 
  ParabolicCylinderD[ν, z/E^((I*Pi)/4)]*ParabolicCylinderD[ν, E^((I*Pi)/4)*z], 
  ParabolicCylinderD[-1 - ν, z^(1/4)]*ParabolicCylinderD[ν, z^(1/4)], ParabolicCylinderD[ν, z^(1/4)/E^((I*Pi)/4)]*
   ParabolicCylinderD[ν, E^((I*Pi)/4)*z^(1/4)], LegendreP[ν, 1 + 2*z], (1 + z)^(-1 - ν)*LegendreP[ν, (-1 + z)/(1 + z)], 
  (1 + z)^(-1 - ν)*LegendreP[ν, (1 - z)/(1 + z)], (1 + z)^((1/2)*(-1 - ν))*LegendreP[ν, 1/Sqrt[1 + z]], 
  (1 + z)^((1/2)*(-1 - ν))*LegendreP[ν, (1 + 2*z)/(2*Sqrt[z]*Sqrt[1 + z])], 
  (1 + z^2)^((1/2)*(-1 - ν))*LegendreP[ν, z/Sqrt[1 + z^2]], (1 + z^2)^((1/2)*(-1 - ν))*
   LegendreP[ν, (1 + 2*z^2)/(2*z*Sqrt[1 + z^2])], (1 + z)^((1/2)*(-1 - ν))*LegendreP[ν, Sqrt[z/(1 + z)]], 
  (1 + z)^((1/2)*(-1 - ν))*LegendreP[ν, (2 + z)/(2*Sqrt[1 + z])], LegendreP[ν, -1 + 2*z]*UnitStep[1 - Abs[z]], 
  LegendreP[ν, -1 + 2*z]*UnitStep[-1 + Abs[z]], LegendreP[ν, z]*UnitStep[1 - Abs[z]], LegendreP[ν, z]*UnitStep[-1 + Abs[z]], 
  LegendreP[ν, 1/z]*UnitStep[1 - Abs[z]], LegendreP[ν, 1/z]*UnitStep[-1 + Abs[z]], LegendreP[ν, -1 + 2/z]*UnitStep[-1 + Abs[z]], 
  LegendreP[ν, -1 + 2/z]*UnitStep[1 - Abs[z]], LegendreP[ν, (1 + z)/(2*Sqrt[z])]*UnitStep[1 - Abs[z]], 
  LegendreP[ν, (1 + z)/(2*Sqrt[z])]*UnitStep[-1 + Abs[z]], LegendreP[n, (1 + z)/(2*Sqrt[z])]*UnitStep[1 - Abs[z]], 
  LegendreP[ν, (1 + z^2)/(2*z)]*UnitStep[-1 + Abs[z]], LegendreP[ν, (1 + z^2)/(2*z)]*UnitStep[1 - Abs[z]], 
  ((-1 + z)/z)^((1/2)*(-1 + n - 2*Floor[n/2]))*LegendreP[n, Sqrt[(-1 + z)/z]]*UnitStep[-1 + Abs[z]], 
  LegendreP[ν, -z + Sqrt[1 + z^2]]*LegendreP[ν, z + Sqrt[1 + z^2]], LegendreP[ν, -Sqrt[z] + Sqrt[1 + z]]*
   LegendreP[ν, Sqrt[z] + Sqrt[1 + z]], LegendreP[ν, (-1 + Sqrt[1 + z])/Sqrt[z]]*LegendreP[ν, (1 + Sqrt[1 + z])/Sqrt[z]], 
  LegendreP[ν, (-1 + Sqrt[1 + z^2])/z]*LegendreP[ν, (1 + Sqrt[1 + z^2])/z], (1 + z)^(μ/2)*LegendreP[ν, μ, 1 + 2*z], 
  LegendreP[ν, μ, 1 + 2*z]/(1 + z)^(μ/2), LegendreP[ν, μ, 1 + 2/z]/(-1 - z)^(μ/2), (1 + z)^(μ/2)*LegendreP[ν, μ, 1 + 2/z], 
  LegendreP[ν, μ, 1 + 2/z]/(1 + z)^(μ/2), (1 + z)^ν*LegendreP[ν, μ, (-1 + z)/(1 + z)], 
  (1 + z)^ν*LegendreP[ν, μ, (1 - z)/(1 + z)], (1 + z)^(ν/2)*LegendreP[ν, μ, 1/Sqrt[1 + z]], 
  (1 + z)^(ν/2)*LegendreP[ν, μ, Sqrt[z/(1 + z)]], (1 + z^2)^(ν/2)*LegendreP[ν, μ, z/Sqrt[1 + z^2]], 
  (LegendreP[ν, μ, z]*UnitStep[1 - Abs[z]])/(1 - z^2)^(μ/2), (LegendreP[ν, μ, -1 + 2*z]*UnitStep[1 - Abs[z]])/(1 - z)^(μ/2), 
  (LegendreP[ν, μ, 1/z]*UnitStep[-1 + Abs[z]])/(-1 + z^2)^(μ/2), (LegendreP[ν, μ, -1 + 2/z]*UnitStep[-1 + Abs[z]])/
   (-1 + z)^(μ/2), (LegendreP[ν, μ, Sqrt[z]]*UnitStep[1 - Abs[z]])/(1 - z)^(μ/2), 
  (LegendreP[ν, μ, 1/Sqrt[z]]*UnitStep[-1 + Abs[z]])/(-1 + z)^(μ/2), 
  ((LegendreP[ν, μ, -Sqrt[1 - z]] + LegendreP[ν, μ, Sqrt[1 - z]])*UnitStep[1 - Abs[z]])/Sqrt[1 - z], 
  ((LegendreP[ν, μ, -Sqrt[(-1 + z)/z]] + LegendreP[ν, μ, Sqrt[(-1 + z)/z]])*UnitStep[-1 + Abs[z]])/Sqrt[-1 + z], 
  ((LegendreP[ν, μ, -(Sqrt[-1 + z^2]/z)] + LegendreP[ν, μ, Sqrt[-1 + z^2]/z])*UnitStep[-1 + Abs[z]])/Sqrt[-1 + z^2], 
  (LegendreP[ν, 1/2 + ν, (2*Sqrt[z])/(1 + z)]*((-1 + z^2)*Sign[-1 + Abs[z]])^(1/2 + ν))/Sqrt[1 + z], 
  (LegendreP[ν, -(1/2) - ν, (2*Sqrt[z])/(1 + z)]*((-1 + z^2)*Sign[-1 + Abs[z]])^(1/2 + ν))/Sqrt[1 + z], 
  (LegendreP[ν, 1/2 + ν, (2*z^(1/4))/(1 + Sqrt[z])]*((-1 + z)*Sign[-1 + Abs[z]])^(1/2 + ν))/Sqrt[1 + Sqrt[z]], 
  LegendreP[-(1/4), μ, (1 - 6*z + z^2)/(1 + z)^2]/(((1 - z)*Sign[1 - Abs[z]])^μ*Sqrt[1 + z]), 
  (LegendreP[-(1/4), μ, -((1 - 6*z + z^2)/(1 + z)^2)]*((1 - z)*Sign[1 - Abs[z]])^μ)/Sqrt[1 + z], 
  (1 + z)^(μ/2)*LegendreP[ν, μ, 3, 1 + 2*z], LegendreP[ν, μ, 3, 1 + 2*z]/(1 + z)^(μ/2), 
  (1 + z)^(μ/2)*LegendreP[ν, μ, 3, 1 + 2/z], LegendreP[ν, μ, 3, 1 + 2/z]/(1 + z)^(μ/2), LegendreP[ν, μ, 3, Sqrt[1 + z]], 
  LegendreP[ν, μ, 3, Sqrt[1 + z]]/Sqrt[1 + z], LegendreP[ν, μ, 3, Sqrt[(1 + z)/z]], LegendreP[ν, μ, 3, Sqrt[1 + z^2]/z], 
  (1 + z)^(ν/2)*LegendreP[ν, μ, 3, (2 + z)/(2*Sqrt[1 + z])], 
  (1 + z^2)^(ν/2)*LegendreP[ν, μ, 3, (1 + 2*z^2)/(2*z*Sqrt[1 + z^2])], 
  (1 + z)^(ν/2)*LegendreP[ν, μ, 3, (1 + 2*z)/(2*Sqrt[z + z^2])], LegendreP[ν, μ, 3, Sqrt[(1 + z)/z]]/Sqrt[1 + z], 
  LegendreP[ν, μ, 3, Sqrt[1 + z^2]/z]/Sqrt[1 + z^2], LegendreP[ν, μ, 3, Sqrt[1 + z]]^2, LegendreP[ν, μ, 3, Sqrt[(1 + z)/z]]^2, 
  LegendreP[ν, μ, 3, Sqrt[1 + z^2]/z]^2, (LegendreP[ν, μ, 3, z]*UnitStep[-1 + Abs[z]])/(-1 + z^2)^(μ/2), 
  (LegendreP[ν, μ, 3, -1 + 2*z]*UnitStep[-1 + Abs[z]])/(-1 + z)^(μ/2), (LegendreP[ν, μ, 3, 1/z]*UnitStep[1 - Abs[z]])/
   (1 - z^2)^(μ/2), (LegendreP[ν, μ, 3, -1 + 2/z]*UnitStep[1 - Abs[z]])/(1 - z)^(μ/2), 
  (LegendreP[ν, μ, 3, Sqrt[z]]*UnitStep[-1 + Abs[z]])/(-1 + z)^(μ/2), (LegendreP[ν, μ, 3, 1/Sqrt[z]]*UnitStep[1 - Abs[z]])/
   (1 - z)^(μ/2), (LegendreP[ν, μ, 3, (1 + z)/(2*Sqrt[z])]*UnitStep[1 - Abs[z]])/(1 - z)^μ, 
  (LegendreP[ν, μ, 3, (1 + z)/(2*Sqrt[z])]*UnitStep[-1 + Abs[z]])/(-1 + z)^μ, 
  (LegendreP[ν, μ, 3, (1 + z^2)/(2*z)]*UnitStep[1 - Abs[z]])/(1 - z^2)^μ, 
  (LegendreP[ν, μ, 3, (1 + z^2)/(2*z)]*UnitStep[-1 + Abs[z]])/(-1 + z^2)^μ, LegendreP[ν, μ, 3, (1 + z)/(2*Sqrt[z])]/
   ((-1 + z)*Sign[-1 + Abs[z]])^μ, LegendreP[ν, μ, 3, (1 + z)/(2*Sqrt[z])]*((-1 + z)*Sign[-1 + Abs[z]])^μ, 
  LegendreP[ν, μ, 3, (1 + z^2)/(2*z)]/((-1 + z^2)*Sign[-1 + Abs[z]])^μ, LegendreP[ν, μ, 3, (1 + z^2)/(2*z)]*
   ((-1 + z^2)*Sign[-1 + Abs[z]])^μ, LegendreP[ν, μ, 3, (1 + z)/((1 - z)*Sign[1 - Abs[z]])]*((1 - z)*Sign[1 - Abs[z]])^ν, 
  LegendreP[ν, -μ, 3, Sqrt[1 + z]]*LegendreP[ν, μ, 3, Sqrt[1 + z]], 
  (LegendreP[ν, μ, 3, Sqrt[1 + z]]*LegendreP[ν, 1 + μ, 3, Sqrt[1 + z]])/Sqrt[1 + z], 
  (LegendreP[-ν, μ, 3, Sqrt[1 + z]]*LegendreP[ν, μ, 3, Sqrt[1 + z]])/Sqrt[1 + z], 
  LegendreP[-(1/2) - μ, -(1/2) - ν, 3, Sqrt[1 + 1/z]]*LegendreP[ν, μ, 3, Sqrt[1 + z]], 
  LegendreP[-(1/2) + μ, 1/2 + ν, 3, Sqrt[1 + 1/z]]*LegendreP[ν, μ, 3, Sqrt[1 + z]], 
  LegendreP[ν, -μ, 3, Sqrt[(1 + z)/z]]*LegendreP[ν, μ, 3, Sqrt[(1 + z)/z]], 
  (LegendreP[-ν, μ, 3, Sqrt[(1 + z)/z]]*LegendreP[ν, μ, 3, Sqrt[(1 + z)/z]])/Sqrt[1 + z], 
  (LegendreP[ν, μ, 3, Sqrt[(1 + z)/z]]*LegendreP[ν, 1 + μ, 3, Sqrt[(1 + z)/z]])/Sqrt[1 + z], 
  LegendreP[-(1/2) - μ, -(1/2) - ν, 3, Sqrt[1 + z^2]/z]*LegendreP[ν, μ, 3, Sqrt[1 + z^2]], 
  LegendreP[-(1/2) + μ, 1/2 + ν, 3, Sqrt[1 + z^2]/z]*LegendreP[ν, μ, 3, Sqrt[1 + z^2]], 
  LegendreP[ν, -μ, 3, Sqrt[1 + z^2]/z]*LegendreP[ν, μ, 3, Sqrt[1 + z^2]/z], 
  (LegendreP[-ν, μ, 3, Sqrt[1 + z^2]/z]*LegendreP[ν, μ, 3, Sqrt[1 + z^2]/z])/Sqrt[1 + z^2], 
  (LegendreP[ν, μ, 3, Sqrt[1 + z^2]/z]*LegendreP[ν, 1 + μ, 3, Sqrt[1 + z^2]/z])/Sqrt[1 + z^2], 
  (1 + z)^(-1 - ν)*LegendreQ[ν, (-1 + z)/(1 + z)], (1 + z)^(-1 - ν)*LegendreQ[ν, (1 - z)/(1 + z)], 
  (1 + z)^(-1 - ν)*LegendreQ[ν, μ, (-1 + z)/(1 + z)], (1 + z)^ν*LegendreQ[ν, μ, (-1 + z)/(1 + z)], 
  (1 + z)^(-1 - ν)*LegendreQ[ν, μ, (1 - z)/(1 + z)], (1 + z)^ν*LegendreQ[ν, μ, (1 - z)/(1 + z)], 
  (1 + z)^(ν/2)*LegendreQ[ν, μ, 1/Sqrt[1 + z]], (1 + z)^((1/2)*(-1 - ν))*LegendreQ[ν, μ, 1/Sqrt[1 + z]], 
  (1 + z)^(ν/2)*LegendreQ[ν, μ, Sqrt[z/(1 + z)]], (1 + z)^((1/2)*(-1 - ν))*LegendreQ[ν, μ, Sqrt[z/(1 + z)]], 
  (1 + z^2)^(ν/2)*LegendreQ[ν, μ, z/Sqrt[1 + z^2]], (1 + z^2)^((1/2)*(-1 - ν))*LegendreQ[ν, μ, z/Sqrt[1 + z^2]], 
  ((LegendreQ[ν, μ, -Sqrt[1 - z]] + LegendreQ[ν, μ, Sqrt[1 - z]])*UnitStep[1 - Abs[z]])/Sqrt[1 - z], 
  ((LegendreQ[ν, μ, -Sqrt[(-1 + z)/z]] + LegendreQ[ν, μ, Sqrt[(-1 + z)/z]])*UnitStep[-1 + Abs[z]])/Sqrt[-1 + z], 
  ((LegendreQ[ν, μ, -(Sqrt[-1 + z^2]/z)] + LegendreQ[ν, μ, Sqrt[-1 + z^2]/z])*UnitStep[-1 + Abs[z]])/Sqrt[-1 + z^2], 
  (LegendreQ[ν, 1/2 + ν, (2*z^(1/4))/(1 + Sqrt[z])]*((-1 + z)*Sign[-1 + Abs[z]])^(1/2 + ν))/Sqrt[1 + Sqrt[z]], 
  (LegendreQ[ν, 1/2 + ν, (2*Sqrt[z])/(1 + z)]*((-1 + z^2)*Sign[-1 + Abs[z]])^(1/2 + ν))/Sqrt[1 + z], 
  (1 + z)^(μ/2)*LegendreQ[ν, μ, 3, 1 + 2*z], LegendreQ[ν, μ, 3, 1 + 2*z]/(1 + z)^(μ/2), 
  (1 + z)^(μ/2)*LegendreQ[ν, μ, 3, 1 + 2/z], LegendreQ[ν, μ, 3, 1 + 2/z]/(1 + z)^(μ/2), LegendreQ[ν, μ, 3, Sqrt[1 + z]], 
  LegendreQ[ν, μ, 3, Sqrt[1 + z]]/Sqrt[1 + z], LegendreQ[ν, μ, 3, Sqrt[(1 + z)/z]], LegendreQ[ν, μ, 3, Sqrt[1 + z^2]/z], 
  (1 + z)^(ν/2)*LegendreQ[ν, μ, 3, (2 + z)/(2*Sqrt[1 + z])], (1 + z)^((1/2)*(-1 - ν))*
   LegendreQ[ν, μ, 3, (2 + z)/(2*Sqrt[1 + z])], (1 + z)^(ν/2)*LegendreQ[ν, μ, 3, (1 + 2*z)/(2*Sqrt[z]*Sqrt[1 + z])], 
  (1 + z)^((1/2)*(-1 - ν))*LegendreQ[ν, μ, 3, (1 + 2*z)/(2*Sqrt[z]*Sqrt[1 + z])], 
  (1 + z^2)^(ν/2)*LegendreQ[ν, μ, 3, (1 + 2*z^2)/(2*z*Sqrt[1 + z^2])], 
  (1 + z^2)^((1/2)*(-1 - ν))*LegendreQ[ν, μ, 3, (1 + 2*z^2)/(2*z*Sqrt[1 + z^2])], 
  LegendreQ[ν, μ, 3, Sqrt[(1 + z)/z]]/Sqrt[1 + z], LegendreQ[ν, μ, 3, Sqrt[1 + z^2]/z]/Sqrt[1 + z^2], 
  (-1 + z)^ν*LegendreQ[ν, μ, 3, (1 + z)/(-1 + z)]*UnitStep[-1 + Abs[z]], (1 - z)^ν*LegendreQ[ν, μ, 3, (1 + z)/(1 - z)]*
   UnitStep[1 - Abs[z]], LegendreQ[ν, μ, 3, (1 + z)/(2*Sqrt[z])]/((1 - z)*Sign[1 - Abs[z]])^μ, 
  LegendreQ[ν, μ, 3, (1 + z^2)/(2*z)]/((1 - z^2)*Sign[1 - Abs[z]])^μ, (1 - z)^(ν/2)*LegendreQ[ν, μ, 3, 1/Sqrt[1 - z]]*
   UnitStep[1 - Abs[z]], (-1 + z)^(ν/2)*LegendreQ[ν, μ, 3, (-1 + 2*z)/(2*Sqrt[-1 + z]*Sqrt[z])]*UnitStep[-1 + Abs[z]], 
  (-1 + z^2)^(ν/2)*LegendreQ[ν, μ, 3, z/Sqrt[-1 + z^2]]*UnitStep[-1 + Abs[z]], 
  (-1 + z^2)^(ν/2)*LegendreQ[ν, μ, 3, (-1 + 2*z^2)/(2*z*Sqrt[-1 + z^2])]*UnitStep[-1 + Abs[z]], 
  (1 - z)^(ν/2)*LegendreQ[ν, μ, 3, (2 - z)/(2*Sqrt[1 - z])]*UnitStep[1 - Abs[z]], 
  (-1 + z)^(ν/2)*LegendreQ[ν, μ, 3, Sqrt[z/(-1 + z)]]*UnitStep[-1 + Abs[z]], 
  LegendreQ[ν, μ, 3, (1 + z)/((-1 + z)*Sign[-1 + Abs[z]])]*((-1 + z)*Sign[-1 + Abs[z]])^(-1 - ν), 
  LegendreQ[ν, μ, 3, (1 + z)/((-1 + z)*Sign[-1 + Abs[z]])]*((-1 + z)*Sign[-1 + Abs[z]])^ν, 
  (LegendreQ[ν, μ, 3, Sqrt[1 + z]]*LegendreQ[ν, 1 + μ, 3, Sqrt[1 + z]])/Sqrt[1 + z], 
  LegendreQ[-1 - ν, μ, 3, Sqrt[1 + z]]*LegendreQ[ν, μ, 3, Sqrt[1 + z]], 
  (LegendreQ[ν, μ, 3, Sqrt[(1 + z)/z]]*LegendreQ[ν, 1 + μ, 3, Sqrt[(1 + z)/z]])/Sqrt[1 + z], 
  LegendreQ[-1 - ν, μ, 3, Sqrt[(1 + z)/z]]*LegendreQ[ν, μ, 3, Sqrt[(1 + z)/z]], 
  (LegendreQ[ν, μ, 3, Sqrt[(1 + z)/z]]*LegendreQ[1 + ν, μ, 3, Sqrt[(1 + z)/z]])/Sqrt[1 + z], 
  LegendreQ[-(1/2) - μ, -(1/2) - ν, 3, Sqrt[1 + 1/z]]*LegendreQ[ν, μ, 3, Sqrt[1 + z]], 
  LegendreQ[-(1/2) + μ, 1/2 + ν, 3, Sqrt[1 + 1/z]]*LegendreQ[ν, μ, 3, Sqrt[1 + z]], 
  LegendreQ[-(1/2) - μ, -(1/2) - ν, 3, Sqrt[1 + 1/z^2]]*LegendreQ[ν, μ, 3, Sqrt[1 + z^2]], 
  LegendreQ[-(1/2) + μ, 1/2 + ν, 3, Sqrt[1 + 1/z^2]]*LegendreQ[ν, μ, 3, Sqrt[1 + z^2]], 
  (LegendreQ[ν, μ, 3, Sqrt[1 + z^2]/z]*LegendreQ[ν, 1 + μ, 3, Sqrt[1 + z^2]/z])/Sqrt[1 + z^2], 
  (LegendreQ[ν, μ, 3, Sqrt[1 + z^2]/z]*LegendreQ[1 + ν, μ, 3, Sqrt[1 + z^2]/z])/Sqrt[1 + z^2], 
  LegendreQ[-1 - ν, μ, 3, Sqrt[1 + z^2]/z]*LegendreQ[ν, μ, 3, Sqrt[1 + z^2]/z], 
  (LegendreQ[ν, μ, 3, Sqrt[1 + z]]*LegendreQ[1 + ν, μ, 3, Sqrt[1 + z]])/Sqrt[1 + z], LegendreQ[ν, μ, 3, Sqrt[1 + z]]^2, 
  LegendreQ[ν, μ, 3, Sqrt[(1 + z)/z]]^2, LegendreQ[ν, μ, 3, Sqrt[1 + z^2]/z]^2, 
  LegendreP[ν, -μ, 3, Sqrt[1 + z^2]/z]*LegendreQ[ν, μ, 3, Sqrt[1 + z^2]/z], 
  LegendreP[ν, μ, 3, Sqrt[1 + z^2]/z]*LegendreQ[ν, μ, 3, Sqrt[1 + z^2]/z], 
  LegendreP[ν, -μ, 3, Sqrt[1 + z]]*LegendreQ[ν, μ, 3, Sqrt[1 + z]], LegendreP[ν, μ, 3, Sqrt[1 + z]]*
   LegendreQ[ν, μ, 3, Sqrt[1 + z]], LegendreP[-(1/2) - μ, -(1/2) - ν, 3, Sqrt[1 + 1/z]]*LegendreQ[ν, μ, 3, Sqrt[1 + z]], 
  LegendreP[-(1/2) + μ, 1/2 + ν, 3, Sqrt[1 + 1/z]]*LegendreQ[ν, μ, 3, Sqrt[1 + z]], 
  LegendreP[-(1/2) - μ, -(1/2) - ν, 3, Sqrt[1 + z^2]/z]*LegendreQ[ν, μ, 3, Sqrt[1 + z^2]], 
  LegendreP[-(1/2) + μ, 1/2 + ν, 3, Sqrt[1 + z^2]/z]*LegendreQ[ν, μ, 3, Sqrt[1 + z^2]], 
  LegendreP[-(1/2) - μ, -(1/2) - ν, 3, Sqrt[1 + z]]*LegendreQ[ν, μ, 3, Sqrt[(1 + z)/z]], 
  LegendreP[-(1/2) + μ, 1/2 + ν, 3, Sqrt[1 + z]]*LegendreQ[ν, μ, 3, Sqrt[(1 + z)/z]], 
  LegendreP[ν, -μ, 3, Sqrt[(1 + z)/z]]*LegendreQ[ν, μ, 3, Sqrt[(1 + z)/z]], 
  LegendreP[ν, μ, 3, Sqrt[(1 + z)/z]]*LegendreQ[ν, μ, 3, Sqrt[(1 + z)/z]], LegendreP[-(1/2) - μ, -(1/2) - ν, 3, Sqrt[1 + z^2]]*
   LegendreQ[ν, μ, 3, Sqrt[1 + z^2]/z], LegendreP[-(1/2) + μ, 1/2 + ν, 3, Sqrt[1 + z^2]]*LegendreQ[ν, μ, 3, Sqrt[1 + z^2]/z], 
  (LegendreP[1/2 + μ, -(1/2) - ν, 3, Sqrt[1 + 1/z]]*LegendreQ[ν, μ, 3, Sqrt[1 + z]])/Sqrt[1 + z], 
  (LegendreP[-(1/2) + μ, 1/2 - ν, 3, Sqrt[1 + 1/z]]*LegendreQ[ν, μ, 3, Sqrt[1 + z]])/Sqrt[1 + z], 
  (LegendreP[-(1/2) + μ, -(3/2) - ν, 3, Sqrt[1 + 1/z]]*LegendreQ[ν, μ, 3, Sqrt[1 + z]])/Sqrt[1 + z], 
  (LegendreP[1/2 + μ, -(1/2) - ν, 3, Sqrt[1 + z]]*LegendreQ[ν, μ, 3, Sqrt[(1 + z)/z]])/Sqrt[1 + z], 
  (LegendreP[-(1/2) + μ, 1/2 - ν, 3, Sqrt[1 + z]]*LegendreQ[ν, μ, 3, Sqrt[(1 + z)/z]])/Sqrt[1 + z], 
  (LegendreP[-(1/2) + μ, -(3/2) - ν, 3, Sqrt[1 + z]]*LegendreQ[ν, μ, 3, Sqrt[(1 + z)/z]])/Sqrt[1 + z], 
  (LegendreP[1/2 + μ, -(1/2) - ν, 3, Sqrt[1 + z^2]/z]*LegendreQ[ν, μ, 3, Sqrt[1 + z^2]])/Sqrt[1 + z^2], 
  (LegendreP[-(1/2) + μ, 1/2 - ν, 3, Sqrt[1 + z^2]/z]*LegendreQ[ν, μ, 3, Sqrt[1 + z^2]])/Sqrt[1 + z^2], 
  (LegendreP[-(1/2) + μ, -(3/2) - ν, 3, Sqrt[1 + z^2]/z]*LegendreQ[ν, μ, 3, Sqrt[1 + z^2]])/Sqrt[1 + z^2], 
  (LegendreP[1/2 + μ, -(1/2) - ν, 3, Sqrt[1 + z^2]]*LegendreQ[ν, μ, 3, Sqrt[1 + z^2]/z])/Sqrt[1 + z^2], 
  (LegendreP[-(1/2) + μ, 1/2 - ν, 3, Sqrt[1 + z^2]]*LegendreQ[ν, μ, 3, Sqrt[1 + z^2]/z])/Sqrt[1 + z^2], 
  (LegendreP[-(1/2) + μ, -(3/2) - ν, 3, Sqrt[1 + z^2]]*LegendreQ[ν, μ, 3, Sqrt[1 + z^2]/z])/Sqrt[1 + z^2], Fibonacci[ν, z], 
  Fibonacci[ν, -2*I*(1 + 2*z)], Fibonacci[ν, 2*I*(1 + 2*z)], Fibonacci[ν, Sqrt[z]], AiryAi[z], AiryAi[z]^2, 
  E^((2*z^(3/2))/3)*AiryAi[z], AiryAi[z]/E^((2*z^(3/2))/3), AiryAi[(3/2)^(2/3)*z^(2/3)]/E^z, E^z*AiryAi[(3/2)^(2/3)*z^(2/3)], 
  AiryAi[z]*Cosh[(2*z^(3/2))/3], AiryAi[(3/2)^(2/3)*z^(2/3)]*Cosh[z], AiryAi[z]*Sinh[(2*z^(3/2))/3], 
  AiryAi[(3/2)^(2/3)*z^(2/3)]*Sinh[z], AiryAiPrime[z], AiryAiPrime[z]^2, E^((2*z^(3/2))/3)*AiryAiPrime[z], 
  AiryAiPrime[z]/E^((2*z^(3/2))/3), AiryAiPrime[(3/2)^(2/3)*z^(2/3)]/E^z, E^z*AiryAiPrime[(3/2)^(2/3)*z^(2/3)], 
  AiryAiPrime[z]*Cosh[(2*z^(3/2))/3], AiryAiPrime[(3/2)^(2/3)*z^(2/3)]*Cosh[z], AiryAiPrime[z]*Sinh[(2*z^(3/2))/3], 
  AiryAiPrime[(3/2)^(2/3)*z^(2/3)]*Sinh[z], AiryBi[z], AiryBi[z]^2, AiryBi[z]/E^((2*z^(3/2))/3), E^((2*z^(3/2))/3)*AiryBi[z], 
  AiryBi[(3/2)^(2/3)*z^(2/3)]/E^z, E^z*AiryBi[(3/2)^(2/3)*z^(2/3)], AiryBi[z]*Cosh[(2*z^(3/2))/3], 
  AiryBi[(3/2)^(2/3)*z^(2/3)]*Cosh[z], AiryBi[z]*Sinh[(2*z^(3/2))/3], AiryBi[(3/2)^(2/3)*z^(2/3)]*Sinh[z], AiryBiPrime[z], 
  AiryBiPrime[z]^2, E^((2*z^(3/2))/3)*AiryBiPrime[z], AiryBiPrime[z]/E^((2*z^(3/2))/3), AiryBiPrime[(3/2)^(2/3)*z^(2/3)]/E^z, 
  E^z*AiryBiPrime[(3/2)^(2/3)*z^(2/3)], AiryBiPrime[z]*Cosh[(2*z^(3/2))/3], AiryBiPrime[(3/2)^(2/3)*z^(2/3)]*Cosh[z], 
  AiryBiPrime[z]*Sinh[(2*z^(3/2))/3], AiryBiPrime[(3/2)^(2/3)*z^(2/3)]*Sinh[z], AiryAi[z]*AiryAiPrime[z], AiryAi[z]*AiryBi[z], 
  AiryAiPrime[z]*AiryBi[z] + 1/(Sqrt[3]*Gamma[1/3]*Gamma[2/3]), 1/(2*Pi) + AiryAiPrime[z]*AiryBi[z], 
  -(1/(2*Pi)) + AiryAi[z]*AiryBiPrime[z], AiryAiPrime[z]*AiryBiPrime[z], AiryBi[z]*AiryBiPrime[z], PolyLog[2, z], PolyLog[3, z], 
  PolyLog[4, z], PolyLog[5, z], StruveH[ν, z], StruveH[ν, Sqrt[z]], 
  StruveH[ν, z] - Sum1[((-1)^k*2^(-1 - 2*k - ν)*z^(1 + 2*k + ν))/(Gamma[3/2 + k]*Gamma[3/2 + k + ν]), {k, 0, n}], 
  -(z^(1 + ν)/(2^ν*(Sqrt[Pi]*Gamma[3/2 + ν]))) + StruveH[ν, z], -(z^(1 + ν)/(2^ν*(Sqrt[Pi]*Gamma[3/2 + ν]))) + 
   (2^(-1 - ν)*z^(3 + ν))/(3*Sqrt[Pi]*Gamma[5/2 + ν]) + StruveH[ν, z], -(z^(1 + ν)/(2^ν*(Sqrt[Pi]*Gamma[3/2 + ν]))) + 
   (2^(-1 - ν)*z^(3 + ν))/(3*Sqrt[Pi]*Gamma[5/2 + ν]) - (2^(-2 - ν)*z^(5 + ν))/(15*Sqrt[Pi]*Gamma[7/2 + ν]) + StruveH[ν, z], 
  BesselY[ν, z] - StruveH[ν, z], BesselY[ν, Sqrt[z]] - StruveH[ν, Sqrt[z]], StruveL[ν, z], StruveL[ν, Sqrt[z]], 
  StruveL[ν, z] - Sum1[(2^(-1 - 2*k - ν)*z^(1 + 2*k + ν))/(Gamma[3/2 + k]*Gamma[3/2 + k + ν]), {k, 0, n}], 
  -(z^(1 + ν)/(2^ν*(Sqrt[Pi]*Gamma[3/2 + ν]))) + StruveL[ν, z], -(z^(1 + ν)/(2^ν*(Sqrt[Pi]*Gamma[3/2 + ν]))) - 
   (2^(-1 - ν)*z^(3 + ν))/(3*Sqrt[Pi]*Gamma[5/2 + ν]) + StruveL[ν, z], -(z^(1 + ν)/(2^ν*(Sqrt[Pi]*Gamma[3/2 + ν]))) - 
   (2^(-1 - ν)*z^(3 + ν))/(3*Sqrt[Pi]*Gamma[5/2 + ν]) - (2^(-2 - ν)*z^(5 + ν))/(15*Sqrt[Pi]*Gamma[7/2 + ν]) + StruveL[ν, z], 
  BesselI[ν, z] - StruveL[ν, z], BesselI[ν, Sqrt[z]] - StruveL[ν, Sqrt[z]], EllipticK[z], EllipticK[1 - z], 
  EllipticK[z] - (1/2)*Pi*Sum1[(z^k*Pochhammer[1/2, k]^2)/k!^2, {k, 0, n}], -(Pi/2) + EllipticK[z], 
  (-(1/2))*Pi*(1 + z/4) + EllipticK[z], (-(1/2))*Pi*(1 + z/4 + (9*z^2)/64) + EllipticK[z], EllipticK[1 - z]*UnitStep[1 - Abs[z]], 
  EllipticK[1 - z]*UnitStep[-1 + Abs[z]], EllipticK[(1 - z)/2]*UnitStep[-1 + Abs[z]], EllipticK[(1 - z)/2]*UnitStep[1 - Abs[z]], 
  EllipticK[1/(1 + z)]/Sqrt[1 + z], EllipticK[z/(1 + z)]/Sqrt[1 + z], EllipticK[(4*z)/(1 + z)^2]/(1 + z), 
  EllipticK[-((-1 + z)^2/(4*z))], EllipticK[(1 - z)^2/(1 + z)^2]/(1 + z), EllipticK[1 - 1/z]*UnitStep[-1 + Abs[z]], 
  EllipticK[1 - 1/z]*UnitStep[1 - Abs[z]], EllipticK[(-1 + z)/(2*z)]*UnitStep[-1 + Abs[z]], 
  EllipticK[(-1 + z)/(2*z)]*UnitStep[1 - Abs[z]], EllipticK[-((-1 + z)^2/(4*z))]*UnitStep[1 - Abs[z]], 
  EllipticK[-((-1 + z)^2/(4*z))]*UnitStep[-1 + Abs[z]], (EllipticK[(1 - z)/(1 + z)]*UnitStep[-1 + Abs[z]])/Sqrt[1 + z], 
  (EllipticK[(-1 + z)/(1 + z)]*UnitStep[1 - Abs[z]])/Sqrt[1 + z], (EllipticK[(-1 + z)/(1 + z)]*UnitStep[-1 + Abs[z]])/Sqrt[1 + z], 
  (EllipticK[(1 - z)/(1 + z)]*UnitStep[1 - Abs[z]])/Sqrt[1 + z], (EllipticK[(1 - z)^2/(1 + z)^2]*UnitStep[-1 + Abs[z]])/(1 + z), 
  (EllipticK[(1 - z)^2/(1 + z)^2]*UnitStep[1 - Abs[z]])/(1 + z), (EllipticK[-((4*z)/(-1 + z)^2)]*Sign[1 - Abs[z]])/(1 - z), 
  EllipticK[(1/2)*(1 - Sqrt[1 + z])], EllipticK[(Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], EllipticK[-((-1 + Sqrt[z])^2/(4*Sqrt[z]))], 
  EllipticK[(z - Sqrt[1 + z^2])/(2*z)], EllipticK[-((2*(1 + Sqrt[1 + z]))/z)]/Sqrt[-1 + Sqrt[1 + z]], 
  EllipticK[2/(1 - Sqrt[1 + z])]/Sqrt[-1 + Sqrt[1 + z]], EllipticK[-((2*(1 + Sqrt[1 + z]))/z)]/(Sqrt[1 + z]*Sqrt[-1 + Sqrt[1 + z]]), 
  EllipticK[2/(1 - Sqrt[1 + z])]/(Sqrt[1 + z]*Sqrt[-1 + Sqrt[1 + z]]), EllipticK[(z - Sqrt[1 + z^2])^4]/(z + Sqrt[1 + z^2]), 
  EllipticK[-2*(z + Sqrt[z + z^2])]/Sqrt[-Sqrt[z] + Sqrt[1 + z]], EllipticK[-2*(z + Sqrt[z + z^2])]/
   (Sqrt[1 + z]*Sqrt[-Sqrt[z] + Sqrt[1 + z]]), EllipticK[(Sqrt[z] - Sqrt[1 + z])/(Sqrt[z] + Sqrt[1 + z])]/
   Sqrt[Sqrt[z] + Sqrt[1 + z]], EllipticK[(Sqrt[z] - Sqrt[1 + z])^4]/(Sqrt[z] + Sqrt[1 + z]), 
  EllipticK[1/(Sqrt[z] + Sqrt[1 + z])^4]/(Sqrt[z] + Sqrt[1 + z]), (Sqrt[-Sqrt[z] + Sqrt[1 + z]]*EllipticK[2*(-z + Sqrt[z + z^2])])/
   Sqrt[1 + z], EllipticK[(Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]/Sqrt[1 + z], 
  (Sqrt[-1 + Sqrt[1 + z]]*EllipticK[(2*(-1 + Sqrt[1 + z]))/z])/Sqrt[1 + z], EllipticK[(-Sqrt[z] + Sqrt[1 + z])/(2*Sqrt[1 + z])]/
   (1 + z)^(1/4), EllipticK[-((-Sqrt[z] + Sqrt[1 + z])^2/(4*Sqrt[z]*Sqrt[1 + z]))]/(1 + z)^(1/4), 
  EllipticK[(z - Sqrt[1 + z^2])/(z + Sqrt[1 + z^2])]/Sqrt[z + Sqrt[1 + z^2]], 
  EllipticK[1/(z + Sqrt[1 + z^2])^4]/(z + Sqrt[1 + z^2]), EllipticK[(z - Sqrt[1 + z^2])/(2*z)]/Sqrt[1 + z^2], 
  EllipticK[-((-z + Sqrt[1 + z^2])^2/(4*z*Sqrt[1 + z^2]))]/(1 + z^2)^(1/4), 
  EllipticK[(-Sqrt[z] + Sqrt[1 + z])/(Sqrt[z] + Sqrt[1 + z])]/Sqrt[Sqrt[z] + Sqrt[1 + z]], 
  EllipticK[(-Sqrt[z] + Sqrt[1 + z])/(Sqrt[z] + Sqrt[1 + z])]/(Sqrt[1 + z]*Sqrt[Sqrt[z] + Sqrt[1 + z]]), 
  EllipticK[(-z + Sqrt[1 + z^2])/(z + Sqrt[1 + z^2])]/Sqrt[z + Sqrt[1 + z^2]], EllipticK[(-z + Sqrt[1 + z^2])/(z + Sqrt[1 + z^2])]/
   (Sqrt[1 + z^2]*Sqrt[z + Sqrt[1 + z^2]]), Sqrt[-Sqrt[z] + Sqrt[1 + z]]*EllipticK[2*(-z + Sqrt[z + z^2])], 
  Sqrt[-1 + Sqrt[1 + z]]*EllipticK[(2*(-1 + Sqrt[1 + z]))/z], EllipticK[1/(2*Sqrt[1 + z]*(Sqrt[z] + Sqrt[1 + z]))]/(1 + z)^(1/4), 
  EllipticK[(-z + Sqrt[1 + z^2])/(2*Sqrt[1 + z^2])]/(1 + z^2)^(1/4), EllipticK[1/(2*Sqrt[1 + z^2]*(z + Sqrt[1 + z^2]))]/
   (1 + z^2)^(1/4), (1 + Sqrt[1 + z])*EllipticK[-((4*Sqrt[1 + z])/(1 - Sqrt[1 + z])^2)], 
  (-Sqrt[z] + Sqrt[1 + z])*EllipticK[(Sqrt[z] - Sqrt[1 + z])^4], (Sqrt[z] + Sqrt[1 + z])*
   EllipticK[-((4*Sqrt[z + z^2])/(Sqrt[z] - Sqrt[1 + z])^2)], (-1 + Sqrt[1 + z])*EllipticK[(4*Sqrt[1 + z])/(1 + Sqrt[1 + z])^2], 
  (-Sqrt[z] + Sqrt[1 + z])*EllipticK[(4*Sqrt[z + z^2])/(Sqrt[z] + Sqrt[1 + z])^2], 
  (-Sqrt[z] + Sqrt[1 + z])*EllipticK[1/(Sqrt[z] + Sqrt[1 + z])^4], (-z + Sqrt[1 + z^2])*EllipticK[(z - Sqrt[1 + z^2])^4], 
  (z + Sqrt[1 + z^2])*EllipticK[-((4*z*Sqrt[1 + z^2])/(z - Sqrt[1 + z^2])^2)], 
  (-z + Sqrt[1 + z^2])*EllipticK[(4*z*Sqrt[1 + z^2])/(z + Sqrt[1 + z^2])^2], 
  (-z + Sqrt[1 + z^2])*EllipticK[1/(z + Sqrt[1 + z^2])^4], EllipticK[(4*Sqrt[z])/(1 + Sqrt[z])^2]/(1 + Sqrt[z]), 
  EllipticK[(1 - Sqrt[z])^2/(1 + Sqrt[z])^2]/(1 + Sqrt[z]), EllipticK[z^2/(1 + Sqrt[1 + z])^4]/(1 + Sqrt[1 + z]), 
  EllipticK[(-1 + Sqrt[1 + z])^4/z^2]/(1 + Sqrt[1 + z]), EllipticK[-2*z*(z + Sqrt[1 + z^2])]/Sqrt[-z + Sqrt[1 + z^2]], 
  EllipticK[-2*z*(z + Sqrt[1 + z^2])]/(Sqrt[1 + z^2]*Sqrt[-z + Sqrt[1 + z^2]]), EllipticK[(1/2)*(1 - Sqrt[1 + z])]/Sqrt[1 + z], 
  EllipticK[(-1 + Sqrt[1 + z])/(2*Sqrt[1 + z])]/(1 + z)^(1/4), EllipticK[-((-1 + Sqrt[1 + z])^2/(4*Sqrt[1 + z]))]/(1 + z)^(1/4), 
  (Sqrt[-z + Sqrt[1 + z^2]]*EllipticK[2*z*(-z + Sqrt[1 + z^2])])/Sqrt[1 + z^2], EllipticK[(1 - Sqrt[1 + z])/(1 + Sqrt[1 + z])]/
   Sqrt[1 + Sqrt[1 + z]], EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]/Sqrt[1 + Sqrt[1 + z]], 
  EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]/(Sqrt[1 + z]*Sqrt[1 + Sqrt[1 + z]]), 
  (-1 + Sqrt[1 + z])*EllipticK[z^2/(1 + Sqrt[1 + z])^4], Sqrt[-z + Sqrt[1 + z^2]]*EllipticK[2*z*(-z + Sqrt[1 + z^2])], 
  (-1 + Sqrt[1 + z])*EllipticK[(-1 + Sqrt[1 + z])^4/z^2], EllipticK[z/(2*Sqrt[1 + z]*(1 + Sqrt[1 + z]))]/(1 + z)^(1/4), 
  EllipticK[(1/2)*(1 - Sqrt[z])]*UnitStep[1 - Abs[z]], EllipticK[(-1 + Sqrt[z])/(2*Sqrt[z])]*UnitStep[1 - Abs[z]], 
  (EllipticK[(2*Sqrt[1 - z])/(-1 + Sqrt[1 - z])]*UnitStep[1 - Abs[z]])/Sqrt[1 - Sqrt[1 - z]], 
  (EllipticK[-((4*Sqrt[1 - z])/(-1 + Sqrt[1 - z])^2)]*UnitStep[1 - Abs[z]])/(1 - Sqrt[1 - z]), 
  (EllipticK[(2*Sqrt[1 - z])/(1 + Sqrt[1 - z])]*UnitStep[1 - Abs[z]])/Sqrt[1 + Sqrt[1 - z]], 
  (EllipticK[(4*Sqrt[1 - z])/(1 + Sqrt[1 - z])^2]*UnitStep[1 - Abs[z]])/(1 + Sqrt[1 - z]), 
  (EllipticK[(-1 + Sqrt[z])/(1 + Sqrt[z])]*UnitStep[1 - Abs[z]])/Sqrt[1 + Sqrt[z]], 
  (EllipticK[(1 - Sqrt[z])/(1 + Sqrt[z])]*UnitStep[1 - Abs[z]])/Sqrt[1 + Sqrt[z]], 
  (EllipticK[(1 - Sqrt[z])^2/(1 + Sqrt[z])^2]*UnitStep[1 - Abs[z]])/(1 + Sqrt[z]), 
  (EllipticK[(2*Sqrt[-1 + z])/(Sqrt[-1 + z] - Sqrt[z])]*UnitStep[1 - Abs[z]])/Sqrt[-Sqrt[-1 + z] + Sqrt[z]], 
  (EllipticK[(2*Sqrt[-1 + z])/(Sqrt[-1 + z] + Sqrt[z])]*UnitStep[1 - Abs[z]])/Sqrt[Sqrt[-1 + z] + Sqrt[z]], 
  (EllipticK[(2*Sqrt[-1 + z^2])/(-z + Sqrt[-1 + z^2])]*UnitStep[1 - Abs[z]])/Sqrt[z - Sqrt[-1 + z^2]], 
  (EllipticK[(2*Sqrt[-1 + z^2])/(z + Sqrt[-1 + z^2])]*UnitStep[1 - Abs[z]])/Sqrt[z + Sqrt[-1 + z^2]], 
  Sqrt[1 - Sqrt[1 - z]]*EllipticK[(2*Sqrt[1 - z])/(1 + Sqrt[1 - z])]*UnitStep[1 - Abs[z]], 
  Sqrt[Sqrt[-1 + z] + Sqrt[z]]*EllipticK[(2*Sqrt[-1 + z])/(Sqrt[-1 + z] - Sqrt[z])]*UnitStep[1 - Abs[z]], 
  Sqrt[z + Sqrt[-1 + z^2]]*EllipticK[(2*Sqrt[-1 + z^2])/(-z + Sqrt[-1 + z^2])]*UnitStep[1 - Abs[z]], 
  EllipticK[-((-1 + Sqrt[z])^2/(4*Sqrt[z]))]*UnitStep[1 - Abs[z]], 
  Sqrt[1 - Sqrt[1 - z]]*EllipticK[(2*(1 - Sqrt[1 - z])*Sqrt[1 - z])/z]*UnitStep[1 - Abs[z]], 
  EllipticK[(1/2)*(1 - Sqrt[z])]*UnitStep[-1 + Abs[z]], (EllipticK[(2*Sqrt[1 - z])/(-1 + Sqrt[1 - z])]*UnitStep[-1 + Abs[z]])/
   Sqrt[1 - Sqrt[1 - z]], (EllipticK[-((4*Sqrt[-1 + z]*Sqrt[z])/(Sqrt[-1 + z] - Sqrt[z])^2)]*UnitStep[-1 + Abs[z]])/
   (-Sqrt[-1 + z] + Sqrt[z]), (EllipticK[(2*Sqrt[-1 + z])/(Sqrt[-1 + z] + Sqrt[z])]*UnitStep[-1 + Abs[z]])/
   Sqrt[Sqrt[-1 + z] + Sqrt[z]], (EllipticK[(4*Sqrt[-1 + z]*Sqrt[z])/(Sqrt[-1 + z] + Sqrt[z])^2]*UnitStep[-1 + Abs[z]])/
   (Sqrt[-1 + z] + Sqrt[z]), (EllipticK[(2*Sqrt[-1 + z^2])/(-z + Sqrt[-1 + z^2])]*UnitStep[-1 + Abs[z]])/Sqrt[z - Sqrt[-1 + z^2]], 
  (EllipticK[(2*Sqrt[-1 + z^2])/(z + Sqrt[-1 + z^2])]*UnitStep[-1 + Abs[z]])/Sqrt[z + Sqrt[-1 + z^2]], 
  Sqrt[1 + Sqrt[1 - z]]*EllipticK[(2*Sqrt[1 - z])/(-1 + Sqrt[1 - z])]*UnitStep[-1 + Abs[z]], 
  Sqrt[-Sqrt[-1 + z] + Sqrt[z]]*EllipticK[(2*Sqrt[-1 + z])/(Sqrt[-1 + z] + Sqrt[z])]*UnitStep[-1 + Abs[z]], 
  Sqrt[-Sqrt[-1 + z] + Sqrt[z]]*EllipticK[2*(-Sqrt[-1 + z] + Sqrt[z])*Sqrt[-1 + z]]*UnitStep[-1 + Abs[z]], 
  Sqrt[z - Sqrt[-1 + z^2]]*EllipticK[(2*Sqrt[-1 + z^2])/(z + Sqrt[-1 + z^2])]*UnitStep[-1 + Abs[z]], 
  Sqrt[z - Sqrt[-1 + z^2]]*EllipticK[2*Sqrt[-1 + z^2]*(z - Sqrt[-1 + z^2])]*UnitStep[-1 + Abs[z]], 
  (EllipticK[(2*Sqrt[1 - z])/(1 + Sqrt[1 - z])]*UnitStep[-1 + Abs[z]])/Sqrt[1 + Sqrt[1 - z]], 
  (EllipticK[(-1 + Sqrt[z])/(1 + Sqrt[z])]*UnitStep[-1 + Abs[z]])/Sqrt[1 + Sqrt[z]], 
  (EllipticK[(1 - Sqrt[z])/(1 + Sqrt[z])]*UnitStep[-1 + Abs[z]])/Sqrt[1 + Sqrt[z]], 
  (EllipticK[(1 - Sqrt[z])^2/(1 + Sqrt[z])^2]*UnitStep[-1 + Abs[z]])/(1 + Sqrt[z]), 
  (EllipticK[(2*Sqrt[-1 + z])/(Sqrt[-1 + z] - Sqrt[z])]*UnitStep[-1 + Abs[z]])/Sqrt[-Sqrt[-1 + z] + Sqrt[z]], 
  EllipticK[(-1 + Sqrt[z])/(2*Sqrt[z])]*UnitStep[-1 + Abs[z]], EllipticK[-((-1 + Sqrt[z])^2/(4*Sqrt[z]))]*UnitStep[-1 + Abs[z]], 
  (EllipticK[-((4*Sqrt[z])/(-1 + Sqrt[z])^2)]*Sign[1 - Abs[z]])/(1 - Sqrt[z]), EllipticK[(1/2)*(1 - Sqrt[1 + z])]^2, 
  EllipticK[(-1 + Sqrt[1 + z])^2/z]^2/(1 + Sqrt[1 + z]), EllipticK[(-Sqrt[z] + Sqrt[1 + z])^2]^2/(Sqrt[z] + Sqrt[1 + z]), 
  EllipticK[(-z + Sqrt[1 + z^2])^2]^2/(z + Sqrt[1 + z^2]), EllipticK[(z - Sqrt[1 + z^2])/(2*z)]^2, 
  EllipticK[(Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]^2, EllipticE[z], EllipticE[z]/(1 - z), 
  EllipticE[z] - (1/2)*Pi*Sum1[(z^k*Pochhammer[-(1/2), k]*Pochhammer[1/2, k])/k!^2, {k, 0, n}], -(Pi/2) + EllipticE[z], 
  (-(1/2))*Pi*(1 - z/4) + EllipticE[z], (-(1/2))*Pi*(1 - z/4 - (3*z^2)/64) + EllipticE[z], EllipticE[1 - z]*UnitStep[1 - Abs[z]], 
  EllipticE[1 - z]*UnitStep[-1 + Abs[z]], EllipticE[1/z]/(1 - z), EllipticE[1/(1 + z)]/Sqrt[1 + z], 
  Sqrt[1 + z]*EllipticE[1/(1 + z)], EllipticE[z/(1 + z)]/Sqrt[1 + z], Sqrt[1 + z]*EllipticE[z/(1 + z)], 
  EllipticE[1 - 1/z]*UnitStep[1 - Abs[z]], EllipticE[1 - 1/z]*UnitStep[-1 + Abs[z]], 
  (Sqrt[1 + Sqrt[1 + z]]*EllipticE[(2*(-1 + Sqrt[1 + z]))/z])/Sqrt[1 + z], (Sqrt[-1 + Sqrt[1 + z]]*EllipticE[2/(1 - Sqrt[1 + z])])/
   Sqrt[1 + z], (Sqrt[1 + Sqrt[1 + z]]*EllipticE[2/(1 + Sqrt[1 + z])])/Sqrt[1 + z], 
  (Sqrt[Sqrt[z] + Sqrt[1 + z]]*EllipticE[(2*Sqrt[z])/(Sqrt[z] + Sqrt[1 + z])])/Sqrt[1 + z], 
  (Sqrt[Sqrt[z] + Sqrt[1 + z]]*EllipticE[-2*z + 2*Sqrt[z]*Sqrt[1 + z]])/Sqrt[1 + z], 
  EllipticE[(2*(-1 + Sqrt[1 + z]))/z]/(Sqrt[1 + z]*Sqrt[-1 + Sqrt[1 + z]]), 
  EllipticE[2/(1 + Sqrt[1 + z])]/(Sqrt[1 + z]*Sqrt[-1 + Sqrt[1 + z]]), EllipticE[2/(1 - Sqrt[1 + z])]/
   (Sqrt[1 + z]*Sqrt[1 + Sqrt[1 + z]]), EllipticE[(2*Sqrt[z])/(Sqrt[z] + Sqrt[1 + z])]/(Sqrt[1 + z]*Sqrt[-Sqrt[z] + Sqrt[1 + z]]), 
  EllipticE[-2*z + 2*Sqrt[z]*Sqrt[1 + z]]/(Sqrt[1 + z]*Sqrt[-Sqrt[z] + Sqrt[1 + z]]), 
  (Sqrt[-Sqrt[z] + Sqrt[1 + z]]*EllipticE[(2*Sqrt[z])/(Sqrt[z] - Sqrt[1 + z])])/Sqrt[1 + z], 
  (Sqrt[-z + Sqrt[1 + z^2]]*EllipticE[(2*z)/(z - Sqrt[1 + z^2])])/Sqrt[1 + z^2], 
  (Sqrt[z + Sqrt[1 + z^2]]*EllipticE[(2*z)/(z + Sqrt[1 + z^2])])/Sqrt[1 + z^2], 
  (Sqrt[z + Sqrt[1 + z^2]]*EllipticE[-2*z^2 + 2*z*Sqrt[1 + z^2]])/Sqrt[1 + z^2], EllipticE[(2*Sqrt[z])/(Sqrt[z] - Sqrt[1 + z])]/
   (Sqrt[1 + z]*Sqrt[Sqrt[z] + Sqrt[1 + z]]), EllipticE[(2*z)/(z + Sqrt[1 + z^2])]/(Sqrt[1 + z^2]*Sqrt[-z + Sqrt[1 + z^2]]), 
  EllipticE[-2*z^2 + 2*z*Sqrt[1 + z^2]]/(Sqrt[1 + z^2]*Sqrt[-z + Sqrt[1 + z^2]]), 
  EllipticE[(2*z)/(z - Sqrt[1 + z^2])]/(Sqrt[1 + z^2]*Sqrt[z + Sqrt[1 + z^2]]), 
  (EllipticE[(2*Sqrt[1 - z])/(1 + Sqrt[1 - z])]*UnitStep[1 - Abs[z]])/Sqrt[1 - Sqrt[1 - z]], 
  (EllipticE[(2*(1 - Sqrt[1 - z])*Sqrt[1 - z])/z]*UnitStep[1 - Abs[z]])/Sqrt[1 - Sqrt[1 - z]], 
  (EllipticE[(4*Sqrt[1 - z])/(1 + Sqrt[1 - z])^2]*UnitStep[1 - Abs[z]])/(1 - Sqrt[1 - z]), 
  (EllipticE[(2*Sqrt[1 - z])/(-1 + Sqrt[1 - z])]*UnitStep[1 - Abs[z]])/Sqrt[1 + Sqrt[1 - z]], 
  (EllipticE[-((4*Sqrt[1 - z])/(1 - Sqrt[1 - z])^2)]*UnitStep[1 - Abs[z]])/(1 + Sqrt[1 - z]), 
  (EllipticE[(2*Sqrt[-1 + z])/(Sqrt[-1 + z] + Sqrt[z])]*UnitStep[1 - Abs[z]])/Sqrt[-Sqrt[-1 + z] + Sqrt[z]], 
  (EllipticE[(2*Sqrt[-1 + z])/(Sqrt[-1 + z] - Sqrt[z])]*UnitStep[1 - Abs[z]])/Sqrt[Sqrt[-1 + z] + Sqrt[z]], 
  (EllipticE[(2*Sqrt[-1 + z^2])/(z + Sqrt[-1 + z^2])]*UnitStep[1 - Abs[z]])/Sqrt[z - Sqrt[-1 + z^2]], 
  (EllipticE[(2*Sqrt[-1 + z^2])/(-z + Sqrt[-1 + z^2])]*UnitStep[1 - Abs[z]])/Sqrt[z + Sqrt[-1 + z^2]], 
  (1 - Sqrt[1 - z])*EllipticE[-((4*Sqrt[1 - z])/(1 - Sqrt[1 - z])^2)]*UnitStep[1 - Abs[z]], 
  Sqrt[1 - Sqrt[1 - z]]*EllipticE[(2*Sqrt[1 - z])/(-1 + Sqrt[1 - z])]*UnitStep[1 - Abs[z]], 
  Sqrt[1 + Sqrt[1 - z]]*EllipticE[(2*Sqrt[1 - z])/(1 + Sqrt[1 - z])]*UnitStep[1 - Abs[z]], 
  (1 + Sqrt[1 - z])*EllipticE[(4*Sqrt[1 - z])/(1 + Sqrt[1 - z])^2]*UnitStep[1 - Abs[z]], 
  Sqrt[-Sqrt[-1 + z] + Sqrt[z]]*EllipticE[(2*Sqrt[-1 + z])/(Sqrt[-1 + z] - Sqrt[z])]*UnitStep[1 - Abs[z]], 
  Sqrt[Sqrt[-1 + z] + Sqrt[z]]*EllipticE[(2*Sqrt[-1 + z])/(Sqrt[-1 + z] + Sqrt[z])]*UnitStep[1 - Abs[z]], 
  Sqrt[z - Sqrt[-1 + z^2]]*EllipticE[(2*Sqrt[-1 + z^2])/(-z + Sqrt[-1 + z^2])]*UnitStep[1 - Abs[z]], 
  Sqrt[1 + Sqrt[1 - z]]*EllipticE[(2*(1 - Sqrt[1 - z])*Sqrt[1 - z])/z]*UnitStep[1 - Abs[z]], 
  Sqrt[z + Sqrt[-1 + z^2]]*EllipticE[(2*Sqrt[-1 + z^2])/(z + Sqrt[-1 + z^2])]*UnitStep[1 - Abs[z]], 
  (EllipticE[(2*Sqrt[1 - z])/(-1 + Sqrt[1 - z])]*UnitStep[-1 + Abs[z]])/Sqrt[1 + Sqrt[1 - z]], 
  (EllipticE[-((2*(1 + Sqrt[1 - z])*Sqrt[1 - z])/z)]*UnitStep[-1 + Abs[z]])/Sqrt[1 + Sqrt[1 - z]], 
  (EllipticE[(2*Sqrt[-1 + z])/(Sqrt[-1 + z] + Sqrt[z])]*UnitStep[-1 + Abs[z]])/Sqrt[-Sqrt[-1 + z] + Sqrt[z]], 
  (EllipticE[(4*Sqrt[-1 + z]*Sqrt[z])/(Sqrt[-1 + z] + Sqrt[z])^2]*UnitStep[-1 + Abs[z]])/(-Sqrt[-1 + z] + Sqrt[z]), 
  (EllipticE[-((4*Sqrt[-1 + z]*Sqrt[z])/(-Sqrt[-1 + z] + Sqrt[z])^2)]*UnitStep[-1 + Abs[z]])/(Sqrt[-1 + z] + Sqrt[z]), 
  (EllipticE[(2*Sqrt[-1 + z^2])/(z + Sqrt[-1 + z^2])]*UnitStep[-1 + Abs[z]])/Sqrt[z - Sqrt[-1 + z^2]], 
  (EllipticE[(2*Sqrt[-1 + z^2])/(-z + Sqrt[-1 + z^2])]*UnitStep[-1 + Abs[z]])/Sqrt[z + Sqrt[-1 + z^2]], 
  Sqrt[1 - Sqrt[1 - z]]*EllipticE[(2*Sqrt[1 - z])/(-1 + Sqrt[1 - z])]*UnitStep[-1 + Abs[z]], 
  (-Sqrt[-1 + z] + Sqrt[z])*EllipticE[-((4*Sqrt[-1 + z]*Sqrt[z])/(-Sqrt[-1 + z] + Sqrt[z])^2)]*UnitStep[-1 + Abs[z]], 
  Sqrt[Sqrt[-1 + z] + Sqrt[z]]*EllipticE[(2*Sqrt[-1 + z])/(Sqrt[-1 + z] + Sqrt[z])]*UnitStep[-1 + Abs[z]], 
  (Sqrt[-1 + z] + Sqrt[z])*EllipticE[(4*Sqrt[-1 + z]*Sqrt[z])/(Sqrt[-1 + z] + Sqrt[z])^2]*UnitStep[-1 + Abs[z]], 
  Sqrt[z - Sqrt[-1 + z^2]]*EllipticE[(2*Sqrt[-1 + z^2])/(-z + Sqrt[-1 + z^2])]*UnitStep[-1 + Abs[z]], 
  Sqrt[1 - Sqrt[1 - z]]*EllipticE[-((2*(1 + Sqrt[1 - z])*Sqrt[1 - z])/z)]*UnitStep[-1 + Abs[z]], 
  Sqrt[z + Sqrt[-1 + z^2]]*EllipticE[(2*Sqrt[-1 + z^2])/(z + Sqrt[-1 + z^2])]*UnitStep[-1 + Abs[z]], 
  (EllipticE[(2*Sqrt[1 - z])/(1 + Sqrt[1 - z])]*UnitStep[-1 + Abs[z]])/Sqrt[1 - Sqrt[1 - z]], 
  (EllipticE[(2*(1 - Sqrt[1 - z])*Sqrt[1 - z])/z]*UnitStep[-1 + Abs[z]])/Sqrt[1 - Sqrt[1 - z]], 
  (EllipticE[(2*Sqrt[-1 + z])/(Sqrt[-1 + z] - Sqrt[z])]*UnitStep[-1 + Abs[z]])/Sqrt[Sqrt[-1 + z] + Sqrt[z]], 
  Sqrt[1 + Sqrt[1 - z]]*EllipticE[(2*Sqrt[1 - z])/(1 + Sqrt[1 - z])]*UnitStep[-1 + Abs[z]], 
  Sqrt[-Sqrt[-1 + z] + Sqrt[z]]*EllipticE[(2*Sqrt[-1 + z])/(Sqrt[-1 + z] - Sqrt[z])]*UnitStep[-1 + Abs[z]], 
  Sqrt[1 + Sqrt[1 - z]]*EllipticE[(2*(1 - Sqrt[1 - z])*Sqrt[1 - z])/z]*UnitStep[-1 + Abs[z]], 
  (1/2)*(-1 + Sqrt[z]) + EllipticE[ArcCot[z^(1/4)], 1 - z], -((-1 + Sqrt[z])/(2*Sqrt[z])) + EllipticE[ArcTan[z^(1/4)], 1 - 1/z], 
  EllipticF[ArcTan[z^(1/4)], 1 - 1/z], EllipticF[ArcCot[z^(1/4)], 1 - z], Gamma[a, z], -Gamma[a] + Gamma[a, z], 
  -Gamma[a, -z] + Gamma[a, z], E^((I*a*Pi)/2)*Gamma[a, -z] + Gamma[a, z]/E^((1/2)*I*a*Pi), 
  E^((I*a*Pi)/2)*Gamma[a, -z] - Gamma[a, z]/E^((1/2)*I*a*Pi), Gamma[a, -z]/E^((1/2)*I*a*Pi) + E^((I*a*Pi)/2)*Gamma[a, z], 
  Gamma[a, -z]/E^((1/2)*I*a*Pi) - E^((I*a*Pi)/2)*Gamma[a, z], -Gamma[a, -Sqrt[z]] + Gamma[a, Sqrt[z]], Gamma[a, -z]*Gamma[a, z], 
  -Gamma[a] + Gamma[a, z] + z^a*Sum1[(-z)^k/((a + k)*k!), {k, 0, n}], z^a/a - Gamma[a] + Gamma[a, z], 
  z^a*(1/a - z/(1 + a)) - Gamma[a] + Gamma[a, z], z^a*(1/a - z/(1 + a) + z^2/(2*(2 + a))) - Gamma[a] + Gamma[a, z], E^z*Gamma[a, z], 
  Gamma[a, -z]/E^z + E^z*Gamma[a, z], Gamma[a, -z]/E^z - E^z*Gamma[a, z], E^((I*a*Pi)/2 - z)*Gamma[a, -z] + 
   E^((-(1/2))*I*a*Pi + z)*Gamma[a, z], E^((I*a*Pi)/2 - z)*Gamma[a, -z] - E^((-(1/2))*I*a*Pi + z)*Gamma[a, z], 
  E^((-(1/2))*I*a*Pi - z)*Gamma[a, -z] - E^((I*a*Pi)/2 + z)*Gamma[a, z], E^((-(1/2))*I*a*Pi - z)*Gamma[a, -z] + 
   E^((I*a*Pi)/2 + z)*Gamma[a, z], GammaRegularized[a, z], -1 + GammaRegularized[a, z], 
  E^((I*a*Pi)/2)*GammaRegularized[a, -z] + GammaRegularized[a, z]/E^((1/2)*I*a*Pi), 
  E^((I*a*Pi)/2)*GammaRegularized[a, -z] - GammaRegularized[a, z]/E^((1/2)*I*a*Pi), 
  -GammaRegularized[a, -Sqrt[z]] + GammaRegularized[a, Sqrt[z]], -1 + GammaRegularized[a, z] + 
   (z^a*Sum1[(-z)^k/((a + k)*k!), {k, 0, n}])/Gamma[a], -1 + z^a/(a*Gamma[a]) + GammaRegularized[a, z], 
  -1 + (z^a*(1/a - z/(1 + a)))/Gamma[a] + GammaRegularized[a, z], -1 + (z^a*(1/a - z/(1 + a) + z^2/(2*(2 + a))))/Gamma[a] + 
   GammaRegularized[a, z], E^z*GammaRegularized[a, z], GammaRegularized[a, -z]/E^z + E^z*GammaRegularized[a, z], 
  GammaRegularized[a, -z]/E^z - E^z*GammaRegularized[a, z], E^((I*a*Pi)/2 - z)*GammaRegularized[a, -z] + 
   E^((-(1/2))*I*a*Pi + z)*GammaRegularized[a, z], E^((I*a*Pi)/2 - z)*GammaRegularized[a, -z] - 
   E^((-(1/2))*I*a*Pi + z)*GammaRegularized[a, z], Gamma[a, z]*GammaRegularized[a, -z], Gamma[a, -z]*GammaRegularized[a, z], 
  Gamma[a, 0, z], Gamma[a, 0, Sqrt[z]], Gamma[a, z2] + Gamma[a, z, z2], -Gamma[a, z1] + Gamma[a, z1, z], 
  Gamma[a, 0, z]/z^a - Gamma[b, 0, z]/z^b, Gamma[a, 0, z] - z^a*Sum1[(-z)^k/((a + k)*k!), {k, 0, n}], -(z^a/a) + Gamma[a, 0, z], 
  (-z^a)*(1/a - z/(1 + a)) + Gamma[a, 0, z], (-z^a)*(1/a - z/(1 + a) + z^2/(2*(2 + a))) + Gamma[a, 0, z], E^z*Gamma[a, 0, z], 
  GammaRegularized[a, 0, z], GammaRegularized[a, 0, Sqrt[z]], GammaRegularized[a, z2] + GammaRegularized[a, z, z2], 
  -GammaRegularized[a, z1] + GammaRegularized[a, z1, z], GammaRegularized[a, 0, z] - 
   (z^a*Sum1[(-z)^k/((a + k)*k!), {k, 0, n}])/Gamma[a], -(z^a/(a*Gamma[a])) + GammaRegularized[a, 0, z], 
  -((z^a*(1/a - z/(1 + a)))/Gamma[a]) + GammaRegularized[a, 0, z], -((z^a*(1/a - z/(1 + a) + z^2/(2*(2 + a))))/Gamma[a]) + 
   GammaRegularized[a, 0, z], E^z*GammaRegularized[a, 0, z], GammaRegularized[a, -z]*GammaRegularized[a, z], Log[1 + z], 
  Log[Abs[1 - z]], Log[1 + z] - Sum1[((-1)^k*z^(1 + k))/(1 + k), {k, 0, n}], -z + Log[1 + z], -z + z^2/2 + Log[1 + z], 
  -z + z^2/2 - z^3/3 + Log[1 + z], Log[z], Pi^2 + Log[z]^2, -Pi^4 + Log[z]^4, Pi^6 + Log[z]^6, Log[1/z], Pi^2 + Log[1/z]^2, 
  -Pi^4 + Log[1/z]^4, Pi^6 + Log[1/z]^6, Log[z]/(1 + z), Log[z]^2/(1 + z), Log[z]^4/(1 + z), Log[z]^6/(1 + z), Log[z]^8/(1 + z), 
  Log[1/z]/(1 + z), Log[1/z]^2/(1 + z), Log[1/z]^4/(1 + z), Log[z]/(-1 + z), Log[z]^2/(-1 + z), Log[z]^3/(-1 + z), 
  Log[z]^5/(-1 + z), Log[z]^7/(-1 + z), Log[z]^9/(-1 + z), Log[1/z]/(-1 + z), Log[1/z]^2/(-1 + z), Log[1/z]^3/(-1 + z), 
  Log[1/z]^5/(-1 + z), Log[1 - z]*UnitStep[1 - Abs[z]] + Log[-1 + z]*UnitStep[-1 + Abs[z]], Log[z]*UnitStep[-1 + Abs[z]], 
  Log[z]*UnitStep[1 - Abs[z]], Log[z]/(d + z), Log[z]/(-d + z), Log[1/z]/(d + z), Log[1/z]/(-d + z), Log[1/z]*UnitStep[-1 + Abs[z]], 
  Log[1/z]*UnitStep[1 - Abs[z]], Log[Abs[(1 + z)/(1 - z)]], Log[Abs[(1 - z)/(1 + z)]], Log[Sqrt[z] + Sqrt[1 + z]], 
  Log[-Sqrt[z] + Sqrt[1 + z]], Log[z + Sqrt[1 + z^2]], Log[-z + Sqrt[1 + z^2]], Log[(1/2)*(1 + Sqrt[1 + z^2])], 
  Log[(1/2)*(1 + Sqrt[1 + z])], Log[(z + Sqrt[1 + z^2])/(2*z)], Log[(-1 + Sqrt[1 + z^2])/z], Log[(1 + Sqrt[1 + z^2])/z], 
  Log[-z + Sqrt[1 + z^2]]/Sqrt[1 + z^2], Log[z + Sqrt[1 + z^2]]/Sqrt[1 + z^2], Log[(-1 + Sqrt[1 + z])/Sqrt[z]], 
  Log[(1 + Sqrt[1 + z])/Sqrt[z]], Log[(Sqrt[z] + Sqrt[1 + z])/(2*Sqrt[z])], Log[1/(-z + Sqrt[1 + z^2])], Log[1/(z + Sqrt[1 + z^2])], 
  Log[z/(-1 + Sqrt[1 + z^2])], Log[z/(1 + Sqrt[1 + z^2])], Log[Sqrt[z]/(-1 + Sqrt[1 + z])], Log[Sqrt[z]/(1 + Sqrt[1 + z])], 
  Log[1/(-Sqrt[z] + Sqrt[1 + z])], Log[1/(Sqrt[z] + Sqrt[1 + z])], Log[Sqrt[z] + Sqrt[1 + z]]/Sqrt[1 + z], 
  Log[-Sqrt[z] + Sqrt[1 + z]]/Sqrt[1 + z], Log[(-1 + Sqrt[1 + z^2])/z]/Sqrt[1 + z^2], Log[(1 + Sqrt[1 + z^2])/z]/Sqrt[1 + z^2], 
  Log[(-1 + Sqrt[1 + z])/Sqrt[z]]/Sqrt[1 + z], Log[(1 + Sqrt[1 + z])/Sqrt[z]]/Sqrt[1 + z], 
  Log[z/(-1 + Sqrt[1 + z^2])]/Sqrt[1 + z^2], Log[z/(1 + Sqrt[1 + z^2])]/Sqrt[1 + z^2], Log[Sqrt[z]/(-1 + Sqrt[1 + z])]/Sqrt[1 + z], 
  Log[Sqrt[z]/(1 + Sqrt[1 + z])]/Sqrt[1 + z], Log[1/(-Sqrt[z] + Sqrt[1 + z])]/Sqrt[1 + z], 
  Log[1/(Sqrt[z] + Sqrt[1 + z])]/Sqrt[1 + z], Log[1/(-z + Sqrt[1 + z^2])]/Sqrt[1 + z^2], Log[1/(z + Sqrt[1 + z^2])]/Sqrt[1 + z^2], 
  Log[z - Sqrt[-1 + z^2]]*UnitStep[-1 + Abs[z]], Log[z + Sqrt[-1 + z^2]]*UnitStep[-1 + Abs[z]], 
  Log[-Sqrt[-1 + z] + Sqrt[z]]*UnitStep[-1 + Abs[z]], Log[Sqrt[-1 + z] + Sqrt[z]]*UnitStep[-1 + Abs[z]], 
  Log[(1 + Sqrt[1 - z^2])/z]*UnitStep[1 - Abs[z]], Log[(1 - Sqrt[1 - z^2])/z]*UnitStep[1 - Abs[z]], 
  Log[(1 + Sqrt[1 - z])/Sqrt[z]]*UnitStep[1 - Abs[z]], Log[(1 - Sqrt[1 - z])/Sqrt[z]]*UnitStep[1 - Abs[z]], 
  Log[(1/2)*(1 + Sqrt[1 - z])]*UnitStep[1 - Abs[z]], Log[(1/2)*(1 - Sqrt[1 - z])]*UnitStep[1 - Abs[z]], 
  Log[1 + Sqrt[1 - z]]*UnitStep[1 - Abs[z]], Log[1 - Sqrt[1 - z]]*UnitStep[1 - Abs[z]], 
  Log[(-Sqrt[-1 + z] + Sqrt[z])/Sqrt[z]]*UnitStep[-1 + Abs[z]], Log[(Sqrt[-1 + z] + Sqrt[z])/Sqrt[z]]*UnitStep[-1 + Abs[z]], 
  Log[(1 + z)/((1 - z)*Sign[1 - Abs[z]])], Log[(1 + Sqrt[z])/((1 - Sqrt[z])*Sign[1 - Abs[z]])], Log[-z + Sqrt[1 + z^2]]^2, 
  Log[z + Sqrt[1 + z^2]]^2, Log[-Sqrt[z] + Sqrt[1 + z]]^2, Log[Sqrt[z] + Sqrt[1 + z]]^2, Log[(-1 + Sqrt[1 + z^2])/z]^2, 
  Log[(1 + Sqrt[1 + z^2])/z]^2, Log[(-1 + Sqrt[1 + z])/Sqrt[z]]^2, Log[(1 + Sqrt[1 + z])/Sqrt[z]]^2, 
  Log[Sqrt[z]/(-1 + Sqrt[1 + z])]^2, Log[Sqrt[z]/(1 + Sqrt[1 + z])]^2, Log[1/(Sqrt[z] + Sqrt[1 + z])]^2, 
  Log[1/(-Sqrt[z] + Sqrt[1 + z])]^2, Log[1/(-z + Sqrt[1 + z^2])]^2, Log[1/(z + Sqrt[1 + z^2])]^2, Log[z/(-1 + Sqrt[1 + z^2])]^2, 
  Log[z/(1 + Sqrt[1 + z^2])]^2, Log[z]^2*UnitStep[1 - Abs[z]], Log[z]^2*UnitStep[-1 + Abs[z]], Log[1/z]^2*UnitStep[1 - Abs[z]], 
  Log[1/z]^2*UnitStep[-1 + Abs[z]], Log[z]^3*UnitStep[1 - Abs[z]], Log[z]^3*UnitStep[-1 + Abs[z]], Log[1/z]^3*UnitStep[1 - Abs[z]], 
  Log[1/z]^3*UnitStep[-1 + Abs[z]], Log[z]^4*UnitStep[1 - Abs[z]], Log[z]^4*UnitStep[-1 + Abs[z]], Log[1/z]^4*UnitStep[1 - Abs[z]], 
  Log[1/z]^4*UnitStep[-1 + Abs[z]], 1, z, z^a, 1/(1 - z), -1 + 1/(1 - z), -1 + 1/(1 - z) - z, -1 + 1/(1 - z) - z - z^2, 
  -1 + 1/(1 - z) - z - z^2 - z^3, (1 + z)^a, -1 + (1 + z)^a, -1 - a*z + (1 + z)^a, -1 - a*z - (1/2)*(-1 + a)*a*z^2 + (1 + z)^a, 
  -1 - a*z - (1/2)*(-1 + a)*a*z^2 - (1/6)*(-2 + a)*(-1 + a)*a*z^3 + (1 + z)^a, (1 - z)^(-a), (z^a - z^b)/(-1 + z), Abs[1 - z]^ν, 
  1/(1 - z) - Sum1[z^k, {k, 0, n}], (1 + z)^a - Sum1[z^k*Binomial[a, k], {k, 0, n}], (-1 + Sqrt[1 + z])^β, (1 + Sqrt[1 + z])^β, 
  (1 + Sqrt[1 + z^2])^β, (-1 + Sqrt[1 + z^2])^β, (-Sqrt[z] + Sqrt[1 + z])^β, (Sqrt[z] + Sqrt[1 + z])^β, (-z + Sqrt[1 + z^2])^β, 
  (z + Sqrt[1 + z^2])^β, (-1 + Sqrt[1 + z])^β/Sqrt[1 + z], (1 + Sqrt[1 + z])^β/Sqrt[1 + z], 
  (-Sqrt[z] + Sqrt[1 + z])^β/Sqrt[1 + z], (Sqrt[z] + Sqrt[1 + z])^β/Sqrt[1 + z], (1 + Sqrt[1 + z^2])^β/Sqrt[1 + z^2], 
  (-1 + Sqrt[1 + z^2])^β/Sqrt[1 + z^2], (-z + Sqrt[1 + z^2])^β/Sqrt[1 + z^2], (z + Sqrt[1 + z^2])^β/Sqrt[1 + z^2], 
  (-1 + z)^a*UnitStep[-1 + Abs[z]], (1 - z)^a*UnitStep[1 - Abs[z]], (-(z - Sqrt[-1 + z^2])^β + (z + Sqrt[-1 + z^2])^β)*
   UnitStep[-1 + Abs[z]], (-(1 - Sqrt[1 - z])^β + (1 + Sqrt[1 - z])^β)*UnitStep[1 - Abs[z]], 
  (-(-Sqrt[-1 + z] + Sqrt[1 + z])^β + (Sqrt[-1 + z] + Sqrt[1 + z])^β)*UnitStep[-1 + Abs[z]], 
  (-(-Sqrt[-1 + z] + Sqrt[z])^β + (Sqrt[-1 + z] + Sqrt[z])^β)*UnitStep[-1 + Abs[z]], 
  ((-Sqrt[1 - z] + Sqrt[1 + z])^β - (Sqrt[1 - z] + Sqrt[1 + z])^β)*UnitStep[1 - Abs[z]], 
  (-(1 - Sqrt[1 - z^2])^β + (1 + Sqrt[1 - z^2])^β)*UnitStep[1 - Abs[z]], 
  ((-Sqrt[1 - Sqrt[z]] + Sqrt[1 + Sqrt[z]])^β - (Sqrt[1 - Sqrt[z]] + Sqrt[1 + Sqrt[z]])^β)*UnitStep[1 - Abs[z]], 
  (-(-Sqrt[-1 + Sqrt[z]] + Sqrt[1 + Sqrt[z]])^β + (Sqrt[-1 + Sqrt[z]] + Sqrt[1 + Sqrt[z]])^β)*UnitStep[-1 + Abs[z]], 
  (((1 - Sqrt[1 - z])^β + (1 + Sqrt[1 - z])^β)*UnitStep[1 - Abs[z]])/Sqrt[1 - z], 
  (((-Sqrt[-1 + z] + Sqrt[1 + z])^β + (Sqrt[-1 + z] + Sqrt[1 + z])^β)*UnitStep[-1 + Abs[z]])/Sqrt[-1 + z^2], 
  (((-Sqrt[1 - z] + Sqrt[1 + z])^β + (Sqrt[1 - z] + Sqrt[1 + z])^β)*UnitStep[1 - Abs[z]])/Sqrt[1 - z^2], 
  (((-Sqrt[-1 + z] + Sqrt[z])^β + (Sqrt[-1 + z] + Sqrt[z])^β)*UnitStep[-1 + Abs[z]])/Sqrt[-1 + z], 
  (((z - Sqrt[-1 + z^2])^β + (z + Sqrt[-1 + z^2])^β)*UnitStep[-1 + Abs[z]])/Sqrt[-1 + z^2], 
  (((1 - Sqrt[1 - z^2])^β + (1 + Sqrt[1 - z^2])^β)*UnitStep[1 - Abs[z]])/Sqrt[1 - z^2], 
  (((-Sqrt[1 - Sqrt[z]] + Sqrt[1 + Sqrt[z]])^β + (Sqrt[1 - Sqrt[z]] + Sqrt[1 + Sqrt[z]])^β)*UnitStep[1 - Abs[z]])/Sqrt[1 - z], 
  (((-Sqrt[-1 + Sqrt[z]] + Sqrt[1 + Sqrt[z]])^β + (Sqrt[-1 + Sqrt[z]] + Sqrt[1 + Sqrt[z]])^β)*UnitStep[-1 + Abs[z]])/Sqrt[-1 + z], 
  ((1 - z)*Sign[1 - Abs[z]])^ν, Sign[1 - Abs[z]]*((1 - z)*Sign[1 - Abs[z]])^ν, ArcSin[z], -z + ArcSin[z], -z - z^3/6 + ArcSin[z], 
  -z - z^3/6 - (3*z^5)/40 + ArcSin[z], -z - z^3/6 - (3*z^5)/40 - (5*z^7)/112 + ArcSin[z], -Sqrt[z] + ArcSin[Sqrt[z]], 
  -Sqrt[z] - z^(3/2)/6 + ArcSin[Sqrt[z]], -Sqrt[z] - z^(3/2)/6 - (3*z^(5/2))/40 + ArcSin[Sqrt[z]], 
  -Sqrt[z] - z^(3/2)/6 - (3*z^(5/2))/40 - (5*z^(7/2))/112 + ArcSin[Sqrt[z]], 
  ArcSin[z] - Sum1[(z^(1 + 2*k)*Pochhammer[1/2, k])/((1 + 2*k)*k!), {k, 0, n}], 
  ArcSin[Sqrt[z]] - Sum1[(z^(1/2 + k)*Pochhammer[1/2, k])/((1 + 2*k)*k!), {k, 0, n}], 
  ArcSin[z] - (z*Log[-4*z^2])/(2*Sqrt[-z^2]) + (z*Sum1[Pochhammer[1/2, k]/(z^(2*k)*(k*k!)), {k, 1, n}])/(2*Sqrt[-z^2]), 
  ArcSin[z]/Sqrt[1 - z^2], ArcSin[1/z]/Sqrt[-1 + z^2], ArcSin[1/z]/Sqrt[1 - 1/z^2], ArcSin[Sqrt[z]]/Sqrt[-1 + z], 
  ArcSin[1/Sqrt[z]]/Sqrt[-1 + z], ArcSin[z]^2, ArcSin[Sqrt[z]]^2, ArcSin[z]*UnitStep[1 - Abs[z]], ArcSin[1/z]*UnitStep[-1 + Abs[z]], 
  ArcSin[Sqrt[z]]*UnitStep[1 - Abs[z]], ArcSin[1/Sqrt[z]]*UnitStep[-1 + Abs[z]], ArcSinh[z], -z + ArcSinh[z], 
  -z + z^3/6 + ArcSinh[z], -z + z^3/6 - (3*z^5)/40 + ArcSinh[z], -z + z^3/6 - (3*z^5)/40 + (5*z^7)/112 + ArcSinh[z], 
  -Sqrt[z] + ArcSinh[Sqrt[z]], -Sqrt[z] + z^(3/2)/6 + ArcSinh[Sqrt[z]], -Sqrt[z] + z^(3/2)/6 - (3*z^(5/2))/40 + ArcSinh[Sqrt[z]], 
  -Sqrt[z] + z^(3/2)/6 - (3*z^(5/2))/40 + (5*z^(7/2))/112 + ArcSinh[Sqrt[z]], 
  ArcSinh[z] - Sum1[((-1)^k*z^(1 + 2*k)*Pochhammer[1/2, k])/((1 + 2*k)*k!), {k, 0, n}], 
  ArcSinh[Sqrt[z]] - Sum1[((-1)^k*z^(1/2 + k)*Pochhammer[1/2, k])/((1 + 2*k)*k!), {k, 0, n}], 
  ArcSinh[z] - (z*Log[4*z^2])/(2*Sqrt[z^2]) + (z*Sum1[((-1)^k*Pochhammer[1/2, k])/(z^(2*k)*(k*k!)), {k, 1, n}])/(2*Sqrt[z^2]), 
  ArcSinh[Sqrt[z]] - (1/2)*Log[4*z] + (1/2)*Sum1[((-1)^k*Pochhammer[1/2, k])/(z^k*(k*k!)), {k, 1, n}], ArcSinh[z]/Sqrt[1 + z^2], 
  ArcSinh[1/z]/Sqrt[1 + z^2], ArcSinh[1/z]/Sqrt[1 + 1/z^2], ArcSinh[Sqrt[z]]/Sqrt[1 + z], ArcSinh[1/Sqrt[z]]/Sqrt[1 + z], 
  ArcSinh[z]^2, ArcSinh[Sqrt[z]]^2, -(Pi/2) + ArcCos[z], -(Pi/2) + z + ArcCos[z], -(Pi/2) + z + z^3/6 + ArcCos[z], 
  -(Pi/2) + z + z^3/6 + (3*z^5)/40 + ArcCos[z], -(Pi/2) + z + z^3/6 + (3*z^5)/40 + (5*z^7)/112 + ArcCos[z], 
  -(Pi/2) + Sqrt[z] + ArcCos[Sqrt[z]], -(Pi/2) + Sqrt[z] + z^(3/2)/6 + ArcCos[Sqrt[z]], 
  -(Pi/2) + Sqrt[z] + z^(3/2)/6 + (3*z^(5/2))/40 + ArcCos[Sqrt[z]], -(Pi/2) + Sqrt[z] + z^(3/2)/6 + (3*z^(5/2))/40 + 
   (5*z^(7/2))/112 + ArcCos[Sqrt[z]], -(Pi/2) + ArcCos[z] + Sum1[(z^(1 + 2*k)*Pochhammer[1/2, k])/((1 + 2*k)*k!), {k, 0, n}], 
  -(Pi/2) + ArcCos[Sqrt[z]] + Sum1[(z^(1/2 + k)*Pochhammer[1/2, k])/((1 + 2*k)*k!), {k, 0, n}], 
  -(Pi/2) + ArcCos[z] + (z*Log[-4*z^2])/(2*Sqrt[-z^2]) - (z*Sum1[Pochhammer[1/2, k]/(z^(2*k)*(k*k!)), {k, 1, n}])/(2*Sqrt[-z^2]), 
  ArcCos[-z + Sqrt[1 + z^2]], ArcCos[-Sqrt[z] + Sqrt[1 + z]], ArcCos[(-1 + Sqrt[1 + z^2])/z], ArcCos[(-1 + Sqrt[1 + z])/Sqrt[z]], 
  ArcCos[z/(1 + Sqrt[1 + z^2])], ArcCos[Sqrt[z]/(1 + Sqrt[1 + z])], ArcCos[1/(z + Sqrt[1 + z^2])], 
  ArcCos[1/(Sqrt[z] + Sqrt[1 + z])], -(Pi^2/4) + ArcCos[z]^2, -(Pi^2/4) + ArcCos[Sqrt[z]]^2, ArcCos[z]*UnitStep[1 - Abs[z]], 
  ArcCos[1/z]*UnitStep[-1 + Abs[z]], ArcCos[Sqrt[z]]*UnitStep[1 - Abs[z]], ArcCos[1/Sqrt[z]]*UnitStep[-1 + Abs[z]], 
  ArcCosh[z] - Piecewise[{{(I*Pi)/2, Inequality[0, Less, Arg[z], LessEqual, Pi] || (Element[z, Reals] && 0 < z < 1)}}, -((I*Pi)/2)], 
  ArcCosh[z + Sqrt[1 + z^2]], ArcCosh[Sqrt[z] + Sqrt[1 + z]], ArcCosh[(1 + Sqrt[1 + z^2])/z], ArcCosh[(1 + Sqrt[1 + z])/Sqrt[z]], 
  ArcCosh[z/(-1 + Sqrt[1 + z^2])], ArcCosh[Sqrt[z]/(-1 + Sqrt[1 + z])], ArcCosh[1/(-z + Sqrt[1 + z^2])], 
  ArcCosh[1/(-Sqrt[z] + Sqrt[1 + z])], Pi^2/4 + ArcCosh[z]^2, ArcTan[z], -z + ArcTan[z], -z + z^3/3 + ArcTan[z], 
  -z + z^3/3 - z^5/5 + ArcTan[z], ArcTan[Sqrt[z]], -Sqrt[z] + ArcTan[Sqrt[z]], -Sqrt[z] + z^(3/2)/3 + ArcTan[Sqrt[z]], 
  -Sqrt[z] + z^(3/2)/3 - z^(5/2)/5 + ArcTan[Sqrt[z]], ArcTan[z] - Sum1[((-1)^k*z^(1 + 2*k))/(1 + 2*k), {k, 0, n}], 
  ArcTan[Sqrt[z]] - Sum1[((-1)^k*z^(1/2 + k))/(1 + 2*k), {k, 0, n}], 
  (-(1/4))*Pi*(Sqrt[1/z^2]*z + Sqrt[z^2]/z - Sqrt[1 + I*z]*Sqrt[-(I/(-I + z))] + Sqrt[1 - I/z]*Sqrt[z/(-I + z)] + 
     Sqrt[1 - I*z]*Sqrt[I/(I + z)] - Sqrt[1 + I/z]*Sqrt[z/(I + z)]) + ArcTan[z] + Sum1[((-1)^k*z^(-1 - 2*k))/(1 + 2*k), {k, 0, n}], 
  -((Pi*z)/(2*Sqrt[z^2])) + ArcTan[z] + Sum1[((-1)^k*z^(-1 - 2*k))/(1 + 2*k), {k, 0, n}], ArcTanh[z], -z + ArcTanh[z], 
  -z - z^3/3 + ArcTanh[z], -z - z^3/3 - z^5/5 + ArcTanh[z], ArcTanh[Sqrt[z]], -Sqrt[z] + ArcTanh[Sqrt[z]], 
  -Sqrt[z] - z^(3/2)/3 + ArcTanh[Sqrt[z]], -Sqrt[z] - z^(3/2)/3 - z^(5/2)/5 + ArcTanh[Sqrt[z]], 
  ArcTanh[z] - Sum1[z^(1 + 2*k)/(1 + 2*k), {k, 0, n}], ArcTanh[Sqrt[z]] - Sum1[z^(1/2 + k)/(1 + 2*k), {k, 0, n}], 
  (-(1/4))*Pi*(Sqrt[-(1/z^2)]*z + I*(Sqrt[1/(1 - z)]*Sqrt[1 - z] - Sqrt[1 - 1/z]*Sqrt[z/(-1 + z)] + (I*Sqrt[-z^2])/z + 
       Sqrt[1 + 1/z]*Sqrt[z/(1 + z)] - Sqrt[1/(1 + z)]*Sqrt[1 + z])) + ArcTanh[z] - Sum1[z^(-1 - 2*k)/(1 + 2*k), {k, 0, n}], 
  -((Pi*z)/(2*Sqrt[-z^2])) + ArcTanh[z] - Sum1[z^(-1 - 2*k)/(1 + 2*k), {k, 0, n}], 
  (1/4)*I*Pi*((-Sqrt[1/(1 - z)])*Sqrt[1 - z] + I*Sqrt[-(1/z^2)]*z + Sqrt[1 - 1/z]*Sqrt[z/(-1 + z)] - (I*Sqrt[-z^2])/z - 
     Sqrt[1 + 1/z]*Sqrt[z/(1 + z)] + Sqrt[1/(1 + z)]*Sqrt[1 + z]) + ArcTanh[z] - Sum1[z^(-1 - 2*k)/(1 + 2*k), {k, 0, n}], ArcCot[z], 
  z - (1/2)*Pi*Sqrt[1/z^2]*z + ArcCot[z], z - (1/2)*Pi*Sqrt[1/z^2]*z - z^3/3 + ArcCot[z], 
  z - (1/2)*Pi*Sqrt[1/z^2]*z - z^3/3 + z^5/5 + ArcCot[z], -(Pi/2) + Sqrt[z] + ArcCot[Sqrt[z]], 
  -(Pi/2) + Sqrt[z] - z^(3/2)/3 + ArcCot[Sqrt[z]], -(Pi/2) + Sqrt[z] - z^(3/2)/3 + z^(5/2)/5 + ArcCot[Sqrt[z]], 
  (-(1/2))*Pi*Sqrt[1/z^2]*z + ArcCot[z] + Sum1[((-1)^k*z^(1 + 2*k))/(1 + 2*k), {k, 0, n}], 
  -(Pi/2) + ArcCot[Sqrt[z]] + Sum1[((-1)^k*z^(1/2 + k))/(1 + 2*k), {k, 0, n}], 
  (-(1/4))*Pi*(Sqrt[1/z^2]*z + Sqrt[z^2]/z - Sqrt[1 + I*z]*Sqrt[-(I/(-I + z))] + Sqrt[1 - I/z]*Sqrt[z/(-I + z)] + 
     Sqrt[1 - I*z]*Sqrt[I/(I + z)] - Sqrt[1 + I/z]*Sqrt[z/(I + z)]) + ArcCot[z] + Sum1[((-1)^k*z^(1 + 2*k))/(1 + 2*k), {k, 0, n}], 
  ArcCot[z] - Sum1[((-1)^k*z^(-1 - 2*k))/(1 + 2*k), {k, 0, n}], ArcCoth[z], -((Pi*Sqrt[-z])/(2*Sqrt[z])) - z + ArcCoth[z], 
  -((Pi*Sqrt[-z])/(2*Sqrt[z])) - z - z^3/3 + ArcCoth[z], -((Pi*Sqrt[-z])/(2*Sqrt[z])) - z - z^3/3 - z^5/5 + ArcCoth[z], 
  ArcCoth[Sqrt[z]], -((Pi*Sqrt[-z])/(2*Sqrt[z])) - Sqrt[z] + ArcCoth[Sqrt[z]], -((Pi*Sqrt[-z])/(2*Sqrt[z])) - Sqrt[z] - z^(3/2)/3 + 
   ArcCoth[Sqrt[z]], -((Pi*Sqrt[-z])/(2*Sqrt[z])) - Sqrt[z] - z^(3/2)/3 - z^(5/2)/5 + ArcCoth[Sqrt[z]], 
  -((Pi*Sqrt[-z])/(2*Sqrt[z])) + ArcCoth[z] - Sum1[z^(1 + 2*k)/(1 + 2*k), {k, 0, n}], 
  -((Pi*Sqrt[-z])/(2*Sqrt[z])) + ArcCoth[Sqrt[z]] - Sum1[z^(1/2 + k)/(1 + 2*k), {k, 0, n}], 
  (1/4)*Pi*(Sqrt[-(1/z^2)]*z + I*(Sqrt[1/(1 - z)]*Sqrt[1 - z] - Sqrt[1 - 1/z]*Sqrt[z/(-1 + z)] + (I*Sqrt[-z^2])/z + 
       Sqrt[1 + 1/z]*Sqrt[z/(1 + z)] - Sqrt[1/(1 + z)]*Sqrt[1 + z])) + ArcCoth[z] - Sum1[z^(1 + 2*k)/(1 + 2*k), {k, 0, n}], 
  ArcCoth[z] - Sum1[z^(-1 - 2*k)/(1 + 2*k), {k, 0, n}], ArcCsc[z], ArcCsc[z] + (1/2)*Sqrt[-(1/z^2)]*z*Log[-(4/z^2)], 
  (-(1/4))*Sqrt[-(1/z^2)]*z^3 + ArcCsc[z] + (1/2)*Sqrt[-(1/z^2)]*z*Log[-(4/z^2)], 
  (-(1/2))*Sqrt[-(1/z^2)]*z*(z^2/2 + (3*z^4)/16) + ArcCsc[z] + (1/2)*Sqrt[-(1/z^2)]*z*Log[-(4/z^2)], 
  (-(1/2))*Sqrt[-(1/z^2)]*z*(z^2/2 + (3*z^4)/16 + (5*z^6)/48) + ArcCsc[z] + (1/2)*Sqrt[-(1/z^2)]*z*Log[-(4/z^2)], 
  ArcCsc[Sqrt[z]] + (1/2)*Sqrt[-(1/z)]*Sqrt[z]*Log[-(4/z)], (-(1/4))*Sqrt[-(1/z)]*z^(3/2) + ArcCsc[Sqrt[z]] + 
   (1/2)*Sqrt[-(1/z)]*Sqrt[z]*Log[-(4/z)], (-(1/2))*Sqrt[-(1/z)]*Sqrt[z]*(z/2 + (3*z^2)/16) + ArcCsc[Sqrt[z]] + 
   (1/2)*Sqrt[-(1/z)]*Sqrt[z]*Log[-(4/z)], (-(1/2))*Sqrt[-(1/z)]*Sqrt[z]*(z/2 + (3*z^2)/16 + (5*z^3)/48) + ArcCsc[Sqrt[z]] + 
   (1/2)*Sqrt[-(1/z)]*Sqrt[z]*Log[-(4/z)], ArcCsc[z] + (1/2)*Sqrt[-(1/z^2)]*z*Log[-(4/z^2)] - 
   (1/2)*Sqrt[-(1/z^2)]*z*Sum1[(z^(2*k)*Pochhammer[1/2, k])/(k*k!), {k, 1, n}], 
  ArcCsc[Sqrt[z]] + (1/2)*Sqrt[-(1/z)]*Sqrt[z]*Log[-(4/z)] - (1/2)*Sqrt[-(1/z)]*Sqrt[z]*
    Sum1[(z^k*Pochhammer[1/2, k])/(k*k!), {k, 1, n}], ArcCsc[z] - Sum1[(z^(-1 - 2*k)*Pochhammer[1/2, k])/((1 + 2*k)*k!), {k, 0, n}], 
  ArcCsc[z]/Sqrt[-1 + z^2], ArcCsc[z]/Sqrt[1 - 1/z^2], ArcCsc[1/z]/Sqrt[1 - z^2], ArcCsc[Sqrt[z]]/Sqrt[-1 + z], 
  ArcCsc[1/Sqrt[z]]/Sqrt[-1 + z], ArcCsc[z]^2, ArcCsc[Sqrt[z]]^2, ArcCsc[z]*UnitStep[-1 + Abs[z]], ArcCsc[1/z]*UnitStep[1 - Abs[z]], 
  ArcCsc[Sqrt[z]]*UnitStep[-1 + Abs[z]], ArcCsc[1/Sqrt[z]]*UnitStep[1 - Abs[z]], ArcCsch[z], 
  ArcCsch[z] - Log[4/z^2]/(2*Sqrt[1/z^2]*z), -(z/(4*Sqrt[1/z^2])) + ArcCsch[z] - Log[4/z^2]/(2*Sqrt[1/z^2]*z), 
  (-(z^2/2) + (3*z^4)/16)/(2*Sqrt[1/z^2]*z) + ArcCsch[z] - Log[4/z^2]/(2*Sqrt[1/z^2]*z), 
  (-(z^2/2) + (3*z^4)/16 - (5*z^6)/48)/(2*Sqrt[1/z^2]*z) + ArcCsch[z] - Log[4/z^2]/(2*Sqrt[1/z^2]*z), ArcCsch[Sqrt[z]], 
  ArcCsch[Sqrt[z]] - (1/2)*Sqrt[1/z]*Sqrt[z]*Log[4/z], (-(1/4))*Sqrt[1/z]*z^(3/2) + ArcCsch[Sqrt[z]] - 
   (1/2)*Sqrt[1/z]*Sqrt[z]*Log[4/z], (1/2)*Sqrt[1/z]*Sqrt[z]*(-(z/2) + (3*z^2)/16) + ArcCsch[Sqrt[z]] - 
   (1/2)*Sqrt[1/z]*Sqrt[z]*Log[4/z], (1/2)*Sqrt[1/z]*Sqrt[z]*(-(z/2) + (3*z^2)/16 - (5*z^3)/48) + ArcCsch[Sqrt[z]] - 
   (1/2)*Sqrt[1/z]*Sqrt[z]*Log[4/z], ArcCsch[z] - Log[4/z^2]/(2*Sqrt[1/z^2]*z) + 
   Sum1[((-1)^k*z^(2*k)*Pochhammer[1/2, k])/(k*k!), {k, 1, n}]/(2*Sqrt[1/z^2]*z), 
  ArcCsch[Sqrt[z]] - (1/2)*Sqrt[1/z]*Sqrt[z]*Log[4/z] + (1/2)*Sqrt[1/z]*Sqrt[z]*Sum1[((-1)^k*z^k*Pochhammer[1/2, k])/(k*k!), 
     {k, 1, n}], ArcCsch[z] - Sum1[((-1)^k*z^(-1 - 2*k)*Pochhammer[1/2, k])/((1 + 2*k)*k!), {k, 0, n}], ArcCsch[z]/Sqrt[1 + z^2], 
  ArcCsch[z]/Sqrt[1 + 1/z^2], ArcCsch[1/z]/Sqrt[1 + z^2], ArcCsch[Sqrt[z]]/Sqrt[1 + z], ArcCsch[Sqrt[z]]/Sqrt[1 + 1/z], 
  ArcCsch[1/Sqrt[z]]/Sqrt[1 + z], ArcCsch[z]^2, ArcCsch[Sqrt[z]]^2, -(Pi/2) + ArcSec[z], 
  -(Pi/2) + ArcSec[z] + Log[-(4/z^2)]/(2*Sqrt[-(1/z^2)]*z), -(Pi/2) - z/(4*Sqrt[-(1/z^2)]) + ArcSec[z] + 
   Log[-(4/z^2)]/(2*Sqrt[-(1/z^2)]*z), -(Pi/2) - (z^2/2 + (3*z^4)/16)/(2*Sqrt[-(1/z^2)]*z) + ArcSec[z] + 
   Log[-(4/z^2)]/(2*Sqrt[-(1/z^2)]*z), -(Pi/2) - (z^2/2 + (3*z^4)/16 + (5*z^6)/48)/(2*Sqrt[-(1/z^2)]*z) + ArcSec[z] + 
   Log[-(4/z^2)]/(2*Sqrt[-(1/z^2)]*z), -(Pi/2) + ArcSec[Sqrt[z]], -(Pi/2) + ArcSec[Sqrt[z]] + 
   (Sqrt[1/z]*Log[-(4/z)])/(2*Sqrt[-(1/z)]), -(Pi/2) - 1/(4*Sqrt[-(1/z)]*Sqrt[1/z]) + ArcSec[Sqrt[z]] + 
   (Sqrt[1/z]*Log[-(4/z)])/(2*Sqrt[-(1/z)]), -(Pi/2) - (Sqrt[1/z]*(z/2 + (3*z^2)/16))/(2*Sqrt[-(1/z)]) + ArcSec[Sqrt[z]] + 
   (Sqrt[1/z]*Log[-(4/z)])/(2*Sqrt[-(1/z)]), -(Pi/2) - (Sqrt[1/z]*(z/2 + (3*z^2)/16 + (5*z^3)/48))/(2*Sqrt[-(1/z)]) + 
   ArcSec[Sqrt[z]] + (Sqrt[1/z]*Log[-(4/z)])/(2*Sqrt[-(1/z)]), -(Pi/2) + ArcSec[z] + Log[-(4/z^2)]/(2*Sqrt[-(1/z^2)]*z) - 
   Sum1[(z^(2*k)*Pochhammer[1/2, k])/(k*k!), {k, 1, n}]/(2*Sqrt[-(1/z^2)]*z), 
  -(Pi/2) + ArcSec[Sqrt[z]] + (Sqrt[1/z]*Log[-(4/z)])/(2*Sqrt[-(1/z)]) - 
   (Sqrt[1/z]*Sum1[(z^k*Pochhammer[1/2, k])/(k*k!), {k, 1, n}])/(2*Sqrt[-(1/z)]), 
  -(Pi/2) + ArcSec[z] + Sum1[(z^(-1 - 2*k)*Pochhammer[1/2, k])/((1 + 2*k)*k!), {k, 0, n}], ArcSec[Sqrt[z]]/Sqrt[-1 + z], 
  ArcSec[z + Sqrt[1 + z^2]], ArcSec[Sqrt[z] + Sqrt[1 + z]], ArcSec[(1 + Sqrt[1 + z^2])/z], ArcSec[(1 + Sqrt[1 + z])/Sqrt[z]], 
  ArcSec[z/(-1 + Sqrt[1 + z^2])], ArcSec[Sqrt[z]/(-1 + Sqrt[1 + z])], ArcSec[1/(-z + Sqrt[1 + z^2])], 
  ArcSec[1/(-Sqrt[z] + Sqrt[1 + z])], -(Pi^2/4) + ArcSec[z]^2, -(Pi^2/4) + ArcSec[Sqrt[z]]^2, ArcSec[z]*UnitStep[-1 + Abs[z]], 
  ArcSec[1/z]*UnitStep[1 - Abs[z]], ArcSec[Sqrt[z]]*UnitStep[-1 + Abs[z]], ArcSec[1/Sqrt[z]]*UnitStep[1 - Abs[z]], 
  (1/2)*Pi*Sqrt[-(1/z^2)]*z + ArcSech[z] - (1/2)*Log[-(4/z^2)] + (1/2)*Sum1[(z^(2*k)*Pochhammer[1/2, k])/(k*k!), {k, 1, n}], 
  Pi^2/4 + ArcSech[z]^2, Pi^2/4 + ArcSech[Sqrt[z]]^2, ArcSech[-z + Sqrt[1 + z^2]], ArcSech[-Sqrt[z] + Sqrt[1 + z]], 
  ArcSech[(-1 + Sqrt[1 + z^2])/z], ArcSech[(-1 + Sqrt[1 + z])/Sqrt[z]], ArcSech[z/(1 + Sqrt[1 + z^2])], 
  ArcSech[Sqrt[z]/(1 + Sqrt[1 + z])], ArcSech[1/(z + Sqrt[1 + z^2])], ArcSech[1/(Sqrt[z] + Sqrt[1 + z])], E^(-z), E^(-Sqrt[z]), 
  E^(-z^(1/3)), E^(-z^(1/4)), E^(-z^q), -1 + E^(-z), -1 + E^(-z) + z, E^(-z) - Sum1[(-z)^k/k!, {k, 0, n}], E^z, E^Sqrt[z], 
  E^z^(1/3), E^z^(1/4), -1 + E^z, -1 + E^z - z, E^z - Sum1[z^k/k!, {k, 0, n}], Sin[z], Sin[a + z], Sin[a + Sqrt[z]], 
  (1 + z^2)^(ν/2)*Sin[ν*ArcTan[z]], (1 + z^2)^(ν/2)*Sin[ν*ArcCot[z]], (1 + z)^(ν/2)*Sin[ν*ArcTan[Sqrt[z]]], 
  (1 + z)^(ν/2)*Sin[ν*ArcCot[Sqrt[z]]], Sin[Sqrt[z]], -(1/2) + Sin[Sqrt[z]]^2, Sin[Sqrt[z]]^3, -(3/8) + Sin[Sqrt[z]]^4, 
  Sin[Sqrt[z]]^5, -(5/16) + Sin[Sqrt[z]]^6, Sin[Sqrt[z]]^7, (-2^(-1 - n))*(1 + (-1)^n)*Binomial[n, n/2] + Sin[Sqrt[z]]^n, Sin[z]^2, 
  -(1/2) + Sin[z]^2, Sin[z]^3, -(3/8) + Sin[z]^4, Sin[z]^5, -(5/16) + Sin[z]^6, Sin[z]^7, 
  (-2^(-1 - n))*(1 + (-1)^n)*Binomial[n, n/2] + Sin[z]^n, 
  Sin[z]^m - 2^(1 - m)*Sum1[((-1)^j*z^(2*j + m)*Sum1[(-1)^k*(-2*k + m)^(2*j + m)*Binomial[m, k], {k, 0, Floor[(1/2)*(-1 + m)]}])/
      (2*j + m)!, {j, 0, n}], -z + z^3/6 + Sin[z], -z + z^3/6 - z^5/120 + Sin[z], -z + z^3/6 - z^5/120 + z^7/5040 + Sin[z], 
  (1/2)*(-2*z^2 + (2*z^4)/3) + Sin[z]^2, (1/2)*(-2*z^2 + (2*z^4)/3 - (4*z^6)/45) + Sin[z]^2, 
  (1/2)*(-2*z^2 + (2*z^4)/3 - (4*z^6)/45 + (2*z^8)/315) + Sin[z]^2, (1/4)*(-4*z^3 + 2*z^5) + Sin[z]^3, 
  (1/4)*(-4*z^3 + 2*z^5 - (13*z^7)/30) + Sin[z]^3, (1/4)*(-4*z^3 + 2*z^5 - (13*z^7)/30 + (41*z^9)/756) + Sin[z]^3, 
  -1 + z^2/2 + Cos[z], -1 + z^2/2 - z^4/24 + Cos[z], -1 + z^2/2 - z^4/24 + z^6/720 + Cos[z], -1 + z^2 + Cos[z]^2, 
  -1 + (1/2)*(2*z^2 - (2*z^4)/3) + Cos[z]^2, -1 + (1/2)*(2*z^2 - (2*z^4)/3 + (4*z^6)/45) + Cos[z]^2, -1 + (3*z^2)/2 + Cos[z]^3, 
  -1 + (1/4)*(6*z^2 - (7*z^4)/2) + Cos[z]^3, -1 + (1/4)*(6*z^2 - (7*z^4)/2 + (61*z^6)/60) + Cos[z]^3, -z - z^3/6 + Sinh[z], 
  -z - z^3/6 - z^5/120 + Sinh[z], -z - z^3/6 - z^5/120 - z^7/5040 + Sinh[z], (1/2)*(-2*z^2 - (2*z^4)/3) + Sinh[z]^2, 
  (1/2)*(-2*z^2 - (2*z^4)/3 - (4*z^6)/45) + Sinh[z]^2, (1/2)*(-2*z^2 - (2*z^4)/3 - (4*z^6)/45 - (2*z^8)/315) + Sinh[z]^2, 
  (1/4)*(-4*z^3 - 2*z^5) + Sinh[z]^3, (1/4)*(-4*z^3 - 2*z^5 - (13*z^7)/30) + Sinh[z]^3, 
  (1/4)*(-4*z^3 - 2*z^5 - (13*z^7)/30 - (41*z^9)/756) + Sinh[z]^3, -1 - z^2/2 + Cosh[z], -1 - z^2/2 - z^4/24 + Cosh[z], 
  -1 - z^2/2 - z^4/24 - z^6/720 + Cosh[z], -1 - z^2 + Cosh[z]^2, -1 + (1/2)*(-2*z^2 - (2*z^4)/3) + Cosh[z]^2, 
  -1 + (1/2)*(-2*z^2 - (2*z^4)/3 - (4*z^6)/45) + Cosh[z]^2, -1 - (3*z^2)/2 + Cosh[z]^3, -1 + (1/4)*(-6*z^2 - (7*z^4)/2) + Cosh[z]^3, 
  -1 + (1/4)*(-6*z^2 - (7*z^4)/2 - (61*z^6)/60) + Cosh[z]^3, Sin[ν*ArcCos[z]]*UnitStep[1 - Abs[z]], 
  Sin[ν*ArcCos[Sqrt[z]]]*UnitStep[1 - Abs[z]], Sin[ν*ArcSec[z]]*UnitStep[-1 + Abs[z]], 
  Sin[ν*ArcSec[Sqrt[z]]]*UnitStep[-1 + Abs[z]], Sinh[z], Sinh[a + z], Sinh[ν*ArcSinh[z]], Sinh[ν*ArcCsch[z]], 
  Sinh[ν*ArcSinh[Sqrt[z]]], Sinh[ν*ArcCsch[Sqrt[z]]], Sinh[ν*ArcSinh[z]]/Sqrt[1 + z^2], Sinh[ν*ArcCsch[z]]/Sqrt[1 + z^2], 
  Sinh[ν*ArcSinh[Sqrt[z]]]/Sqrt[1 + z], Sinh[ν*ArcCsch[Sqrt[z]]]/Sqrt[1 + z], Abs[1 - z]^ν*Sinh[ν*ArcCoth[(1 + z)/(2*Sqrt[z])]], 
  Abs[1 - z^2]^ν*Sinh[ν*ArcCoth[(1 + z^2)/(2*z)]], Abs[1 - z^2]^ν*Sinh[ν*ArcTanh[(2*z)/(1 + z^2)]], 
  Abs[1 - z]^ν*Sinh[ν*ArcTanh[(2*Sqrt[z])/(1 + z)]], Sinh[Sqrt[z]], 1/2 + Sinh[Sqrt[z]]^2, Sinh[Sqrt[z]]^3, 
  -(3/8) + Sinh[Sqrt[z]]^4, Sinh[Sqrt[z]]^5, 5/16 + Sinh[Sqrt[z]]^6, Sinh[Sqrt[z]]^7, 
  (-I^n)*2^(-1 - n)*(1 + (-1)^n)*Binomial[n, n/2] + Sinh[Sqrt[z]]^n, Sinh[z]^2, 1/2 + Sinh[z]^2, Sinh[z]^3, -(3/8) + Sinh[z]^4, 
  Sinh[z]^5, 5/16 + Sinh[z]^6, Sinh[z]^7, (-I^n)*2^(-1 - n)*(1 + (-1)^n)*Binomial[n, n/2] + Sinh[z]^n, 
  Sinh[z]^m - 2^(1 - m)*Sum1[(z^(2*j + m)*Sum1[(-1)^k*(-2*k + m)^(2*j + m)*Binomial[m, k], {k, 0, Floor[(1/2)*(-1 + m)]}])/
      (2*j + m)!, {j, 0, n}], ((1 - z)*Sign[1 - Abs[z]])^ν*Sinh[ν*ArcCoth[(1 + z)/(2*Sqrt[z])]], 
  ((1 - z^2)*Sign[1 - Abs[z]])^ν*Sinh[ν*ArcCoth[(1 + z^2)/(2*z)]], ((1 - z)*Sign[1 - Abs[z]])^ν*
   Sinh[ν*ArcTanh[(2*Sqrt[z])/(1 + z)]], ((1 - z^2)*Sign[1 - Abs[z]])^ν*Sinh[ν*ArcTanh[(2*z)/(1 + z^2)]], 
  Sinh[ν*ArcSech[Sqrt[z]]]*UnitStep[1 - Abs[z]], Sinh[ν*ArcTanh[Sqrt[1 - 1/z]]]*UnitStep[-1 + Abs[z]], 
  Sinh[ν*ArcTanh[Sqrt[1 - z]]]*UnitStep[1 - Abs[z]], Sinh[ν*ArcTanh[Sqrt[-1 + z^2]/z]]*UnitStep[-1 + Abs[z]], 
  Sinh[ν*ArcCosh[Sqrt[z]]]*UnitStep[-1 + Abs[z]], Sinh[ν*ArcCosh[z]]*UnitStep[-1 + Abs[z]], 
  Sinh[ν*ArcSech[z]]*UnitStep[1 - Abs[z]], Cos[z], Cos[a + Sqrt[z]], Cos[a + z], (1 + z)^(ν/2)*Cos[ν*ArcCot[Sqrt[z]]], 
  (1 + z^2)^(ν/2)*Cos[ν*ArcCot[z]], (1 + z)^(ν/2)*Cos[ν*ArcTan[Sqrt[z]]], (1 + z^2)^(ν/2)*Cos[ν*ArcTan[z]], Cos[Sqrt[z]], 
  -(1/2) + Cos[Sqrt[z]]^2, Cos[Sqrt[z]]^3, -(3/8) + Cos[Sqrt[z]]^4, Cos[Sqrt[z]]^5, -(5/16) + Cos[Sqrt[z]]^6, Cos[Sqrt[z]]^7, 
  (-2^(-1 - n))*(1 + (-1)^n)*Binomial[n, n/2] + Cos[Sqrt[z]]^n, -(1/2) + Cos[z]^2, Cos[z]^3, -(3/8) + Cos[z]^4, Cos[z]^5, 
  -(5/16) + Cos[z]^6, Cos[z]^7, (-2^(-1 - n))*(1 + (-1)^n)*Binomial[n, n/2] + Cos[z]^n, -1 + Cos[z], -1 + Cos[z]^2, -1 + Cos[z]^4, 
  -1 + Cos[z]^6, -1 + Cos[Sqrt[z]]^2, -1 + Cos[Sqrt[z]]^4, -1 + Cos[Sqrt[z]]^6, -1 + Cos[z]^n, 
  -1 + Cos[z]^m - 2^(1 - m)*Sum1[((-1)^j*z^(2*j)*Sum1[(-2*k + m)^(2*j)*Binomial[m, k], {k, 0, Floor[(1/2)*(-1 + m)]}])/(2*j)!, 
     {j, 1, n}], (Cos[ν*ArcSec[Sqrt[z]]]*UnitStep[-1 + Abs[z]])/Sqrt[-1 + z], (Cos[ν*ArcCos[z]]*UnitStep[1 - Abs[z]])/
   Sqrt[1 - z^2], (Cos[ν*ArcCos[Sqrt[z]]]*UnitStep[1 - Abs[z]])/Sqrt[1 - z], (Cos[ν*ArcSec[z]]*UnitStep[-1 + Abs[z]])/
   Sqrt[-1 + z^2], Cosh[z], Cosh[a + z], Cosh[Sqrt[z]], Cosh[ν*ArcSinh[z]], Cosh[ν*ArcCsch[z]], Cosh[ν*ArcSinh[Sqrt[z]]], 
  Cosh[ν*ArcCsch[Sqrt[z]]], Cosh[ν*ArcCsch[z]]/Sqrt[1 + z^2], Cosh[ν*ArcSinh[z]]/Sqrt[1 + z^2], 
  Cosh[ν*ArcSinh[Sqrt[z]]]/Sqrt[1 + z], Abs[1 - z^2]^ν*Cosh[ν*ArcCoth[(1 + z^2)/(2*z)]], 
  Abs[1 - z]^ν*Cosh[ν*ArcTanh[(2*Sqrt[z])/(1 + z)]], Abs[1 - z^2]^ν*Cosh[ν*ArcTanh[(2*z)/(1 + z^2)]], 
  Abs[1 - z]^ν*Cosh[ν*ArcCoth[(1 + z)/(2*Sqrt[z])]], -(1/2) + Cosh[Sqrt[z]]^2, Cosh[Sqrt[z]]^3, -(3/8) + Cosh[Sqrt[z]]^4, 
  Cosh[Sqrt[z]]^5, (-2^(-1 - n))*(1 + (-1)^n)*Binomial[n, n/2] + Cosh[Sqrt[z]]^n, -(1/2) + Cosh[z]^2, Cosh[z]^3, -(3/8) + Cosh[z]^4, 
  Cosh[z]^5, (-2^(-1 - n))*(1 + (-1)^n)*Binomial[n, n/2] + Cosh[z]^n, -1 + Cosh[z], -1 + Cosh[z]^2, -1 + Cosh[z]^4, -1 + Cosh[z]^6, 
  -1 + Cosh[Sqrt[z]]^2, -1 + Cosh[Sqrt[z]]^4, -1 + Cosh[Sqrt[z]]^6, -1 + Cosh[z]^n, 
  -1 + Cosh[z]^m - 2^(1 - m)*Sum1[(z^(2*j)*Sum1[(-2*k + m)^(2*j)*Binomial[m, k], {k, 0, Floor[(1/2)*(-1 + m)]}])/(2*j)!, {j, 1, n}], 
  (Cosh[ν*ArcCosh[z]]*UnitStep[-1 + Abs[z]])/Sqrt[-1 + z^2], (Cosh[ν*ArcSech[Sqrt[z]]]*UnitStep[1 - Abs[z]])/Sqrt[1 - z], 
  (Cosh[ν*ArcTanh[Sqrt[1 - 1/z]]]*UnitStep[-1 + Abs[z]])/Sqrt[-1 + z], (Cosh[ν*ArcTanh[Sqrt[-1 + z^2]/z]]*UnitStep[-1 + Abs[z]])/
   Sqrt[-1 + z^2], (Cosh[ν*ArcTanh[Sqrt[1 - z]]]*UnitStep[1 - Abs[z]])/Sqrt[1 - z], 
  (Cosh[ν*ArcCosh[Sqrt[z]]]*UnitStep[-1 + Abs[z]])/Sqrt[-1 + z], (Cosh[ν*ArcSech[z]]*UnitStep[1 - Abs[z]])/Sqrt[1 - z^2], 
  Cosh[ν*ArcCoth[(1 + z^2)/(2*z)]]*((1 - z^2)*Sign[1 - Abs[z]])^ν, Cosh[ν*ArcTanh[(2*z)/(1 + z^2)]]*
   ((1 - z^2)*Sign[1 - Abs[z]])^ν, Cosh[ν*ArcCoth[(1 + z)/(2*Sqrt[z])]]*((1 - z)*Sign[1 - Abs[z]])^ν, 
  Cosh[ν*ArcTanh[(2*Sqrt[z])/(1 + z)]]*((1 - z)*Sign[1 - Abs[z]])^ν, Sin[z]/E^(Sqrt[1 + 2/Sqrt[5]]*z), Sin[z]/E^(z/Sqrt[3]), 
  Sin[z]/E^z, Sin[z]/E^(Sqrt[3]*z), Sin[Sqrt[3]*z]/E^z, Sin[z/Sqrt[3]]/E^z, Sin[z^(1/3)]/E^(z^(1/3)/Sqrt[3]), 
  Sin[z^(1/4)]/E^z^(1/4), Sin[z^(1/6)]/E^(Sqrt[3]*z^(1/6)), Sinh[z]/E^z, E^z*Sinh[z], Cos[z]/E^(Sqrt[1 + 2/Sqrt[5]]*z), 
  E^((-1 - Sqrt[2])*z)*Cos[z], Cos[z]/E^(z/Sqrt[3]), Cos[z]/E^z, Cos[z]/E^(Sqrt[3]*z), Cos[Sqrt[3]*z]/E^z, Cos[z/Sqrt[3]]/E^z, 
  Cos[z^(1/3)]/E^(z^(1/3)/Sqrt[3]), Cos[z^(1/4)]/E^z^(1/4), Cos[z^(1/6)]/E^(Sqrt[3]*z^(1/6)), Cosh[z]/E^z, E^z*Cosh[z], 
  Cos[z]*Sinh[z], Cos[z^(1/4)]*Sinh[z^(1/4)], Cos[z]*Cosh[z], Cosh[z]*Sin[z], Cosh[z^(1/4)]*Sin[z^(1/4)], Sin[z]*Sinh[z], 
  Sin[z^(1/4)]*Sinh[z^(1/4)], Haversine[z], (-2^(-1 - n))*(1 + (-1)^n)*Binomial[n, n/2] + Haversine[z]^(n/2), InverseHaversine[z], 
  InverseHaversine[z]^2, BesselJ[ν, z], BesselJ[-ν, z] + BesselJ[ν, z], BesselJ[-ν, z] - BesselJ[ν, z], BesselJ[ν, Sqrt[z]], 
  BesselJ[-ν, Sqrt[z]] - BesselJ[ν, Sqrt[z]], BesselJ[-ν, Sqrt[z]] + BesselJ[ν, Sqrt[z]], 
  BesselJ[ν, z] - z^ν*Sum1[((-1)^k*4^(-k - ν/2)*z^(2*k))/(k!*Gamma[1 + k + ν]), {k, 0, n}], 
  BesselJ[ν, z] - z^ν/(2^ν*Gamma[1 + ν]), BesselJ[ν, z] - z^ν/(2^ν*Gamma[1 + ν]) + (4^(-1 - ν/2)*z^(2 + ν))/Gamma[2 + ν], 
  BesselJ[ν, z] - z^ν/(2^ν*Gamma[1 + ν]) + (4^(-1 - ν/2)*z^(2 + ν))/Gamma[2 + ν] - (2^(-5 - ν)*z^(4 + ν))/Gamma[3 + ν], 
  BesselJ[ν, z]^2, BesselJ[-ν, z]^2 - BesselJ[ν, z]^2, BesselJ[-ν, z]^2 + BesselJ[ν, z]^2, BesselJ[ν, Sqrt[z]]^2, 
  BesselJ[-ν, Sqrt[z]]^2 - BesselJ[ν, Sqrt[z]]^2, BesselJ[-ν, Sqrt[z]]^2 + BesselJ[ν, Sqrt[z]]^2, BesselJ[μ, z]*BesselJ[ν, z], 
  BesselJ[-1 + ν, z]*BesselJ[ν, z], BesselJ[-ν, z]*BesselJ[ν, z], BesselJ[-2 - ν, z]*BesselJ[ν, z] - 
   (4*(1 + ν)*Sin[Pi*ν])/(Pi*z^2), BesselJ[-1 - ν, z]*BesselJ[ν, z] + (2*Sin[Pi*ν])/(Pi*z), 
  BesselJ[-1 - n - ν, z]*BesselJ[ν, z] - 
   (2*Sum1[((-1)^(k + Floor[(1 + n)/2])*z^(-1 + 2*k - n)*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], 
         n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  BesselJ[-μ, z]*BesselJ[-ν, z] + BesselJ[μ, z]*BesselJ[ν, z], (-BesselJ[-μ, z])*BesselJ[-ν, z] + 
   BesselJ[μ, z]*BesselJ[ν, z], BesselJ[μ, z]*BesselJ[ν, z] - 2^(-μ - ν)*z^(μ + ν)*Gamma[1 + μ + ν]*
    Sum1[((-z^2)^k*Pochhammer[(1/2)*(1 + μ + ν), k]*Pochhammer[(1/2)*(2 + μ + ν), k])/(k!*Gamma[1 + k + μ]*Gamma[1 + k + ν]*
       Gamma[1 + k + μ + ν]), {k, 0, n}], BesselJ[μ, z]*BesselJ[ν, z] - 
   (2^(-μ - ν)*z^(μ + ν))/(Gamma[1 + μ]*Gamma[1 + ν]), BesselJ[μ, z]*BesselJ[ν, z] - 
   2^(-μ - ν)*z^(μ + ν)*Gamma[1 + μ + ν]*(1/(Gamma[1 + μ]*Gamma[1 + ν]*Gamma[1 + μ + ν]) - 
     (z^2*(1 + μ + ν)*(2 + μ + ν))/(4*Gamma[2 + μ]*Gamma[2 + ν]*Gamma[2 + μ + ν])), 
  BesselJ[μ, z]*BesselJ[ν, z] - 2^(-μ - ν)*z^(μ + ν)*Gamma[1 + μ + ν]*(1/(Gamma[1 + μ]*Gamma[1 + ν]*Gamma[1 + μ + ν]) - 
     (z^2*(1 + μ + ν)*(2 + μ + ν))/(4*Gamma[2 + μ]*Gamma[2 + ν]*Gamma[2 + μ + ν]) + 
     (z^4*(1 + μ + ν)*(2 + μ + ν)*(1 + (1/2)*(1 + μ + ν))*(1 + (1/2)*(2 + μ + ν)))/
      (8*Gamma[3 + μ]*Gamma[3 + ν]*Gamma[3 + μ + ν])), BesselJ[-2 - ν, Sqrt[z]]*BesselJ[ν, Sqrt[z]] - 
   (4*(1 + ν)*Sin[Pi*ν])/(Pi*z), BesselJ[-1 - ν, Sqrt[z]]*BesselJ[ν, Sqrt[z]] + (2*Sin[Pi*ν])/(Pi*Sqrt[z]), 
  BesselJ[-1 + ν, Sqrt[z]]*BesselJ[ν, Sqrt[z]], BesselJ[-ν, Sqrt[z]]*BesselJ[ν, Sqrt[z]], 
  BesselJ[μ, Sqrt[z]]*BesselJ[ν, Sqrt[z]], (-BesselJ[-μ, Sqrt[z]])*BesselJ[-ν, Sqrt[z]] + 
   BesselJ[μ, Sqrt[z]]*BesselJ[ν, Sqrt[z]], BesselJ[-μ, Sqrt[z]]*BesselJ[-ν, Sqrt[z]] + 
   BesselJ[μ, Sqrt[z]]*BesselJ[ν, Sqrt[z]], BesselJ[-1 - n - ν, Sqrt[z]]*BesselJ[ν, Sqrt[z]] - 
   (2*Sum1[((-1)^(k + Floor[(1 + n)/2])*z^((1/2)*(-1 + 2*k - n))*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  BesselJ[ν, z]*Cos[a + z], BesselJ[ν, z]*Cos[z], BesselJ[ν, Sqrt[z]]*Cos[a + Sqrt[z]], BesselJ[ν, Sqrt[z]]*Cos[Sqrt[z]], 
  BesselJ[ν, z]*Sin[a + z], BesselJ[ν, z]*Sin[z], BesselJ[ν, Sqrt[z]]*Sin[a + Sqrt[z]], BesselJ[ν, Sqrt[z]]*Sin[Sqrt[z]], 
  BesselJ[ν, z]*Cos[z] + BesselJ[-ν, z]*Sin[z], BesselJ[-ν, z]*Cos[z] + BesselJ[ν, z]*Sin[z], 
  (-BesselJ[ν, z])*Cos[z] + BesselJ[-ν, z]*Sin[z], BesselJ[-ν, z]*Cos[z] - BesselJ[ν, z]*Sin[z], 
  BesselJ[ν, Sqrt[z]]*Cos[Sqrt[z]] + BesselJ[-ν, Sqrt[z]]*Sin[Sqrt[z]], BesselJ[ν, Sqrt[z]]*Cos[Sqrt[z]] + 
   BesselY[ν, Sqrt[z]]*Sin[Sqrt[z]], BesselJ[-ν, Sqrt[z]]*Cos[Sqrt[z]] + BesselJ[ν, Sqrt[z]]*Sin[Sqrt[z]], 
  (-BesselJ[ν, Sqrt[z]])*Cos[Sqrt[z]] + BesselJ[-ν, Sqrt[z]]*Sin[Sqrt[z]], BesselJ[-ν, Sqrt[z]]*Cos[Sqrt[z]] - 
   BesselJ[ν, Sqrt[z]]*Sin[Sqrt[z]], BesselI[ν, z], BesselI[-ν, z] + BesselI[ν, z], BesselI[-ν, z] - BesselI[ν, z], 
  BesselI[-ν, Sqrt[z]] + BesselI[ν, Sqrt[z]], BesselI[-ν, Sqrt[z]] - BesselI[ν, Sqrt[z]], BesselI[ν, Sqrt[z]], 
  BesselI[ν, z] - z^ν*Sum1[(4^(-k - ν/2)*z^(2*k))/(k!*Gamma[1 + k + ν]), {k, 0, n}], BesselI[ν, z] - z^ν/(2^ν*Gamma[1 + ν]), 
  BesselI[ν, z] - z^ν/(2^ν*Gamma[1 + ν]) - (4^(-1 - ν/2)*z^(2 + ν))/Gamma[2 + ν], 
  BesselI[ν, z] - z^ν/(2^ν*Gamma[1 + ν]) - (4^(-1 - ν/2)*z^(2 + ν))/Gamma[2 + ν] - (2^(-5 - ν)*z^(4 + ν))/Gamma[3 + ν], 
  BesselI[ν, z]/E^z, E^z*BesselI[ν, z], BesselI[ν, z]*Cosh[z], BesselI[ν, z]*Cosh[a + z], BesselI[ν, Sqrt[z]]*Cosh[Sqrt[z]], 
  BesselI[ν, z]*Sinh[z], BesselI[ν, z]*Sinh[a + z], BesselI[ν, Sqrt[z]]*Sinh[Sqrt[z]], 
  BesselI[ν, z]*Cosh[z] + BesselI[-ν, z]*Sinh[z], BesselI[-ν, z]*Cosh[z] + BesselI[ν, z]*Sinh[z], 
  (-BesselI[ν, z])*Cosh[z] + BesselI[-ν, z]*Sinh[z], BesselI[-ν, z]*Cosh[z] - BesselI[ν, z]*Sinh[z], 
  BesselI[ν, Sqrt[z]]*Cosh[Sqrt[z]] + BesselI[-ν, Sqrt[z]]*Sinh[Sqrt[z]], BesselI[-ν, Sqrt[z]]*Cosh[Sqrt[z]] + 
   BesselI[ν, Sqrt[z]]*Sinh[Sqrt[z]], (-BesselI[ν, Sqrt[z]])*Cosh[Sqrt[z]] + BesselI[-ν, Sqrt[z]]*Sinh[Sqrt[z]], 
  BesselI[-ν, Sqrt[z]]*Cosh[Sqrt[z]] - BesselI[ν, Sqrt[z]]*Sinh[Sqrt[z]], AiryAi[z]*BesselI[ν, (2*z^(3/2))/3], 
  AiryAi[(3/2)^(2/3)*z^(2/3)]*BesselI[ν, z], AiryAiPrime[z]*BesselI[ν, (2*z^(3/2))/3], 
  AiryAiPrime[(3/2)^(2/3)*z^(2/3)]*BesselI[ν, z], AiryBi[z]*BesselI[ν, (2*z^(3/2))/3], AiryBi[(3/2)^(2/3)*z^(2/3)]*BesselI[ν, z], 
  AiryBiPrime[z]*BesselI[ν, (2*z^(3/2))/3], AiryBiPrime[(3/2)^(2/3)*z^(2/3)]*BesselI[ν, z], BesselI[ν, z]^2, 
  BesselI[-ν, z]^2 - BesselI[ν, z]^2, BesselI[-ν, z]^2 + BesselI[ν, z]^2, BesselI[ν, Sqrt[z]]^2, 
  BesselI[-ν, Sqrt[z]]^2 - BesselI[ν, Sqrt[z]]^2, BesselI[-ν, Sqrt[z]]^2 + BesselI[ν, Sqrt[z]]^2, BesselI[μ, z]*BesselI[ν, z], 
  BesselI[-1 - n - ν, Sqrt[z]]*BesselI[ν, Sqrt[z]] - 
   (2*Sum1[((-1)^Floor[(1 + n)/2]*z^((1/2)*(-1 + 2*k - n))*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], 
         n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  BesselI[-μ, z]*BesselI[-ν, z] + BesselI[μ, z]*BesselI[ν, z], (-BesselI[-μ, z])*BesselI[-ν, z] + 
   BesselI[μ, z]*BesselI[ν, z], BesselI[-2 - ν, z]*BesselI[ν, z] - (4*(1 + ν)*Sin[Pi*ν])/(Pi*z^2), 
  BesselI[-1 - ν, z]*BesselI[ν, z] + (2*Sin[Pi*ν])/(Pi*z), BesselI[-1 + ν, z]*BesselI[ν, z], BesselI[-ν, z]*BesselI[ν, z], 
  BesselI[μ, Sqrt[z]]*BesselI[ν, Sqrt[z]], BesselI[-1 - n - ν, Sqrt[z]]*BesselI[ν, Sqrt[z]], 
  BesselI[-μ, Sqrt[z]]*BesselI[-ν, Sqrt[z]] - BesselI[μ, Sqrt[z]]*BesselI[ν, Sqrt[z]], 
  (-BesselI[-μ, Sqrt[z]])*BesselI[-ν, Sqrt[z]] + BesselI[μ, Sqrt[z]]*BesselI[ν, Sqrt[z]], 
  BesselI[-2 - ν, Sqrt[z]]*BesselI[ν, Sqrt[z]] - (4*(1 + ν)*Sin[Pi*ν])/(Pi*z), 
  BesselI[-1 - ν, Sqrt[z]]*BesselI[ν, Sqrt[z]] + (2*Sin[Pi*ν])/(Pi*Sqrt[z]), BesselI[-1 + ν, Sqrt[z]]*BesselI[ν, Sqrt[z]], 
  BesselI[-ν, Sqrt[z]]*BesselI[ν, Sqrt[z]], BesselI[-μ, Sqrt[z]]*BesselI[-ν, Sqrt[z]] + 
   BesselI[μ, Sqrt[z]]*BesselI[ν, Sqrt[z]], BesselI[ν, z]*BesselJ[-ν, z], BesselI[ν, z]*(BesselJ[-ν, z] - BesselJ[ν, z]), 
  BesselI[ν, z]*BesselJ[ν, z], BesselI[ν, z]*(BesselJ[-ν, z] + BesselJ[ν, z]), BesselI[ν, z^(1/4)]*BesselJ[-ν, z^(1/4)], 
  BesselI[ν, z^(1/4)]*BesselJ[ν, z^(1/4)], BesselK[ν, z], BesselK[ν, Sqrt[z]], BesselK[ν, Sqrt[z^2]], 
  BesselK[ν, z] + (1/2)*((-2^(-ν))*z^ν*Gamma[-ν] - (2^ν*Gamma[ν])/z^ν), 
  BesselK[ν, z] + (1/2)*((-2^(-ν))*z^ν*(1 + z^2/(4*(1 + ν)))*Gamma[-ν] - (2^ν*(1 + z^2/(4*(1 - ν)))*Gamma[ν])/z^ν), 
  BesselK[ν, z] + (1/2)*((-2^(-ν))*z^ν*(1 + z^2/(4*(1 + ν)) + z^4/(32*(1 + ν)*(2 + ν)))*Gamma[-ν] - 
     (2^ν*(1 + z^2/(4*(1 - ν)) + z^4/(32*(1 - ν)*(2 - ν)))*Gamma[ν])/z^ν), 
  BesselK[ν, z] - ((1/2)*Gamma[ν]*Sum1[(4^(-k + ν/2)*z^(2*k))/(k!*Pochhammer[1 - ν, k]), {k, 0, m}])/z^ν - 
   (1/2)*z^ν*Gamma[-ν]*Sum1[(4^(-k - ν/2)*z^(2*k))/(k!*Pochhammer[1 + ν, k]), {k, 0, n}], 
  BesselK[0, z] + (1/2)*(2*EulerGamma + 2*Log[z/2]), -(1/z) + BesselK[1, z] + 
   (1/4)*z*(1 - 2*EulerGamma + (1/8)*z^2*(5/2 - 2*EulerGamma - 2*Log[z/2]) - 2*Log[z/2]), 
  -((8*(z^2/4 - z^4/16))/z^4) + BesselK[2, z] - (1/8)*z^2*((1/2)*(3/2 - 2*EulerGamma - 2*Log[z/2]) + 
     (1/24)*z^2*(17/6 - 2*EulerGamma - 2*Log[z/2]) + (1/768)*z^4*(43/12 - 2*EulerGamma - 2*Log[z/2])), 
  BesselK[n, z] - 2^(1 + n)*z^(-2 - n)*Sum1[((-1)^(-1 + k)*z^(2*k)*(-k + n)!)/(2^(2*k)*(-1 + k)!), {k, 1, n}] + 
   (-1)^(1 + n)*2^(-1 - n)*z^n*Sum1[(z^(2*k)*(-2*Log[z/2] + PolyGamma[0, 1 + k] + PolyGamma[0, 1 + k + n]))/(2^(2*k)*(k!*(k + n)!)), 
     {k, 0, m}], BesselK[ν, z]/E^z, E^z*BesselK[ν, z], BesselK[ν, z]*Cosh[z], BesselK[ν, Sqrt[z]]*Cosh[Sqrt[z]], 
  BesselK[ν, z]*Sinh[z], BesselK[ν, Sqrt[z]]*Sinh[Sqrt[z]], AiryAi[(3/2)^(2/3)*z^(2/3)]*BesselK[ν, z], 
  AiryAi[z]*BesselK[ν, (2*z^(3/2))/3], AiryAiPrime[(3/2)^(2/3)*z^(2/3)]*BesselK[ν, z], AiryAiPrime[z]*BesselK[ν, (2*z^(3/2))/3], 
  AiryBi[(3/2)^(2/3)*z^(2/3)]*BesselK[ν, z], AiryBi[z]*BesselK[ν, (2*z^(3/2))/3], AiryBiPrime[(3/2)^(2/3)*z^(2/3)]*BesselK[ν, z], 
  AiryBiPrime[z]*BesselK[ν, (2*z^(3/2))/3], BesselK[ν, Sqrt[z]]^2, BesselK[ν, z]^2, 
  BesselK[ν, (-z)^(1/4)]*BesselK[ν, -((-z)^(3/4)/Sqrt[z])], BesselK[ν, -Sqrt[-z]]*BesselK[ν, Sqrt[-z]], 
  BesselK[-1 + ν, Sqrt[z]]*BesselK[ν, Sqrt[z]], BesselK[μ, Sqrt[z]]*BesselK[ν, Sqrt[z]], BesselK[-1 + ν, z]*BesselK[ν, z], 
  BesselK[μ, z]*BesselK[ν, z], BesselK[ν, -z]*BesselK[ν, z], BesselK[ν, (-I)*z]*BesselK[ν, z], BesselJ[-ν, z]*BesselK[ν, z], 
  (BesselJ[-ν, z] - BesselJ[ν, z])*BesselK[ν, z], BesselJ[ν, z]*BesselK[ν, z], 
  (BesselJ[-ν, z] + BesselJ[ν, z])*BesselK[ν, z], BesselJ[n + ν, z]*BesselK[ν, z], BesselJ[-n + ν, z]*BesselK[ν, z], 
  BesselJ[-ν, z^(1/4)]*BesselK[ν, z^(1/4)], (BesselJ[-ν, z^(1/4)] - BesselJ[ν, z^(1/4)])*BesselK[ν, z^(1/4)], 
  BesselJ[ν, z^(1/4)]*BesselK[ν, z^(1/4)], (BesselJ[-ν, z^(1/4)] + BesselJ[ν, z^(1/4)])*BesselK[ν, z^(1/4)], 
  BesselJ[n + ν, z^(1/4)]*BesselK[ν, z^(1/4)], BesselJ[-n + ν, z^(1/4)]*BesselK[ν, z^(1/4)], 
  BesselI[-ν, Sqrt[z]]*BesselK[ν, Sqrt[z]], (BesselI[-ν, Sqrt[z]] - BesselI[ν, Sqrt[z]])*BesselK[ν, Sqrt[z]], 
  BesselI[ν, Sqrt[z]]*BesselK[ν, Sqrt[z]], (BesselI[-ν, Sqrt[z]] + BesselI[ν, Sqrt[z]])*BesselK[ν, Sqrt[z]], 
  BesselI[ν, Sqrt[z]]*BesselK[μ, Sqrt[z]] + BesselI[μ, Sqrt[z]]*BesselK[ν, Sqrt[z]], 
  BesselI[ν, Sqrt[z]]*BesselK[μ, Sqrt[z]] - BesselI[μ, Sqrt[z]]*BesselK[ν, Sqrt[z]], 
  -(1/Sqrt[z]) + BesselI[ν, Sqrt[z]]*BesselK[1 + ν, Sqrt[z]], -((2*(1 + ν))/z) + BesselI[ν, Sqrt[z]]*BesselK[2 + ν, Sqrt[z]], 
  BesselI[ν, Sqrt[z]]*BesselK[1 + n + ν, Sqrt[z]] + (-1)^n*Sqrt[Pi]*Csc[Pi*ν]*
    Sum1[((-1)^Floor[(1 + n)/2]*z^((1/2)*(-1 + 2*k - n))*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], 
        n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}], BesselI[μ, Sqrt[z]]*BesselK[ν, Sqrt[z]], 
  BesselI[ν, Sqrt[z]]*BesselK[-1 - n - ν, Sqrt[z]] + (-1)^n*Sqrt[Pi]*Csc[Pi*ν]*
    Sum1[((-1)^Floor[(1 + n)/2]*z^((1/2)*(-1 + 2*k - n))*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], 
        n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}], 
  BesselI[ν, Sqrt[z]]^2 - BesselK[ν, Sqrt[z]]^2/Pi^2, BesselI[-ν, z]*BesselK[ν, z], 
  (BesselI[-ν, z] - BesselI[ν, z])*BesselK[ν, z], BesselI[ν, z]*BesselK[ν, z], 
  (BesselI[-ν, z] + BesselI[ν, z])*BesselK[ν, z], BesselI[ν, z]*BesselK[μ, z] + BesselI[μ, z]*BesselK[ν, z], 
  BesselI[ν, z]*BesselK[μ, z] - BesselI[μ, z]*BesselK[ν, z], -(1/z) + BesselI[ν, z]*BesselK[1 + ν, z], 
  -((2*(1 + ν))/z^2) + BesselI[ν, z]*BesselK[2 + ν, z], BesselI[μ, z]*BesselK[ν, z], 
  BesselI[ν, z]*BesselK[-1 - n - ν, z] + (-1)^n*Sqrt[Pi]*Csc[Pi*ν]*
    Sum1[((-1)^Floor[(1 + n)/2]*z^(-1 + 2*k - n)*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/
      (k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}], BesselI[ν, z]*BesselK[1 + n + ν, z] + 
   (-1)^n*Sqrt[Pi]*Csc[Pi*ν]*Sum1[((-1)^Floor[(1 + n)/2]*z^(-1 + 2*k - n)*Gamma[1/2 + k - n + Floor[n/2]]*
       Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}], 
  BesselI[ν, z]^2 - BesselK[ν, z]^2/Pi^2, BesselY[ν, z], -BesselY[-ν, z] + BesselY[ν, z], BesselY[-ν, z] + BesselY[ν, z], 
  BesselY[ν, Sqrt[z]], BesselY[ν, Sqrt[z^2]], -BesselY[-ν, Sqrt[z]] + BesselY[ν, Sqrt[z]], 
  BesselY[-ν, Sqrt[z]] + BesselY[ν, Sqrt[z]], 
  BesselY[ν, z] - Csc[Pi*ν]*(-(2^ν/(z^ν*Gamma[1 - ν])) + (z^ν*Cos[Pi*ν])/(2^ν*Gamma[1 + ν])), 
  BesselY[ν, z] - Csc[Pi*ν]*(-(2^ν/(z^ν*Gamma[1 - ν])) + (2^(-2 + ν)*z^(2 - ν))/Gamma[2 - ν] + 
     Cos[Pi*ν]*(z^ν/(2^ν*Gamma[1 + ν]) - (2^(-2 - ν)*z^(2 + ν))/Gamma[2 + ν])), 
  BesselY[ν, z] - Csc[Pi*ν]*(-(2^ν/(z^ν*Gamma[1 - ν])) + (2^(-2 + ν)*z^(2 - ν))/Gamma[2 - ν] - 
     (2^(-5 + ν)*z^(4 - ν))/Gamma[3 - ν] + Cos[Pi*ν]*(z^ν/(2^ν*Gamma[1 + ν]) - (2^(-2 - ν)*z^(2 + ν))/Gamma[2 + ν] + 
       (2^(-5 - ν)*z^(4 + ν))/Gamma[3 + ν])), 
  BesselY[ν, z] - Csc[Pi*ν]*(-Sum1[((-1)^k*2^(-2*k + ν)*z^(2*k - ν))/(k!*Gamma[1 + k - ν]), {k, 0, m}] + 
     Cos[Pi*ν]*Sum1[((-1)^k*2^(-2*k - ν)*z^(2*k + ν))/(k!*Gamma[1 + k + ν]), {k, 0, n}]), 
  BesselY[0, z] + (-2*EulerGamma - 2*Log[z/2])/Pi, 2/(Pi*z) + BesselY[1, z] + 
   (z*(1 - 2*EulerGamma - (1/8)*z^2*(5/2 - 2*EulerGamma - 2*Log[z/2]) - 2*Log[z/2]))/(2*Pi), 
  (16*(z^2/4 + z^4/16))/(Pi*z^4) + BesselY[2, z] + 
   (z^2*((1/2)*(3/2 - 2*EulerGamma - 2*Log[z/2]) - (1/24)*z^2*(17/6 - 2*EulerGamma - 2*Log[z/2]) + 
      (1/768)*z^4*(43/12 - 2*EulerGamma - 2*Log[z/2])))/(4*Pi), 
  BesselY[n, z] + (2^(2 + n)*z^(-2 - n)*Sum1[(z^(2*k)*(-k + n)!)/(4^k*(-1 + k)!), {k, 1, n}])/Pi + 
   (z^n*Sum1[((-1)^k*z^(2*k)*(-2*Log[z/2] + PolyGamma[0, 1 + k] + PolyGamma[0, 1 + k + n]))/(2^(2*k)*(k!*(k + n)!)), {k, 0, m}])/
    (2^n*Pi), BesselY[ν, z]*Cos[a + z], BesselY[ν, z]*Cos[z], BesselY[ν, Sqrt[z]]*Cos[Sqrt[z]], BesselY[ν, z]*Sin[z], 
  BesselY[ν, z]*Sin[a + z], BesselY[ν, Sqrt[z]]*Sin[Sqrt[z]], BesselJ[ν, z]*Cos[a*Pi] + BesselY[ν, z]*Sin[a*Pi], 
  BesselJ[ν, z]*Cos[a*Pi] - BesselY[ν, z]*Sin[a*Pi], BesselJ[ν, Sqrt[z]]*Cos[a*Pi] + BesselY[ν, Sqrt[z]]*Sin[a*Pi], 
  BesselJ[ν, Sqrt[z]]*Cos[a*Pi] - BesselY[ν, Sqrt[z]]*Sin[a*Pi], BesselY[ν, Sqrt[z]]*Cos[Sqrt[z]] + 
   BesselJ[ν, Sqrt[z]]*Sin[Sqrt[z]], BesselJ[ν, Sqrt[z]]*Cos[a + Sqrt[z]] + BesselY[ν, Sqrt[z]]*Sin[a + Sqrt[z]], 
  (-BesselY[ν, Sqrt[z]])*Cos[a + Sqrt[z]] + BesselJ[ν, Sqrt[z]]*Sin[a + Sqrt[z]], 
  (-BesselY[ν, Sqrt[z]])*Cos[Sqrt[z]] + BesselJ[ν, Sqrt[z]]*Sin[Sqrt[z]], BesselY[ν, Sqrt[z]]*Cos[Sqrt[z]] - 
   BesselJ[ν, Sqrt[z]]*Sin[Sqrt[z]], BesselJ[ν, Sqrt[z]]*Cos[Sqrt[z]] - BesselY[ν, Sqrt[z]]*Sin[Sqrt[z]], 
  (-BesselJ[ν, Sqrt[z]])*Cos[Sqrt[z]] + BesselY[ν, Sqrt[z]]*Sin[Sqrt[z]], BesselY[ν, z]*Cos[z] + BesselJ[ν, z]*Sin[z], 
  BesselJ[ν, z]*Cos[z] + BesselY[ν, z]*Sin[z], (-BesselY[ν, z])*Cos[z] + BesselJ[ν, z]*Sin[z], 
  BesselJ[ν, z]*Cos[z] - BesselY[ν, z]*Sin[z], BesselJ[ν, z]*Cos[a + z] + BesselY[ν, z]*Sin[a + z], 
  BesselJ[ν, z]*Cos[a + z] - BesselY[ν, z]*Sin[a + z], BesselY[ν, z]*Cos[a + z] + BesselJ[ν, z]*Sin[a + z], 
  (-BesselY[ν, z])*Cos[a + z] + BesselJ[ν, z]*Sin[a + z], BesselY[ν, Sqrt[z]]^2, 
  BesselY[-ν, Sqrt[z]]^2 - BesselY[ν, Sqrt[z]]^2, BesselY[-ν, Sqrt[z]]^2 + BesselY[ν, Sqrt[z]]^2, BesselY[ν, z]^2, 
  BesselY[-ν, z]^2 - BesselY[ν, z]^2, BesselY[-ν, z]^2 + BesselY[ν, z]^2, 
  BesselY[-μ, z]*BesselY[-ν, z] + BesselY[μ, z]*BesselY[ν, z], (-BesselY[-μ, z])*BesselY[-ν, z] + 
   BesselY[μ, z]*BesselY[ν, z], BesselY[-2 - ν, z]*BesselY[ν, z] + (4*(1 + ν)*Cos[Pi*ν]*Cot[Pi*ν])/(Pi*z^2), 
  BesselY[-1 - ν, z]*BesselY[ν, z] - (2*Cos[Pi*ν]*Cot[Pi*ν])/(Pi*z), BesselY[-1 - n - ν, z]*BesselY[ν, z] + 
   (2*Cot[Pi*ν]^2*Sum1[((-1)^(k + Floor[(1 + n)/2])*z^(-1 + 2*k - n)*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  BesselY[-μ, Sqrt[z]]*BesselY[-ν, Sqrt[z]] + BesselY[μ, Sqrt[z]]*BesselY[ν, Sqrt[z]], 
  (-BesselY[-μ, Sqrt[z]])*BesselY[-ν, Sqrt[z]] + BesselY[μ, Sqrt[z]]*BesselY[ν, Sqrt[z]], 
  BesselY[-2 - ν, Sqrt[z]]*BesselY[ν, Sqrt[z]] + (4*(1 + ν)*Cos[Pi*ν]*Cot[Pi*ν])/(Pi*z), 
  BesselY[-1 - ν, Sqrt[z]]*BesselY[ν, Sqrt[z]] - (2*Cos[Pi*ν]*Cot[Pi*ν])/(Pi*Sqrt[z]), 
  BesselY[1/2 - ν, Sqrt[z]]*BesselY[ν, Sqrt[z]], BesselY[-1 + ν, Sqrt[z]]*BesselY[ν, Sqrt[z]], 
  BesselY[-ν, Sqrt[z]]*BesselY[ν, Sqrt[z]], BesselY[μ, Sqrt[z]]*BesselY[ν, Sqrt[z]], 
  BesselY[-1 - n - ν, Sqrt[z]]*BesselY[ν, Sqrt[z]] + 
   (2*Cot[Pi*ν]^2*Sum1[((-1)^(k + Floor[(1 + n)/2])*z^((1/2)*(-1 + 2*k - n))*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  a*BesselJ[ν, z] + b*BesselY[ν, z], a*BesselJ[ν, Sqrt[z]] + b*BesselY[ν, Sqrt[z]], 
  BesselJ[ν, z]*BesselY[-2 - ν, z] + (4*(1 + ν)*Cos[Pi*ν])/(Pi*z^2), BesselJ[ν, z]*BesselY[-1 - ν, z] - (2*Cos[Pi*ν])/(Pi*z), 
  BesselJ[μ, z]*BesselY[ν, z], BesselJ[ν, z]*BesselY[μ, z] - BesselJ[μ, z]*BesselY[ν, z], 
  BesselJ[ν, z]*BesselY[-1 - n - ν, z] + 
   (2*Cot[Pi*ν]*Sum1[((-1)^(k + Floor[(1 + n)/2])*z^(-1 + 2*k - n)*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  BesselJ[1 + ν, z]*BesselY[ν, z], BesselJ[2 + ν, z]*BesselY[ν, z], BesselJ[ν, z]*BesselY[μ, z] + 
   BesselJ[μ, z]*BesselY[ν, z], BesselJ[ν, z]*BesselY[-ν, z] + BesselJ[-ν, z]*BesselY[ν, z], 
  BesselJ[ν, z]*BesselY[-ν, z] - BesselJ[-ν, z]*BesselY[ν, z], BesselJ[-ν, z]*BesselY[ν, z], BesselJ[ν, z]*BesselY[ν, z], 
  BesselJ[ν, Sqrt[z]]*BesselY[-2 - ν, Sqrt[z]] + (4*(1 + ν)*Cos[Pi*ν])/(Pi*z), 
  BesselJ[ν, Sqrt[z]]*BesselY[-1 - ν, Sqrt[z]] - (2*Cos[Pi*ν])/(Pi*Sqrt[z]), BesselJ[μ, Sqrt[z]]*BesselY[ν, Sqrt[z]], 
  BesselJ[-ν, Sqrt[z]]*BesselY[ν, Sqrt[z]], BesselJ[ν, Sqrt[z]]*BesselY[ν, Sqrt[z]], 
  BesselJ[1 + ν, Sqrt[z]]*BesselY[ν, Sqrt[z]], BesselJ[2 + ν, Sqrt[z]]*BesselY[ν, Sqrt[z]], 
  BesselJ[ν, Sqrt[z]]*BesselY[μ, Sqrt[z]] - BesselJ[μ, Sqrt[z]]*BesselY[ν, Sqrt[z]], 
  BesselJ[ν, Sqrt[z]]*BesselY[μ, Sqrt[z]] + BesselJ[μ, Sqrt[z]]*BesselY[ν, Sqrt[z]], 
  BesselJ[ν, Sqrt[z]]*BesselY[-ν, Sqrt[z]] + BesselJ[-ν, Sqrt[z]]*BesselY[ν, Sqrt[z]], 
  BesselJ[ν, Sqrt[z]]*BesselY[-ν, Sqrt[z]] - BesselJ[-ν, Sqrt[z]]*BesselY[ν, Sqrt[z]], 
  BesselJ[-ν, z]*BesselJ[ν, z] + BesselY[-ν, z]*BesselY[ν, z], BesselJ[-ν, z]*BesselJ[ν, z] - BesselY[-ν, z]*BesselY[ν, z], 
  BesselJ[μ, z]*BesselJ[ν, z] - BesselY[μ, z]*BesselY[ν, z], BesselJ[μ, z]*BesselJ[ν, z] + BesselY[μ, z]*BesselY[ν, z], 
  BesselJ[-ν, Sqrt[z]]*BesselJ[ν, Sqrt[z]] - BesselY[-ν, Sqrt[z]]*BesselY[ν, Sqrt[z]], 
  BesselJ[μ, Sqrt[z]]*BesselJ[ν, Sqrt[z]] - BesselY[μ, Sqrt[z]]*BesselY[ν, Sqrt[z]], 
  BesselJ[μ, Sqrt[z]]*BesselJ[ν, Sqrt[z]] + BesselY[μ, Sqrt[z]]*BesselY[ν, Sqrt[z]], BesselJ[ν, z]^2 - BesselY[ν, z]^2, 
  BesselJ[ν, z]^2 + BesselY[ν, z]^2, BesselJ[ν, Sqrt[z]]^2 - BesselY[ν, Sqrt[z]]^2, 
  BesselJ[ν, Sqrt[z]]^2 + BesselY[ν, Sqrt[z]]^2, BesselI[ν, z]*BesselY[-ν, z], BesselI[-ν, z]*BesselY[ν, z], 
  BesselI[ν, z]*BesselY[ν, z], BesselI[ν, z^(1/4)]*BesselY[-ν, z^(1/4)], BesselI[-ν, z^(1/4)]*BesselY[ν, z^(1/4)], 
  BesselI[ν, z^(1/4)]*BesselY[ν, z^(1/4)], BesselK[ν, z]*BesselY[-ν, z], BesselK[ν, z]*BesselY[ν, z], 
  BesselK[ν, z^(1/4)]*BesselY[-ν, z^(1/4)], BesselK[ν, z^(1/4)]*BesselY[ν, z^(1/4)], BesselK[0, z] - (1/2)*Pi*BesselY[0, z], 
  BesselK[n, z] + (1/2)*Pi*BesselY[n, z], BesselK[n, z] - (1/2)*Pi*BesselY[n, z], 
  BesselK[0, z^(1/4)] - (1/2)*Pi*BesselY[0, z^(1/4)], BesselK[n, z^(1/4)] + (1/2)*Pi*BesselY[n, z^(1/4)], 
  BesselK[n, z^(1/4)] - (1/2)*Pi*BesselY[n, z^(1/4)], SphericalBesselJ[ν, z], 
  SphericalBesselJ[-1 - ν, z] + SphericalBesselJ[ν, z], -SphericalBesselJ[-1 - ν, z] + SphericalBesselJ[ν, z], 
  Cos[z]*SphericalBesselJ[ν, z], Cos[a + z]*SphericalBesselJ[ν, z], Sin[z]*SphericalBesselJ[ν, z], 
  Sin[a + z]*SphericalBesselJ[ν, z], SphericalBesselJ[μ, z]*SphericalBesselJ[ν, z], 
  SphericalBesselJ[-1 - ν, z]*SphericalBesselJ[ν, z], SphericalBesselJ[-1 + ν, z]*SphericalBesselJ[ν, z], 
  SphericalBesselJ[ν, z]^2, SphericalBesselJ[-1 - ν, z]^2 - SphericalBesselJ[ν, z]^2, 
  SphericalBesselJ[-1 - ν, z]^2 + SphericalBesselJ[ν, z]^2, Cos[z]*SphericalBesselJ[-1 - ν, z] + Sin[z]*SphericalBesselJ[ν, z], 
  SphericalBesselJ[-1 - μ, z]*SphericalBesselJ[-1 - ν, z] + SphericalBesselJ[μ, z]*SphericalBesselJ[ν, z], 
  (-SphericalBesselJ[-1 - μ, z])*SphericalBesselJ[-1 - ν, z] + SphericalBesselJ[μ, z]*SphericalBesselJ[ν, z], 
  Cos[z]*SphericalBesselJ[-1 - ν, z] - Sin[z]*SphericalBesselJ[ν, z], SphericalBesselJ[ν, Sqrt[z]], 
  SphericalBesselJ[-1 - ν, Sqrt[z]] + SphericalBesselJ[ν, Sqrt[z]], -SphericalBesselJ[-1 - ν, Sqrt[z]] + 
   SphericalBesselJ[ν, Sqrt[z]], SphericalBesselJ[μ, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], 
  SphericalBesselJ[-1 - ν, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], SphericalBesselJ[-1 + ν, Sqrt[z]]*
   SphericalBesselJ[ν, Sqrt[z]], SphericalBesselJ[-1 - μ, Sqrt[z]]*SphericalBesselJ[-1 - ν, Sqrt[z]] + 
   SphericalBesselJ[μ, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], 
  (-SphericalBesselJ[-1 - μ, Sqrt[z]])*SphericalBesselJ[-1 - ν, Sqrt[z]] + SphericalBesselJ[μ, Sqrt[z]]*
    SphericalBesselJ[ν, Sqrt[z]], Cos[a + Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], Cos[Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], 
  Sin[a + Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], Sin[Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], SphericalBesselJ[ν, Sqrt[z]]^2, 
  SphericalBesselJ[-1 - ν, Sqrt[z]]^2 - SphericalBesselJ[ν, Sqrt[z]]^2, SphericalBesselJ[-1 - ν, Sqrt[z]]^2 + 
   SphericalBesselJ[ν, Sqrt[z]]^2, Cos[Sqrt[z]]*SphericalBesselJ[-1 - ν, Sqrt[z]] + Sin[Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], 
  Cos[Sqrt[z]]*SphericalBesselJ[-1 - ν, Sqrt[z]] - Sin[Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], 
  BesselI[1/2 + ν, z]*(SphericalBesselJ[-1 - ν, z] - SphericalBesselJ[ν, z]), 
  BesselK[1/2 + ν, z]*(SphericalBesselJ[-1 - ν, z] - SphericalBesselJ[ν, z]), 
  BesselJ[-μ, Sqrt[z]]*SphericalBesselJ[-1 - ν, Sqrt[z]] + BesselJ[μ, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], 
  (-BesselJ[-μ, Sqrt[z]])*SphericalBesselJ[-1 - ν, Sqrt[z]] + BesselJ[μ, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], 
  BesselJ[μ, z]*SphericalBesselJ[ν, z], BesselJ[-μ, z]*SphericalBesselJ[-1 - ν, z] + BesselJ[μ, z]*SphericalBesselJ[ν, z], 
  (-BesselJ[-μ, z])*SphericalBesselJ[-1 - ν, z] + BesselJ[μ, z]*SphericalBesselJ[ν, z], 
  BesselJ[-(1/2) - ν, z]*SphericalBesselJ[ν, z], BesselJ[-(1/2) + ν, z]*SphericalBesselJ[ν, z], 
  BesselJ[μ, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], BesselJ[-(1/2) - ν, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], 
  BesselJ[-(1/2) + ν, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], BesselI[-(1/2) - ν, z]*SphericalBesselJ[ν, z], 
  BesselI[1/2 + ν, z]*SphericalBesselJ[ν, z], BesselI[1/2 + ν, z]*(SphericalBesselJ[-1 - ν, z] + SphericalBesselJ[ν, z]), 
  BesselI[-(1/2) - ν, z^(1/4)]*SphericalBesselJ[ν, z^(1/4)], BesselI[1/2 + ν, z^(1/4)]*SphericalBesselJ[ν, z^(1/4)], 
  BesselY[1/2 + ν, z]*SphericalBesselJ[ν, z], BesselY[μ, z]*SphericalBesselJ[ν, z], 
  BesselY[-(1/2) - ν, z]*SphericalBesselJ[ν, z], BesselY[-(1/2) + ν, z]*SphericalBesselJ[ν, z], 
  BesselY[-(3/2) + ν, z]*SphericalBesselJ[ν, z], BesselY[1/2 + ν, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], 
  BesselY[μ, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], BesselY[-(1/2) - ν, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], 
  BesselY[-(1/2) + ν, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], BesselY[-(3/2) + ν, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]], 
  BesselY[μ, z]*SphericalBesselJ[ν, z] + BesselJ[μ, z]*SphericalBesselY[ν, z], 
  BesselY[-(1/2) - ν, z]*SphericalBesselJ[ν, z] + BesselJ[-(1/2) - ν, z]*SphericalBesselY[ν, z], 
  BesselJ[μ, z]*SphericalBesselJ[ν, z] + BesselY[μ, z]*SphericalBesselY[ν, z], 
  BesselY[μ, z]*SphericalBesselJ[ν, z] - BesselJ[μ, z]*SphericalBesselY[ν, z], 
  BesselY[-(1/2) - ν, z]*SphericalBesselJ[ν, z] - BesselJ[-(1/2) - ν, z]*SphericalBesselY[ν, z], 
  BesselJ[μ, z]*SphericalBesselJ[ν, z] - BesselY[μ, z]*SphericalBesselY[ν, z], 
  BesselJ[-(1/2) - ν, z]*SphericalBesselJ[ν, z] - BesselY[-(1/2) - ν, z]*SphericalBesselY[ν, z], 
  BesselJ[-(1/2) - ν, z]*SphericalBesselJ[ν, z] + BesselY[-(1/2) - ν, z]*SphericalBesselY[ν, z], 
  BesselY[μ, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]] + BesselJ[μ, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], 
  BesselY[-(1/2) - ν, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]] + BesselJ[-(1/2) - ν, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], 
  BesselJ[μ, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]] + BesselY[μ, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], 
  BesselY[μ, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]] - BesselJ[μ, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], 
  BesselY[-(1/2) - ν, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]] - BesselJ[-(1/2) - ν, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], 
  BesselJ[μ, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]] - BesselY[μ, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], 
  BesselJ[-(1/2) - ν, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]] - BesselY[-(1/2) - ν, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], 
  BesselK[1/2 + ν, z]*SphericalBesselJ[ν, z], BesselK[1/2 + ν, z]*(SphericalBesselJ[-1 - ν, z] + SphericalBesselJ[ν, z]), 
  BesselK[1/2 + ν, z^(1/4)]*(SphericalBesselJ[-1 - ν, z^(1/4)] - SphericalBesselJ[ν, z^(1/4)]), 
  BesselK[1/2 + ν, z^(1/4)]*SphericalBesselJ[ν, z^(1/4)], BesselK[1/2 + ν, z^(1/4)]*
   (SphericalBesselJ[-1 - ν, z^(1/4)] + SphericalBesselJ[ν, z^(1/4)]), Cos[a*Pi]*SphericalBesselJ[ν, z] + 
   Sin[a*Pi]*SphericalBesselY[ν, z], Cos[a*Pi]*SphericalBesselJ[ν, Sqrt[z]] + Sin[a*Pi]*SphericalBesselY[ν, Sqrt[z]], 
  SphericalBesselJ[μ, z]*SphericalBesselY[ν, z], SphericalBesselJ[-1 - ν, z]*SphericalBesselY[ν, z], 
  SphericalBesselJ[ν, z]*SphericalBesselY[ν, z], SphericalBesselJ[1 + ν, z]*SphericalBesselY[ν, z], 
  SphericalBesselJ[2 + ν, z]*SphericalBesselY[ν, z], SphericalBesselJ[ν, z]*SphericalBesselY[μ, z] + 
   SphericalBesselJ[μ, z]*SphericalBesselY[ν, z], SphericalBesselJ[ν, z]*SphericalBesselY[-1 - ν, z] + 
   SphericalBesselJ[-1 - ν, z]*SphericalBesselY[ν, z], SphericalBesselJ[μ, z]*SphericalBesselJ[ν, z] + 
   SphericalBesselY[μ, z]*SphericalBesselY[ν, z], SphericalBesselJ[-1 - ν, z]*SphericalBesselJ[ν, z] + 
   SphericalBesselY[-1 - ν, z]*SphericalBesselY[ν, z], SphericalBesselJ[ν, z]*SphericalBesselY[μ, z] - 
   SphericalBesselJ[μ, z]*SphericalBesselY[ν, z], SphericalBesselJ[ν, z]*SphericalBesselY[-1 - ν, z] - 
   SphericalBesselJ[-1 - ν, z]*SphericalBesselY[ν, z], SphericalBesselJ[μ, z]*SphericalBesselJ[ν, z] - 
   SphericalBesselY[μ, z]*SphericalBesselY[ν, z], SphericalBesselJ[-1 - ν, z]*SphericalBesselJ[ν, z] - 
   SphericalBesselY[-1 - ν, z]*SphericalBesselY[ν, z], SphericalBesselJ[ν, z]^2 - SphericalBesselY[ν, z]^2, 
  SphericalBesselJ[ν, z]^2 + SphericalBesselY[ν, z]^2, Sin[z]*SphericalBesselJ[ν, z] + Cos[z]*SphericalBesselY[ν, z], 
  Cos[z]*SphericalBesselJ[ν, z] + Sin[z]*SphericalBesselY[ν, z], Sin[z]*SphericalBesselJ[ν, z] - Cos[z]*SphericalBesselY[ν, z], 
  Sin[a + z]*SphericalBesselJ[ν, z] - Cos[a + z]*SphericalBesselY[ν, z], Sin[a + z]*SphericalBesselJ[ν, z] + 
   Cos[a + z]*SphericalBesselY[ν, z], Cos[a + z]*SphericalBesselJ[ν, z] + Sin[a + z]*SphericalBesselY[ν, z], 
  Cos[a + z]*SphericalBesselJ[ν, z] - Sin[a + z]*SphericalBesselY[ν, z], Cos[z]*SphericalBesselJ[ν, z] - 
   Sin[z]*SphericalBesselY[ν, z], SphericalBesselJ[μ, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], 
  SphericalBesselJ[-1 - ν, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], SphericalBesselJ[ν, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], 
  SphericalBesselJ[1 + ν, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], SphericalBesselJ[2 + ν, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], 
  SphericalBesselJ[ν, Sqrt[z]]*SphericalBesselY[μ, Sqrt[z]] + SphericalBesselJ[μ, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], 
  SphericalBesselJ[ν, Sqrt[z]]*SphericalBesselY[-1 - ν, Sqrt[z]] + SphericalBesselJ[-1 - ν, Sqrt[z]]*
    SphericalBesselY[ν, Sqrt[z]], SphericalBesselJ[μ, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]] + 
   SphericalBesselY[μ, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], SphericalBesselJ[ν, Sqrt[z]]*SphericalBesselY[μ, Sqrt[z]] - 
   SphericalBesselJ[μ, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], SphericalBesselJ[ν, Sqrt[z]]*SphericalBesselY[-1 - ν, Sqrt[z]] - 
   SphericalBesselJ[-1 - ν, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], SphericalBesselJ[μ, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]] - 
   SphericalBesselY[μ, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], SphericalBesselJ[-1 - ν, Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]] - 
   SphericalBesselY[-1 - ν, Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], SphericalBesselJ[ν, Sqrt[z]]^2 - 
   SphericalBesselY[ν, Sqrt[z]]^2, SphericalBesselJ[ν, Sqrt[z]]^2 + SphericalBesselY[ν, Sqrt[z]]^2, 
  Sin[Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]] + Cos[Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], 
  Cos[Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]] + Sin[Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], 
  Sin[a + Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]] - Cos[a + Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], 
  Sin[Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]] - Cos[Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], 
  Cos[Sqrt[z]]*SphericalBesselJ[ν, Sqrt[z]] - Sin[Sqrt[z]]*SphericalBesselY[ν, Sqrt[z]], Hypergeometric0F1[b, z], 
  Hypergeometric0F1[b, z] - Sum1[z^k/(k!*Pochhammer[b, k]), {k, 0, n}], -1 + Hypergeometric0F1[b, z], 
  -1 - z/b + Hypergeometric0F1[b, z], -1 - z/b - z^2/(2*b*(1 + b)) + Hypergeometric0F1[b, z], Hypergeometric0F1[b, z^2/4]/E^z, 
  E^z*Hypergeometric0F1[b, z^2/4], Hypergeometric0F1[b, z]/E^(2*Sqrt[z]), E^(2*Sqrt[z])*Hypergeometric0F1[b, z], 
  Cos[z]*Hypergeometric0F1[b, -(z^2/4)], Cos[a + z]*Hypergeometric0F1[b, -(z^2/4)], Cos[2*Sqrt[z]]*Hypergeometric0F1[b, -z], 
  Cos[a + 2*Sqrt[z]]*Hypergeometric0F1[b, -z], Hypergeometric0F1[b, -(z^2/4)]*Sin[z], Hypergeometric0F1[b, -(z^2/4)]*Sin[a + z], 
  Hypergeometric0F1[b, -z]*Sin[2*Sqrt[z]], Hypergeometric0F1[b, -z]*Sin[a + 2*Sqrt[z]], Cosh[z]*Hypergeometric0F1[b, z^2/4], 
  Cosh[a + z]*Hypergeometric0F1[b, z^2/4], Cosh[2*Sqrt[z]]*Hypergeometric0F1[b, z], Cosh[a + 2*Sqrt[z]]*Hypergeometric0F1[b, z], 
  Hypergeometric0F1[b, z^2/4]*Sinh[z], Hypergeometric0F1[b, z^2/4]*Sinh[a + z], Hypergeometric0F1[b, z]*Sinh[2*Sqrt[z]], 
  Hypergeometric0F1[b, z]*Sinh[a + 2*Sqrt[z]], AiryAi[z]*Hypergeometric0F1[b, z^3/9], 
  AiryAi[3^(2/3)*z^(1/3)]*Hypergeometric0F1[b, z], AiryAiPrime[z]*Hypergeometric0F1[b, z^3/9], 
  AiryAiPrime[3^(2/3)*z^(1/3)]*Hypergeometric0F1[b, z], AiryBi[z]*Hypergeometric0F1[b, z^3/9], 
  AiryBi[3^(2/3)*z^(1/3)]*Hypergeometric0F1[b, z], AiryBiPrime[z]*Hypergeometric0F1[b, z^3/9], 
  AiryBiPrime[3^(2/3)*z^(1/3)]*Hypergeometric0F1[b, z], BesselJ[ν, z]*Hypergeometric0F1[1 - ν, z^2/4], 
  BesselJ[1 - b, z]*Hypergeometric0F1[b, z^2/4], BesselJ[-1 + b, z]*Hypergeometric0F1[b, z^2/4], 
  BesselJ[ν, z]*Hypergeometric0F1[1 + ν, z^2/4], BesselJ[-1 + b, z]*Hypergeometric0F1[b, -(z^2/4)], 
  -((2^(1 + b)*z^(-1 - b))/Gamma[-b]) + BesselJ[-1 - b, z]*Hypergeometric0F1[b, -(z^2/4)], 
  BesselJ[1 - b, z]*Hypergeometric0F1[b, -(z^2/4)], -(2^b/(z^b*Gamma[1 - b])) + BesselJ[-b, z]*Hypergeometric0F1[b, -(z^2/4)], 
  BesselJ[b, z]*Hypergeometric0F1[b, -(z^2/4)], BesselJ[-b - n, z]*Hypergeometric0F1[b, -(z^2/4)] - 
   (2^b*Gamma[b]*Sum1[((-1)^(k + Floor[(1 + n)/2])*z^(-b + 2*k - n)*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  BesselJ[ν, z]*Hypergeometric0F1[b, -(z^2/4)], -(z^ν/(2^ν*Gamma[1 + ν])) + BesselJ[ν, z]*Hypergeometric0F1[-1 - ν, -(z^2/4)], 
  BesselJ[ν, z]*Hypergeometric0F1[-n - ν, -(z^2/4)] - 
   (2^(-n - ν)*Gamma[-n - ν]*Sum1[((-1)^(k + Floor[(1 + n)/2])*z^(2*k + ν)*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  -(z^ν/(2^ν*Gamma[1 + ν])) + BesselJ[ν, z]*Hypergeometric0F1[-ν, -(z^2/4)], BesselJ[ν, z]*Hypergeometric0F1[ν, -(z^2/4)], 
  BesselJ[ν, z]*Hypergeometric0F1[1 + ν, -(z^2/4)], BesselJ[ν, z]*Hypergeometric0F1[1 - ν, -(z^2/4)], 
  BesselJ[1 - b, 2*Sqrt[z]]*Hypergeometric0F1[b, z], BesselJ[ν, 2*Sqrt[z]]*Hypergeometric0F1[1 - ν, z], 
  BesselJ[-1 + b, 2*Sqrt[z]]*Hypergeometric0F1[b, z], BesselJ[ν, 2*Sqrt[z]]*Hypergeometric0F1[1 + ν, z], 
  BesselJ[-b - n, 2*Sqrt[z]]*Hypergeometric0F1[b, -z] - 
   (z^((1/2)*(-b - n))*Gamma[b]*Sum1[((-1)^(k + Floor[(1 + n)/2])*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/(2^n*Sqrt[Pi]), 
  BesselJ[ν, 2*Sqrt[z]]*Hypergeometric0F1[b, -z], BesselJ[ν, 2*Sqrt[z]]*Hypergeometric0F1[-n - ν, -z] - 
   (z^(ν/2)*Gamma[-n - ν]*Sum1[((-1)^(k + Floor[(1 + n)/2])*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/
    (2^n*Sqrt[Pi]), -(z^((1/2)*(-1 - b))/Gamma[-b]) + BesselJ[-1 - b, 2*Sqrt[z]]*Hypergeometric0F1[b, -z], 
  -(1/(z^(b/2)*Gamma[1 - b])) + BesselJ[-b, 2*Sqrt[z]]*Hypergeometric0F1[b, -z], BesselJ[b, 2*Sqrt[z]]*Hypergeometric0F1[b, -z], 
  -(z^(ν/2)/Gamma[1 + ν]) + BesselJ[ν, 2*Sqrt[z]]*Hypergeometric0F1[-1 - ν, -z], 
  -(z^(ν/2)/Gamma[1 + ν]) + BesselJ[ν, 2*Sqrt[z]]*Hypergeometric0F1[-ν, -z], BesselI[ν, z]*Hypergeometric0F1[1 - ν, -(z^2/4)], 
  BesselI[-1 + b, z]*Hypergeometric0F1[b, -(z^2/4)], BesselI[1 - b, z]*Hypergeometric0F1[b, -(z^2/4)], 
  BesselI[ν, z]*Hypergeometric0F1[1 + ν, -(z^2/4)], BesselI[-1 + b, z]*Hypergeometric0F1[b, z^2/4], 
  -((2^(1 + b)*z^(-1 - b))/Gamma[-b]) + BesselI[-1 - b, z]*Hypergeometric0F1[b, z^2/4], 
  BesselI[1 - b, z]*Hypergeometric0F1[b, z^2/4], -(2^b/(z^b*Gamma[1 - b])) + BesselI[-b, z]*Hypergeometric0F1[b, z^2/4], 
  BesselI[b, z]*Hypergeometric0F1[b, z^2/4], BesselI[-b - n, z]*Hypergeometric0F1[b, z^2/4] - 
   (2^b*Gamma[b]*Sum1[((-1)^Floor[(1 + n)/2]*z^(-b + 2*k - n)*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  BesselI[ν, z]*Hypergeometric0F1[b, z^2/4], -(z^ν/(2^ν*Gamma[1 + ν])) + BesselI[ν, z]*Hypergeometric0F1[-1 - ν, z^2/4], 
  BesselI[ν, z]*Hypergeometric0F1[1 - ν, z^2/4], BesselI[ν, z]*Hypergeometric0F1[-n - ν, z^2/4] - 
   (2^(-n - ν)*Gamma[-n - ν]*Sum1[((-1)^Floor[(1 + n)/2]*z^(2*k + ν)*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  -(z^ν/(2^ν*Gamma[1 + ν])) + BesselI[ν, z]*Hypergeometric0F1[-ν, z^2/4], BesselI[ν, z]*Hypergeometric0F1[1 + ν, z^2/4], 
  BesselI[ν, z]*Hypergeometric0F1[ν, z^2/4], BesselI[1 - b, 2*Sqrt[z]]*Hypergeometric0F1[b, -z], 
  BesselI[ν, 2*Sqrt[z]]*Hypergeometric0F1[1 - ν, -z], BesselI[-1 + b, 2*Sqrt[z]]*Hypergeometric0F1[b, -z], 
  BesselI[ν, 2*Sqrt[z]]*Hypergeometric0F1[1 + ν, -z], BesselI[-b - n, 2*Sqrt[z]]*Hypergeometric0F1[b, z] - 
   (z^((1/2)*(-b - n))*Gamma[b]*Sum1[((-1)^Floor[(1 + n)/2]*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/(2^n*Sqrt[Pi]), 
  BesselI[ν, 2*Sqrt[z]]*Hypergeometric0F1[b, z], BesselI[ν, 2*Sqrt[z]]*Hypergeometric0F1[-n - ν, z] - 
   (z^(ν/2)*Gamma[-n - ν]*Sum1[((-1)^Floor[(1 + n)/2]*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/
    (2^n*Sqrt[Pi]), -(z^((1/2)*(-1 - b))/Gamma[-b]) + BesselI[-1 - b, 2*Sqrt[z]]*Hypergeometric0F1[b, z], 
  -(1/(z^(b/2)*Gamma[1 - b])) + BesselI[-b, 2*Sqrt[z]]*Hypergeometric0F1[b, z], BesselI[b, 2*Sqrt[z]]*Hypergeometric0F1[b, z], 
  -(z^(ν/2)/Gamma[1 + ν]) + BesselI[ν, 2*Sqrt[z]]*Hypergeometric0F1[-1 - ν, z], 
  -(z^(ν/2)/Gamma[1 + ν]) + BesselI[ν, 2*Sqrt[z]]*Hypergeometric0F1[-ν, z], BesselK[ν, z]*Hypergeometric0F1[1 - ν, -(z^2/4)], 
  BesselK[ν, z]*Hypergeometric0F1[1 + ν, -(z^2/4)], BesselK[1 - b, z]*Hypergeometric0F1[b, -(z^2/4)], 
  BesselK[-1 + b, z]*Hypergeometric0F1[b, -(z^2/4)], (-2^b)*z^(-1 - b)*Gamma[1 + b] + 
   BesselK[-1 - b, z]*Hypergeometric0F1[b, z^2/4], (-2^b)*z^(-1 - b)*Gamma[1 + b] + BesselK[1 + b, z]*Hypergeometric0F1[b, z^2/4], 
  ((-2^(-1 + b))*Gamma[b])/z^b + BesselK[-b, z]*Hypergeometric0F1[b, z^2/4], 
  ((-2^(-1 + b))*Gamma[b])/z^b + BesselK[b, z]*Hypergeometric0F1[b, z^2/4], (-2^(-1 - ν))*z^ν*Gamma[-ν] + 
   BesselK[ν, z]*Hypergeometric0F1[-1 - ν, z^2/4], ((-2^(-1 + ν))*Gamma[ν])/z^ν + 
   BesselK[ν, z]*Hypergeometric0F1[-1 + ν, z^2/4], (-2^(-1 - ν))*z^ν*Gamma[-ν] + BesselK[ν, z]*Hypergeometric0F1[-ν, z^2/4], 
  ((-2^(-1 + ν))*Gamma[ν])/z^ν + BesselK[ν, z]*Hypergeometric0F1[ν, z^2/4], BesselK[ν, z]*Hypergeometric0F1[b, z^2/4], 
  BesselK[-b - n, z]*Hypergeometric0F1[b, z^2/4] + (-1)^(1 + n)*2^(-1 + b)*Sqrt[Pi]*Csc[b*Pi]*Gamma[b]*
    Sum1[((-1)^Floor[(1 + n)/2]*z^(-b + 2*k - n)*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/
      (k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}], BesselK[b + n, z]*Hypergeometric0F1[b, z^2/4] + 
   (-1)^(1 + n)*2^(-1 + b)*Sqrt[Pi]*Csc[b*Pi]*Gamma[b]*Sum1[((-1)^Floor[(1 + n)/2]*z^(-b + 2*k - n)*Gamma[1/2 + k - n + Floor[n/2]]*
       Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}], 
  BesselK[ν, z]*Hypergeometric0F1[-n - ν, z^2/4] + 2^(-1 - n - ν)*Sqrt[Pi]*Csc[Pi*ν]*Gamma[-n - ν]*
    Sum1[((-1)^Floor[(1 + n)/2]*z^(2*k + ν)*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/
      (k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}], BesselK[ν, z]*Hypergeometric0F1[-n + ν, z^2/4] - 
   2^(-1 - n + ν)*Sqrt[Pi]*Csc[Pi*ν]*Gamma[-n + ν]*Sum1[((-1)^Floor[(1 + n)/2]*z^(2*k - ν)*Gamma[1/2 + k - n + Floor[n/2]]*
       Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[1 + k - ν]*Gamma[k - n + ν]), {k, 0, Floor[n/2]}], 
  BesselK[1 - b, 2*Sqrt[z]]*Hypergeometric0F1[b, -z], BesselK[-1 + b, 2*Sqrt[z]]*Hypergeometric0F1[b, -z], 
  BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1[1 + ν, -z], BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1[1 - ν, -z], 
  BesselK[-b - n, 2*Sqrt[z]]*Hypergeometric0F1[b, z] + (-1)^(1 + n)*2^(-1 - n)*Sqrt[Pi]*z^((1/2)*(-b - n))*Csc[b*Pi]*Gamma[b]*
    Sum1[((-1)^Floor[(1 + n)/2]*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/
      (k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}], BesselK[b + n, 2*Sqrt[z]]*Hypergeometric0F1[b, z] + 
   (-1)^(1 + n)*2^(-1 - n)*Sqrt[Pi]*z^((1/2)*(-b - n))*Csc[b*Pi]*Gamma[b]*
    Sum1[((-1)^Floor[(1 + n)/2]*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/
      (k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}], BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1[-n - ν, z] + 
   2^(-1 - n)*Sqrt[Pi]*z^(ν/2)*Csc[Pi*ν]*Gamma[-n - ν]*
    Sum1[((-1)^Floor[(1 + n)/2]*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/
      (k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}], BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1[-n + ν, z] - 
   (2^(-1 - n)*Sqrt[Pi]*Csc[Pi*ν]*Gamma[-n + ν]*Sum1[((-1)^Floor[(1 + n)/2]*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[1 + k - ν]*Gamma[k - n + ν]), {k, 0, Floor[n/2]}])/z^(ν/2), 
  BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1[b, z], (-(1/2))*z^((1/2)*(-1 - b))*Gamma[1 + b] + 
   BesselK[-1 - b, 2*Sqrt[z]]*Hypergeometric0F1[b, z], (-(1/2))*z^((1/2)*(-1 - b))*Gamma[1 + b] + 
   BesselK[1 + b, 2*Sqrt[z]]*Hypergeometric0F1[b, z], ((-(1/2))*Gamma[b])/z^(b/2) + BesselK[-b, 2*Sqrt[z]]*Hypergeometric0F1[b, z], 
  ((-(1/2))*Gamma[b])/z^(b/2) + BesselK[b, 2*Sqrt[z]]*Hypergeometric0F1[b, z], 
  (-(1/2))*z^(ν/2)*Gamma[-ν] + BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1[-1 - ν, z], 
  ((-(1/2))*Gamma[ν])/z^(ν/2) + BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1[-1 + ν, z], 
  (-(1/2))*z^(ν/2)*Gamma[-ν] + BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1[-ν, z], 
  ((-(1/2))*Gamma[ν])/z^(ν/2) + BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1[ν, z], 
  BesselK[1 - b, 2*z^(1/4)]*Hypergeometric0F1[b, -Sqrt[z]], BesselK[-1 + b, 2*z^(1/4)]*Hypergeometric0F1[b, -Sqrt[z]], 
  BesselY[ν, z]*Hypergeometric0F1[1 - ν, z^2/4], BesselY[ν, z]*Hypergeometric0F1[1 + ν, z^2/4], 
  BesselY[1 - b, z]*Hypergeometric0F1[b, z^2/4], BesselY[-1 + b, z]*Hypergeometric0F1[b, z^2/4], 
  -((2^(1 + b)*z^(-1 - b)*Cos[b*Pi]*Gamma[1 + b])/Pi) + BesselY[-1 - b, z]*Hypergeometric0F1[b, -(z^2/4)], 
  (2^b*Cos[b*Pi]*Gamma[b])/(z^b*Pi) + BesselY[-b, z]*Hypergeometric0F1[b, -(z^2/4)], 
  (2^(1 + b)*z^(-1 - b)*Gamma[1 + b])/Pi + BesselY[1 + b, z]*Hypergeometric0F1[b, -(z^2/4)], 
  BesselY[ν, z]*Hypergeometric0F1[b, -(z^2/4)], (z^ν*Cos[Pi*ν]*Gamma[-ν])/(2^ν*Pi) + 
   BesselY[ν, z]*Hypergeometric0F1[-1 - ν, -(z^2/4)], (2^ν*Gamma[ν])/(z^ν*Pi) + 
   BesselY[ν, z]*Hypergeometric0F1[-1 + ν, -(z^2/4)], (2^b*Gamma[b])/(z^b*Pi) + BesselY[b, z]*Hypergeometric0F1[b, -(z^2/4)], 
  (2^b*Csc[b*Pi])/(z^b*Gamma[1 - b]) + BesselY[b, z]*Hypergeometric0F1[b, -(z^2/4)], 
  (z^ν*Cos[Pi*ν]*Gamma[-ν])/(2^ν*Pi) + BesselY[ν, z]*Hypergeometric0F1[-ν, -(z^2/4)], 
  (2^ν*Gamma[ν])/(z^ν*Pi) + BesselY[ν, z]*Hypergeometric0F1[ν, -(z^2/4)], (2^ν*Csc[Pi*ν])/(z^ν*Gamma[1 - ν]) + 
   BesselY[ν, z]*Hypergeometric0F1[ν, -(z^2/4)], BesselY[-b - n, z]*Hypergeometric0F1[b, -(z^2/4)] + 
   (2^b*z^(-b - n)*Cot[b*Pi]*Gamma[b]*Sum1[((-1)^(k + Floor[(1 + n)/2])*z^(2*k)*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  BesselY[b + n, z]*Hypergeometric0F1[b, -(z^2/4)] + ((-1)^(2 + n)*2^b*z^(-b - n)*Csc[b*Pi]*Gamma[b]*
     Sum1[((-1)^(k + Floor[(1 + n)/2])*z^(2*k)*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/
       (k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/Sqrt[Pi], BesselY[ν, z]*Hypergeometric0F1[-n - ν, -(z^2/4)] - 
   (2^(-n - ν)*z^ν*Cot[Pi*ν]*Gamma[-n - ν]*Sum1[((-1)^(k + Floor[(1 + n)/2])*z^(2*k)*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  BesselY[ν, z]*Hypergeometric0F1[-n + ν, -(z^2/4)] + 
   (2^(-n + ν)*Csc[Pi*ν]*Gamma[-n + ν]*Sum1[((-1)^(k + Floor[(1 + n)/2])*z^(2*k)*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[1 + k - ν]*Gamma[k - n + ν]), {k, 0, Floor[n/2]}])/
    (z^ν*Sqrt[Pi]), BesselY[1 - b, 2*Sqrt[z]]*Hypergeometric0F1[b, z], BesselY[-1 + b, 2*Sqrt[z]]*Hypergeometric0F1[b, z], 
  BesselY[ν, 2*Sqrt[z]]*Hypergeometric0F1[1 - ν, z], BesselY[ν, 2*Sqrt[z]]*Hypergeometric0F1[1 + ν, z], 
  BesselY[-b - n, 2*Sqrt[z]]*Hypergeometric0F1[b, -z] + 
   (z^((1/2)*(-b - n))*Cot[b*Pi]*Gamma[b]*Sum1[((-1)^(k + Floor[(1 + n)/2])*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/(2^n*Sqrt[Pi]), 
  BesselY[b + n, 2*Sqrt[z]]*Hypergeometric0F1[b, -z] + ((-1)^(2 + n)*z^((1/2)*(-b - n))*Csc[b*Pi]*Gamma[b]*
     Sum1[((-1)^(k + Floor[(1 + n)/2])*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/
       (k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/(2^n*Sqrt[Pi]), 
  BesselY[ν, 2*Sqrt[z]]*Hypergeometric0F1[-n - ν, -z] - 
   (z^(ν/2)*Cot[Pi*ν]*Gamma[-n - ν]*Sum1[((-1)^(k + Floor[(1 + n)/2])*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/
    (2^n*Sqrt[Pi]), BesselY[ν, 2*Sqrt[z]]*Hypergeometric0F1[-n + ν, -z] + 
   (Csc[Pi*ν]*Gamma[-n + ν]*Sum1[((-1)^(k + Floor[(1 + n)/2])*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[1 + k - ν]*Gamma[k - n + ν]), {k, 0, Floor[n/2]}])/
    (2^n*z^(ν/2)*Sqrt[Pi]), BesselY[ν, 2*Sqrt[z]]*Hypergeometric0F1[b, -z], (z^((1/2)*(-1 - b))*Cot[b*Pi])/Gamma[-b] + 
   BesselY[-1 - b, 2*Sqrt[z]]*Hypergeometric0F1[b, -z], BesselY[-3 + b, 2*Sqrt[z]]*Hypergeometric0F1[b, -z], 
  BesselY[-2 + b, 2*Sqrt[z]]*Hypergeometric0F1[b, -z], BesselY[-1 + b, 2*Sqrt[z]]*Hypergeometric0F1[b, -z], 
  (Cos[b*Pi]*Gamma[b])/(z^(b/2)*(2*Pi)) + BesselY[-b, 2*Sqrt[z]]*Hypergeometric0F1[b, -z], 
  (Cos[b*Pi]*Gamma[b])/(z^(b/2)*Pi) + BesselY[-b, 2*Sqrt[z]]*Hypergeometric0F1[b, -z], 
  Gamma[b]/(z^(b/2)*Pi) + BesselY[b, 2*Sqrt[z]]*Hypergeometric0F1[b, -z], (z^((1/2)*(-1 - b))*Gamma[1 + b])/Pi + 
   BesselY[1 + b, 2*Sqrt[z]]*Hypergeometric0F1[b, -z], (z^(ν/2)*Cos[Pi*ν]*Gamma[-ν])/Pi + 
   BesselY[ν, 2*Sqrt[z]]*Hypergeometric0F1[-1 - ν, -z], Gamma[ν]/(z^(ν/2)*Pi) + 
   BesselY[ν, 2*Sqrt[z]]*Hypergeometric0F1[-1 + ν, -z], (z^(ν/2)*Cos[Pi*ν]*Gamma[-ν])/(2*Pi) + 
   BesselY[ν, 2*Sqrt[z]]*Hypergeometric0F1[-ν, -z], BesselY[1 - b, 2*z^(1/4)]*Hypergeometric0F1[b, Sqrt[z]], 
  BesselY[-1 + b, 2*z^(1/4)]*Hypergeometric0F1[b, Sqrt[z]], Hypergeometric0F1[b, -(z^2/4)]*SphericalBesselJ[ν, z], 
  Hypergeometric0F1[1/2 - ν, z^2/4]*SphericalBesselJ[ν, z], Hypergeometric0F1[3/2 + ν, z^2/4]*SphericalBesselJ[ν, z], 
  Hypergeometric0F1[b, z]^2, Hypergeometric0F1[2 - b, -z]*Hypergeometric0F1[b, z], Hypergeometric0F1[b, -z]*Hypergeometric0F1[b, z], 
  Hypergeometric0F1[b, z]*Hypergeometric0F1[c, z], Hypergeometric0F1[-1 + b, z]*Hypergeometric0F1[b, z], 
  Hypergeometric0F1[b, z]*Hypergeometric0F1[1 + b, z], -1 + Hypergeometric0F1[1 - b, z]*Hypergeometric0F1[b, z], 
  Hypergeometric0F1[2 - b, z]*Hypergeometric0F1[b, z], -1 + Hypergeometric0F1[-b, z]*Hypergeometric0F1[b, z], 
  Hypergeometric0F1[b, z]*Hypergeometric0F1[1 - b - n, z] - 
   (Gamma[b]*Gamma[1 - b - n]*Sum1[((-1)^Floor[(1 + n)/2]*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/(2^n*Sqrt[Pi]), 
  Hypergeometric0F1[b, z]*Hypergeometric0F1[c, z] - Sum1[(4^k*z^k*Pochhammer[(1/2)*(-1 + b + c), k]*Pochhammer[(b + c)/2, k])/
     (k!*Pochhammer[b, k]*Pochhammer[c, k]*Pochhammer[-1 + b + c, k]), {k, 0, n}], 
  -1 + Hypergeometric0F1[b, z]*Hypergeometric0F1[c, z], -1 - ((b + c)*z)/(b*c) + Hypergeometric0F1[b, z]*Hypergeometric0F1[c, z], 
  -1 - ((b + c)*z)/(b*c) - (2*(1 + (1/2)*(-1 + b + c))*(1 + (b + c)/2)*z^2)/(b*(1 + b)*c*(1 + c)) + 
   Hypergeometric0F1[b, z]*Hypergeometric0F1[c, z], Hypergeometric0F1Regularized[b, z], Hypergeometric0F1Regularized[b, z^2/4]/E^z, 
  E^z*Hypergeometric0F1Regularized[b, z^2/4], Hypergeometric0F1Regularized[b, z]/E^(2*Sqrt[z]), 
  E^(2*Sqrt[z])*Hypergeometric0F1Regularized[b, z], Cos[z]*Hypergeometric0F1Regularized[b, -(z^2/4)], 
  Cos[a + z]*Hypergeometric0F1Regularized[b, -(z^2/4)], Cos[2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z], 
  Cos[a + 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z], Hypergeometric0F1Regularized[b, -(z^2/4)]*Sin[z], 
  Hypergeometric0F1Regularized[b, -(z^2/4)]*Sin[a + z], Hypergeometric0F1Regularized[b, -z]*Sin[2*Sqrt[z]], 
  Hypergeometric0F1Regularized[b, -z]*Sin[a + 2*Sqrt[z]], Cosh[z]*Hypergeometric0F1Regularized[b, z^2/4], 
  Cosh[a + z]*Hypergeometric0F1Regularized[b, z^2/4], Cosh[2*Sqrt[z]]*Hypergeometric0F1Regularized[b, z], 
  Cosh[a + 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, z], Hypergeometric0F1Regularized[b, z^2/4]*Sinh[z], 
  Hypergeometric0F1Regularized[b, z^2/4]*Sinh[a + z], Hypergeometric0F1Regularized[b, z]*Sinh[2*Sqrt[z]], 
  Hypergeometric0F1Regularized[b, z]*Sinh[a + 2*Sqrt[z]], AiryAi[z]*Hypergeometric0F1Regularized[b, z^3/9], 
  AiryAi[3^(2/3)*z^(1/3)]*Hypergeometric0F1Regularized[b, z], AiryAiPrime[z]*Hypergeometric0F1Regularized[b, z^3/9], 
  AiryAiPrime[3^(2/3)*z^(1/3)]*Hypergeometric0F1Regularized[b, z], AiryBi[z]*Hypergeometric0F1Regularized[b, z^3/9], 
  AiryBi[3^(2/3)*z^(1/3)]*Hypergeometric0F1Regularized[b, z], AiryBiPrime[z]*Hypergeometric0F1Regularized[b, z^3/9], 
  AiryBiPrime[3^(2/3)*z^(1/3)]*Hypergeometric0F1Regularized[b, z], BesselJ[1 - b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, z], 
  BesselJ[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[1 - ν, z], BesselJ[-1 + b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, z], 
  BesselJ[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[1 + ν, z], BesselJ[-b - n, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z] - 
   (z^((1/2)*(-b - n))*Sum1[((-1)^(k + Floor[(1 + n)/2])*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/(2^n*Sqrt[Pi]), 
  BesselJ[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[-n - ν, -z] - 
   (z^(ν/2)*Sum1[((-1)^(k + Floor[(1 + n)/2])*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], 
         n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/(2^n*Sqrt[Pi]), 
  BesselJ[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z], BesselJ[-1 - b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z] + 
   (b*z^((1/2)*(-1 - b))*Sin[b*Pi])/Pi, BesselJ[-b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z] - Sin[b*Pi]/(z^(b/2)*Pi), 
  BesselJ[b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z], BesselJ[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[-1 - ν, -z] - 
   (z^(ν/2)*(1 + ν)*Sin[Pi*ν])/Pi, BesselJ[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[-ν, -z] + (z^(ν/2)*Sin[Pi*ν])/Pi, 
  BesselJ[ν, z]*Hypergeometric0F1Regularized[1 - ν, z^2/4], BesselJ[ν, z]*Hypergeometric0F1Regularized[1 + ν, z^2/4], 
  BesselJ[-1 + b, z]*Hypergeometric0F1Regularized[b, z^2/4], BesselJ[1 - b, z]*Hypergeometric0F1Regularized[b, z^2/4], 
  BesselJ[-1 + b, z]*Hypergeometric0F1Regularized[b, -(z^2/4)], BesselJ[-1 - b, z]*Hypergeometric0F1Regularized[b, -(z^2/4)] + 
   (2^(1 + b)*b*z^(-1 - b)*Sin[b*Pi])/Pi, BesselJ[1 - b, z]*Hypergeometric0F1Regularized[b, -(z^2/4)], 
  BesselJ[-b, z]*Hypergeometric0F1Regularized[b, -(z^2/4)] - (2^b*Sin[b*Pi])/(z^b*Pi), 
  BesselJ[b, z]*Hypergeometric0F1Regularized[b, -(z^2/4)], BesselJ[ν, z]*Hypergeometric0F1Regularized[b, -(z^2/4)], 
  BesselJ[ν, z]*Hypergeometric0F1Regularized[-1 - ν, -(z^2/4)] - (z^ν*(1 + ν)*Sin[Pi*ν])/(2^ν*Pi), 
  BesselJ[ν, z]*Hypergeometric0F1Regularized[-ν, -(z^2/4)] + (z^ν*Sin[Pi*ν])/(2^ν*Pi), 
  BesselJ[ν, z]*Hypergeometric0F1Regularized[1 + ν, -(z^2/4)], BesselJ[ν, z]*Hypergeometric0F1Regularized[1 - ν, -(z^2/4)], 
  BesselJ[-b - n, z]*Hypergeometric0F1Regularized[b, -(z^2/4)] - 
   (2^b*Sum1[((-1)^(k + Floor[(1 + n)/2])*z^(-b + 2*k - n)*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], 
         n - Floor[n/2]])/(k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  BesselJ[ν, z]*Hypergeometric0F1Regularized[-n - ν, -(z^2/4)] - 
   (2^(-n - ν)*Sum1[((-1)^(k + Floor[(1 + n)/2])*z^(2*k + ν)*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  BesselI[1 - b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z], BesselI[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[1 - ν, -z], 
  BesselI[-1 + b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z], BesselI[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[1 + ν, -z], 
  BesselI[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, z], BesselI[-1 - b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, z] + 
   (b*z^((1/2)*(-1 - b))*Sin[b*Pi])/Pi, BesselI[b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, z], 
  BesselI[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[-1 - ν, z] - (z^(ν/2)*(1 + ν)*Sin[Pi*ν])/Pi, 
  BesselI[-b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, z] - Sin[b*Pi]/(z^(b/2)*Pi), 
  BesselI[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[-ν, z] + (z^(ν/2)*Sin[Pi*ν])/Pi, 
  BesselI[-b - n, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, z] - 
   (z^((1/2)*(-b - n))*Sum1[((-1)^Floor[(1 + n)/2]*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], 
         n - Floor[n/2]])/(k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/(2^n*Sqrt[Pi]), 
  BesselI[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[-n - ν, z] - 
   (z^(ν/2)*Sum1[((-1)^Floor[(1 + n)/2]*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/
       (k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/(2^n*Sqrt[Pi]), 
  BesselI[ν, z]*Hypergeometric0F1Regularized[1 - ν, -(z^2/4)], BesselI[-1 + b, z]*Hypergeometric0F1Regularized[b, -(z^2/4)], 
  BesselI[1 - b, z]*Hypergeometric0F1Regularized[b, -(z^2/4)], BesselI[ν, z]*Hypergeometric0F1Regularized[1 + ν, -(z^2/4)], 
  BesselI[-1 + b, z]*Hypergeometric0F1Regularized[b, z^2/4], BesselI[-1 - b, z]*Hypergeometric0F1Regularized[b, z^2/4] + 
   (2^(1 + b)*b*z^(-1 - b)*Sin[b*Pi])/Pi, BesselI[1 - b, z]*Hypergeometric0F1Regularized[b, z^2/4], 
  BesselI[-b, z]*Hypergeometric0F1Regularized[b, z^2/4] - (2^b*Sin[b*Pi])/(z^b*Pi), 
  BesselI[b, z]*Hypergeometric0F1Regularized[b, z^2/4], BesselI[ν, z]*Hypergeometric0F1Regularized[b, z^2/4], 
  BesselI[ν, z]*Hypergeometric0F1Regularized[-1 - ν, z^2/4] - (z^ν*(1 + ν)*Sin[Pi*ν])/(2^ν*Pi), 
  BesselI[ν, z]*Hypergeometric0F1Regularized[1 - ν, z^2/4], BesselI[ν, z]*Hypergeometric0F1Regularized[-ν, z^2/4] + 
   (z^ν*Sin[Pi*ν])/(2^ν*Pi), BesselI[ν, z]*Hypergeometric0F1Regularized[1 + ν, z^2/4], 
  BesselI[-b - n, z]*Hypergeometric0F1Regularized[b, z^2/4] - 
   (2^b*Sum1[((-1)^Floor[(1 + n)/2]*z^(-b + 2*k - n)*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/
       (k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  BesselI[ν, z]*Hypergeometric0F1Regularized[-n - ν, z^2/4] - 
   (2^(-n - ν)*Sum1[((-1)^Floor[(1 + n)/2]*z^(2*k + ν)*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], 
         n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  BesselK[1 - b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z], BesselK[-1 + b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z], 
  BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[1 - ν, -z], BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[1 + ν, -z], 
  (-(1/2))*b*z^((1/2)*(-1 - b)) + BesselK[-1 - b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, z], 
  (-(1/2))*b*z^((1/2)*(-1 - b)) + BesselK[1 + b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, z], 
  -(1/2)/z^(b/2) + BesselK[-b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, z], 
  BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, z], (1/2)*z^(ν/2)*(1 + ν) + 
   BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[-1 - ν, z], ((-(1/2))*(-1 + ν))/z^(ν/2) + 
   BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[-1 + ν, z], 
  -(z^(ν/2)/2) + BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[-ν, z], 
  -(1/2)/z^(ν/2) + BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[ν, z], 
  BesselK[-b - n, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, z] + (-1)^(1 + n)*2^(-1 - n)*Sqrt[Pi]*z^((1/2)*(-b - n))*Csc[b*Pi]*
    Sum1[((-1)^Floor[(1 + n)/2]*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/
      (k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}], BesselK[b + n, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, z] + 
   (-1)^(1 + n)*2^(-1 - n)*Sqrt[Pi]*z^((1/2)*(-b - n))*Csc[b*Pi]*
    Sum1[((-1)^Floor[(1 + n)/2]*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/
      (k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}], BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[-n - ν, z] + 
   2^(-1 - n)*Sqrt[Pi]*z^(ν/2)*Csc[Pi*ν]*Sum1[((-1)^Floor[(1 + n)/2]*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*
       Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}], 
  BesselK[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[-n + ν, z] - 
   (2^(-1 - n)*Sqrt[Pi]*Csc[Pi*ν]*Sum1[((-1)^Floor[(1 + n)/2]*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[1 + k - ν]*Gamma[k - n + ν]), {k, 0, Floor[n/2]}])/z^(ν/2), 
  BesselK[1 - b, 2*z^(1/4)]*Hypergeometric0F1Regularized[b, -Sqrt[z]], 
  BesselK[ν, z]*Hypergeometric0F1Regularized[1 - ν, -(z^2/4)], BesselK[1 - b, z]*Hypergeometric0F1Regularized[b, -(z^2/4)], 
  BesselK[ν, z]*Hypergeometric0F1Regularized[1 + ν, -(z^2/4)], BesselK[-1 + b, z]*Hypergeometric0F1Regularized[b, -(z^2/4)], 
  (-2^b)*b*z^(-1 - b) + BesselK[-1 - b, z]*Hypergeometric0F1Regularized[b, z^2/4], 
  (-2^b)*b*z^(-1 - b) + BesselK[1 + b, z]*Hypergeometric0F1Regularized[b, z^2/4], 
  -2^(-1 + b)/z^b + BesselK[-b, z]*Hypergeometric0F1Regularized[b, z^2/4], 
  -2^(-1 + ν)/z^ν + BesselK[ν, z]*Hypergeometric0F1Regularized[ν, z^2/4], BesselK[ν, z]*Hypergeometric0F1Regularized[b, z^2/4], 
  (-2^(-1 - ν))*z^ν + BesselK[ν, z]*Hypergeometric0F1Regularized[-ν, z^2/4], 
  2^(-1 - ν)*z^ν*(1 + ν) + BesselK[ν, z]*Hypergeometric0F1Regularized[-1 - ν, z^2/4], 
  (2^(-1 + ν)*(1 - ν))/z^ν + BesselK[ν, z]*Hypergeometric0F1Regularized[-1 + ν, z^2/4], 
  BesselK[-b - n, z]*Hypergeometric0F1Regularized[b, z^2/4] + (-1)^(1 + n)*2^(-1 + b)*Sqrt[Pi]*Csc[b*Pi]*
    Sum1[((-1)^Floor[(1 + n)/2]*z^(-b + 2*k - n)*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/
      (k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}], BesselK[b + n, z]*Hypergeometric0F1Regularized[b, z^2/4] + 
   (-1)^(1 + n)*2^(-1 + b)*Sqrt[Pi]*Csc[b*Pi]*Sum1[((-1)^Floor[(1 + n)/2]*z^(-b + 2*k - n)*Gamma[1/2 + k - n + Floor[n/2]]*
       Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}], 
  BesselK[ν, z]*Hypergeometric0F1Regularized[-n - ν, z^2/4] + 2^(-1 - n - ν)*Sqrt[Pi]*Csc[Pi*ν]*
    Sum1[((-1)^Floor[(1 + n)/2]*z^(2*k + ν)*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/
      (k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}], BesselK[ν, z]*Hypergeometric0F1Regularized[-n + ν, z^2/4] - 
   2^(-1 - n + ν)*Sqrt[Pi]*Csc[Pi*ν]*Sum1[((-1)^Floor[(1 + n)/2]*z^(2*k - ν)*Gamma[1/2 + k - n + Floor[n/2]]*
       Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[1 + k - ν]*Gamma[k - n + ν]), {k, 0, Floor[n/2]}], 
  BesselK[-1 + b, 2*z^(1/4)]*Hypergeometric0F1Regularized[b, -Sqrt[z]], 
  BesselY[-1 + b, 2*z^(1/4)]*Hypergeometric0F1Regularized[b, Sqrt[z]], -((b*z^((1/2)*(-1 - b))*Cos[b*Pi])/Pi) + 
   BesselY[-1 - b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z], BesselY[-3 + b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z], 
  BesselY[-2 + b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z], BesselY[-1 + b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z], 
  Cos[b*Pi]/(z^(b/2)*Pi) + BesselY[-b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z], 
  1/(z^(b/2)*Pi) + BesselY[b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z], 
  (b*z^((1/2)*(-1 - b)))/Pi + BesselY[1 + b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z], 
  -((z^(ν/2)*(1 + ν)*Cos[Pi*ν])/Pi) + BesselY[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[-1 - ν, -z], 
  BesselY[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z], (-1 + ν)/(z^(ν/2)*Pi) + 
   BesselY[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[-1 + ν, -z], (z^(ν/2)*Cos[Pi*ν])/Pi + 
   BesselY[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[-ν, -z], BesselY[1 - b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, z], 
  BesselY[-1 + b, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, z], BesselY[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[1 - ν, z], 
  BesselY[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[1 + ν, z], BesselY[-b - n, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z] + 
   (z^((1/2)*(-b - n))*Cot[b*Pi]*Sum1[((-1)^(k + Floor[(1 + n)/2])*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/(2^n*Sqrt[Pi]), 
  BesselY[b + n, 2*Sqrt[z]]*Hypergeometric0F1Regularized[b, -z] + 
   ((-1)^(2 + n)*z^((1/2)*(-b - n))*Csc[b*Pi]*Sum1[((-1)^(k + Floor[(1 + n)/2])*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/(2^n*Sqrt[Pi]), 
  BesselY[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[-n - ν, -z] - 
   (z^(ν/2)*Cot[Pi*ν]*Sum1[((-1)^(k + Floor[(1 + n)/2])*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/
    (2^n*Sqrt[Pi]), BesselY[ν, 2*Sqrt[z]]*Hypergeometric0F1Regularized[-n + ν, -z] + 
   (Csc[Pi*ν]*Sum1[((-1)^(k + Floor[(1 + n)/2])*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], 
         n - Floor[n/2]])/(k!*Gamma[1 + k - ν]*Gamma[k - n + ν]), {k, 0, Floor[n/2]}])/(2^n*z^(ν/2)*Sqrt[Pi]), 
  BesselY[ν, z]*Hypergeometric0F1Regularized[1 - ν, z^2/4], BesselY[ν, z]*Hypergeometric0F1Regularized[1 + ν, z^2/4], 
  BesselY[1 - b, z]*Hypergeometric0F1Regularized[b, z^2/4], BesselY[-1 + b, z]*Hypergeometric0F1Regularized[b, z^2/4], 
  -((2^(1 + b)*b*z^(-1 - b)*Cos[b*Pi])/Pi) + BesselY[-1 - b, z]*Hypergeometric0F1Regularized[b, -(z^2/4)], 
  (2^b*Cos[b*Pi])/(z^b*Pi) + BesselY[-b, z]*Hypergeometric0F1Regularized[b, -(z^2/4)], 
  (2^(-1 + b)*Cos[b*Pi])/(z^b*Pi) + BesselY[-b, z]*Hypergeometric0F1Regularized[b, -(z^2/4)], 
  (2^(1 + b)*b*z^(-1 - b))/Pi + BesselY[1 + b, z]*Hypergeometric0F1Regularized[b, -(z^2/4)], 
  BesselY[ν, z]*Hypergeometric0F1Regularized[b, -(z^2/4)], (z^ν*Cos[Pi*ν])/(2^ν*Pi) + 
   BesselY[ν, z]*Hypergeometric0F1Regularized[-ν, -(z^2/4)], (2^(-1 - ν)*z^ν*Cos[Pi*ν])/Pi + 
   BesselY[ν, z]*Hypergeometric0F1Regularized[-ν, -(z^2/4)], 
  2^ν/(z^ν*Pi) + BesselY[ν, z]*Hypergeometric0F1Regularized[ν, -(z^2/4)], -((z^ν*(1 + ν)*Cos[Pi*ν])/(2^ν*Pi)) + 
   BesselY[ν, z]*Hypergeometric0F1Regularized[-1 - ν, -(z^2/4)], (2^ν*(-1 + ν))/(z^ν*Pi) + 
   BesselY[ν, z]*Hypergeometric0F1Regularized[-1 + ν, -(z^2/4)], BesselY[-b - n, z]*Hypergeometric0F1Regularized[b, -(z^2/4)] + 
   (2^b*z^(-b - n)*Cot[b*Pi]*Sum1[((-1)^(k + Floor[(1 + n)/2])*z^(2*k)*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  BesselY[b + n, z]*Hypergeometric0F1Regularized[b, -(z^2/4)] + 
   ((-1)^n*2^b*z^(-b - n)*Csc[b*Pi]*Sum1[((-1)^(k + Floor[(1 + n)/2])*z^(2*k)*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  BesselY[ν, z]*Hypergeometric0F1Regularized[-n - ν, -(z^2/4)] - 
   (2^(-n - ν)*z^ν*Cot[Pi*ν]*Sum1[((-1)^(k + Floor[(1 + n)/2])*z^(2*k)*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[k - n - ν]*Gamma[1 + k + ν]), {k, 0, Floor[n/2]}])/Sqrt[Pi], 
  BesselY[ν, z]*Hypergeometric0F1Regularized[-n + ν, -(z^2/4)] + 
   (2^(-n + ν)*Csc[Pi*ν]*Sum1[((-1)^(k + Floor[(1 + n)/2])*z^(2*k)*Gamma[1/2 + k - n + Floor[n/2]]*
        Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/(k!*Gamma[1 + k - ν]*Gamma[k - n + ν]), {k, 0, Floor[n/2]}])/
    (z^ν*Sqrt[Pi]), Hypergeometric0F1Regularized[b, -(z^2/4)]*SphericalBesselJ[ν, z], 
  Hypergeometric0F1Regularized[1/2 - ν, z^2/4]*SphericalBesselJ[ν, z], Hypergeometric0F1Regularized[3/2 + ν, z^2/4]*
   SphericalBesselJ[ν, z], Hypergeometric0F1[2 - b, -z]*Hypergeometric0F1Regularized[b, z], 
  Hypergeometric0F1[b, z]*Hypergeometric0F1Regularized[2 - b, -z], Hypergeometric0F1[b, -z]*Hypergeometric0F1Regularized[b, z], 
  Hypergeometric0F1[b, z]*Hypergeometric0F1Regularized[b, -z], Hypergeometric0F1[c, z]*Hypergeometric0F1Regularized[b, z], 
  Hypergeometric0F1[-1 + b, z]*Hypergeometric0F1Regularized[b, z], Hypergeometric0F1[1 + b, z]*Hypergeometric0F1Regularized[b, z], 
  -(1/Gamma[b]) + Hypergeometric0F1[1 - b, z]*Hypergeometric0F1Regularized[b, z], 
  Hypergeometric0F1[2 - b, z]*Hypergeometric0F1Regularized[b, z], 
  -(1/Gamma[b]) + Hypergeometric0F1[-b, z]*Hypergeometric0F1Regularized[b, z], 
  Hypergeometric0F1[b, z]*Hypergeometric0F1Regularized[b, z], Hypergeometric0F1[b, z]*Hypergeometric0F1Regularized[-1 + b, z], 
  Hypergeometric0F1[b, z]*Hypergeometric0F1Regularized[1 + b, z], 
  -(1/Gamma[1 - b]) + Hypergeometric0F1[b, z]*Hypergeometric0F1Regularized[1 - b, z], 
  Hypergeometric0F1[b, z]*Hypergeometric0F1Regularized[2 - b, z], 
  -(1/Gamma[-b]) + Hypergeometric0F1[b, z]*Hypergeometric0F1Regularized[-b, z], 
  Hypergeometric0F1[b, z]*Hypergeometric0F1Regularized[1 - b - n, z] - 
   (Gamma[b]*Sum1[((-1)^Floor[(1 + n)/2]*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/
       (k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}])/(2^n*Sqrt[Pi]), Hypergeometric0F1Regularized[b, z]^2, 
  Hypergeometric0F1Regularized[2 - b, -z]*Hypergeometric0F1Regularized[b, z], Hypergeometric0F1Regularized[b, -z]*
   Hypergeometric0F1Regularized[b, z], Hypergeometric0F1Regularized[b, z]*Hypergeometric0F1Regularized[c, z], 
  Hypergeometric0F1Regularized[-1 + b, z]*Hypergeometric0F1Regularized[b, z], 
  Hypergeometric0F1Regularized[b, z]*Hypergeometric0F1Regularized[1 + b, z], 
  Hypergeometric0F1Regularized[1 - b, z]*Hypergeometric0F1Regularized[b, z] - Sin[b*Pi]/Pi, 
  Hypergeometric0F1Regularized[2 - b, z]*Hypergeometric0F1Regularized[b, z], 
  Hypergeometric0F1Regularized[-b, z]*Hypergeometric0F1Regularized[b, z] + (b*Sin[b*Pi])/Pi, 
  Hypergeometric0F1Regularized[b, z]*Hypergeometric0F1Regularized[1 - b - n, z] - 
   Sum1[((-1)^Floor[(1 + n)/2]*4^k*z^k*Gamma[1/2 + k - n + Floor[n/2]]*Pochhammer[1 - k + Floor[n/2], n - Floor[n/2]])/
      (k!*Gamma[b + k]*Gamma[1 - b + k - n]), {k, 0, Floor[n/2]}]/(2^n*Sqrt[Pi]), Hypergeometric1F1[a, b, z], 
  -Hypergeometric1F1[a, b, -z] + Hypergeometric1F1[a, b, z], Hypergeometric1F1[a, b, -z] + Hypergeometric1F1[a, b, z], 
  -Hypergeometric1F1[a, b, -Sqrt[z]] + Hypergeometric1F1[a, b, Sqrt[z]], Hypergeometric1F1[a, b, -Sqrt[z]] + 
   Hypergeometric1F1[a, b, Sqrt[z]], Hypergeometric1F1[a, b, z] - Sum1[(z^k*Pochhammer[a, k])/(k!*Pochhammer[b, k]), {k, 0, n}], 
  -1 + Hypergeometric1F1[a, b, z], -1 - (a*z)/b + Hypergeometric1F1[a, b, z], -1 - (a*z)/b - (a*(1 + a)*z^2)/(2*b*(1 + b)) + 
   Hypergeometric1F1[a, b, z], Hypergeometric1F1[a, b, z]/E^z, (Cosh[z/2]*Hypergeometric1F1[a, b, z])/E^(z/2), 
  (Cosh[z]*Hypergeometric1F1[a, b, 2*z])/E^z, (Hypergeometric1F1[a, b, z]*Sinh[z/2])/E^(z/2), 
  (Hypergeometric1F1[a, b, 2*z]*Sinh[z])/E^z, Hypergeometric1F1[a, 1, z]*LaguerreL[-a, -z], 
  Hypergeometric1F1[-ν, 1, -z]*LaguerreL[ν, z], Hypergeometric1F1[a, b, z]*LaguerreL[-a, -1 + b, -z], 
  Hypergeometric1F1[-ν, 1 + λ, -z]*LaguerreL[ν, λ, z], (Hypergeometric1F1[a, 1, z]*LaguerreL[-1 + a, z])/E^z, 
  (Hypergeometric1F1[1 + ν, 1, z]*LaguerreL[ν, z])/E^z, (Hypergeometric1F1[a, b, z]*LaguerreL[a - b, -1 + b, z])/E^z, 
  (Hypergeometric1F1[1 + λ + ν, 1 + λ, z]*LaguerreL[ν, λ, z])/E^z, Hypergeometric1F1[a, b, -z]*Hypergeometric1F1[a, b, z], 
  Hypergeometric1F1[a, 2*a, z]*Hypergeometric1F1[c, 2*c, -z], (Hypergeometric1F1[a, b, z]*Hypergeometric1F1[-a + b, b, z])/E^z, 
  (Hypergeometric1F1[a, 2*a, z]*Hypergeometric1F1[c, 2*c, z])/E^z, Hypergeometric1F1Regularized[a, b, z], 
  -(1/Gamma[b]) + Hypergeometric1F1Regularized[a, b, z], -Hypergeometric1F1Regularized[a, b, -z] + 
   Hypergeometric1F1Regularized[a, b, z], Hypergeometric1F1Regularized[a, b, -z] + Hypergeometric1F1Regularized[a, b, z], 
  -Hypergeometric1F1Regularized[a, b, -Sqrt[z]] + Hypergeometric1F1Regularized[a, b, Sqrt[z]], 
  Hypergeometric1F1Regularized[a, b, -Sqrt[z]] + Hypergeometric1F1Regularized[a, b, Sqrt[z]], 
  Hypergeometric1F1Regularized[a, b, z]/E^z, (Cosh[z/2]*Hypergeometric1F1Regularized[a, b, z])/E^(z/2), 
  (Cosh[z]*Hypergeometric1F1Regularized[a, b, 2*z])/E^z, (Hypergeometric1F1Regularized[a, b, z]*Sinh[z/2])/E^(z/2), 
  (Hypergeometric1F1Regularized[a, b, 2*z]*Sinh[z])/E^z, Hypergeometric1F1Regularized[a, b, z]*LaguerreL[-a, -1 + b, -z], 
  Hypergeometric1F1Regularized[-ν, 1 + λ, -z]*LaguerreL[ν, λ, z], 
  (Hypergeometric1F1Regularized[a, b, z]*LaguerreL[a - b, -1 + b, z])/E^z, 
  (Hypergeometric1F1Regularized[1 + λ + ν, 1 + λ, z]*LaguerreL[ν, λ, z])/E^z, 
  Hypergeometric1F1[a, b, z]*Hypergeometric1F1Regularized[a, b, -z], Hypergeometric1F1[a, b, -z]*
   Hypergeometric1F1Regularized[a, b, z], Hypergeometric1F1[a, 2*a, z]*Hypergeometric1F1Regularized[c, 2*c, -z], 
  Hypergeometric1F1[a, 2*a, -z]*Hypergeometric1F1Regularized[c, 2*c, z], 
  (Hypergeometric1F1[c, 2*c, z]*Hypergeometric1F1Regularized[a, 2*a, z])/E^z, 
  (Hypergeometric1F1[-a + b, b, z]*Hypergeometric1F1Regularized[a, b, z])/E^z, 
  (Hypergeometric1F1[a, b, z]*Hypergeometric1F1Regularized[-a + b, b, z])/E^z, 
  (Hypergeometric1F1[a, 2*a, z]*Hypergeometric1F1Regularized[c, 2*c, z])/E^z, Hypergeometric1F1Regularized[a, b, -z]*
   Hypergeometric1F1Regularized[a, b, z], Hypergeometric1F1Regularized[a, 2*a, z]*Hypergeometric1F1Regularized[c, 2*c, -z], 
  (Hypergeometric1F1Regularized[a, b, z]*Hypergeometric1F1Regularized[-a + b, b, z])/E^z, 
  (Hypergeometric1F1Regularized[a, 2*a, z]*Hypergeometric1F1Regularized[c, 2*c, z])/E^z, HypergeometricU[a, b, z], 
  -HypergeometricU[a, b, -z] + HypergeometricU[a, b, z], HypergeometricU[a, b, -z] + HypergeometricU[a, b, z], 
  HypergeometricU[a, b, z]/E^z, (Cosh[z/2]*HypergeometricU[a, b, z])/E^(z/2), (Cosh[z]*HypergeometricU[a, b, 2*z])/E^z, 
  (HypergeometricU[a, b, z]*Sinh[z/2])/E^(z/2), (HypergeometricU[a, b, 2*z]*Sinh[z])/E^z, 
  HypergeometricU[a, 1, z]*LaguerreL[-a, -z], HypergeometricU[-ν, 1, -z]*LaguerreL[ν, z], 
  HypergeometricU[a, b, z]*LaguerreL[-a, -1 + b, -z], HypergeometricU[-ν, 1 + λ, -z]*LaguerreL[ν, λ, z], 
  (HypergeometricU[a, 1, z]*LaguerreL[-1 + a, z])/E^z, (HypergeometricU[1 + ν, 1, z]*LaguerreL[ν, z])/E^z, 
  (HypergeometricU[a, b, z]*LaguerreL[a - b, -1 + b, z])/E^z, (HypergeometricU[1 + λ + ν, 1 + λ, z]*LaguerreL[ν, λ, z])/E^z, 
  Hypergeometric1F1[a, b, z]*HypergeometricU[a, b, -z], Hypergeometric1F1[a, b, -z]*HypergeometricU[a, b, z], 
  Hypergeometric1F1[a, b, -Sqrt[z]]*HypergeometricU[a, b, Sqrt[z]], (Hypergeometric1F1[a, b, z]*HypergeometricU[-a + b, b, z])/E^z, 
  (Hypergeometric1F1[-a + b, b, z]*HypergeometricU[a, b, z])/E^z, 
  (Hypergeometric1F1[-a + b, b, Sqrt[z]]*HypergeometricU[a, b, Sqrt[z]])/E^Sqrt[z], 
  (Hypergeometric1F1[a, b, Sqrt[z]]*HypergeometricU[-a + b, b, Sqrt[z]])/E^Sqrt[z], 
  Hypergeometric1F1Regularized[a, b, z]*HypergeometricU[a, b, -z], Hypergeometric1F1Regularized[a, b, -z]*HypergeometricU[a, b, z], 
  Hypergeometric1F1Regularized[a, b, -Sqrt[z]]*HypergeometricU[a, b, Sqrt[z]], 
  (Hypergeometric1F1Regularized[a, b, z]*HypergeometricU[-a + b, b, z])/E^z, 
  (Hypergeometric1F1Regularized[-a + b, b, z]*HypergeometricU[a, b, z])/E^z, 
  (Hypergeometric1F1Regularized[a, b, Sqrt[z]]*HypergeometricU[-a + b, b, Sqrt[z]])/E^Sqrt[z], 
  (Hypergeometric1F1Regularized[-a + b, b, Sqrt[z]]*HypergeometricU[a, b, Sqrt[z]])/E^Sqrt[z], 
  HypergeometricU[a, b, -z]*HypergeometricU[a, b, z], HypergeometricU[a, b, -z]*HypergeometricU[1 + a - b, 2 - b, z], 
  (HypergeometricU[a, b, z]*HypergeometricU[-a + b, b, z])/E^z, WhittakerM[ν, μ, z]/E^(z/2), E^(z/2)*WhittakerM[ν, μ, z], 
  -z^(1/2 + μ) + E^(z/2)*WhittakerM[ν, μ, z], (-E^(-z/2))*WhittakerM[-ν, μ, z] + E^(z/2)*WhittakerM[ν, μ, z], 
  WhittakerM[-ν, μ, z]/E^(z/2) + E^(z/2)*WhittakerM[ν, μ, z], WhittakerM[ν, μ, 2*z]/E^z, E^z*WhittakerM[ν, μ, 2*z], 
  (-E^(-z))*WhittakerM[-ν, μ, 2*z] + E^z*WhittakerM[ν, μ, 2*z], WhittakerM[-ν, μ, 2*z]/E^z + E^z*WhittakerM[ν, μ, 2*z], 
  Cosh[z]*WhittakerM[ν, μ, 2*z], Cosh[z/2]*WhittakerM[ν, μ, z], Sinh[z]*WhittakerM[ν, μ, 2*z], 
  Sinh[z/2]*WhittakerM[ν, μ, z], WhittakerM[0, γ, -z]*WhittakerM[0, μ, z], WhittakerM[0, γ, z]*WhittakerM[0, μ, z], 
  WhittakerM[ν, μ, (-I)*Sqrt[z]]*WhittakerM[ν, μ, I*Sqrt[z]], WhittakerM[-ν, μ, Sqrt[z]]*WhittakerM[ν, μ, Sqrt[z]], 
  WhittakerM[-ν, μ, z]*WhittakerM[ν, μ, z], WhittakerM[ν, μ, -z]*WhittakerM[ν, μ, z], 
  (LaguerreL[-(1/2) - ν, z]*WhittakerM[ν, 0, z])/E^(z/2), E^(z/2)*LaguerreL[-(1/2) + ν, -z]*WhittakerM[ν, 0, z], 
  E^(z/2)*LaguerreL[λ, -1 - 2*λ, -z]*WhittakerM[0, μ, z], (LaguerreL[λ, -1 - 2*λ, z]*WhittakerM[0, μ, z])/E^(z/2), 
  (LaguerreL[-(1/2) - μ - ν, 2*μ, z]*WhittakerM[ν, μ, z])/E^(z/2), E^(z/2)*LaguerreL[-(1/2) - μ + ν, 2*μ, -z]*
   WhittakerM[ν, μ, z], E^(z/2)*Hypergeometric1F1[c, 2*c, -z]*WhittakerM[0, μ, z], 
  (Hypergeometric1F1[c, 2*c, z]*WhittakerM[0, μ, z])/E^(z/2), E^(z/2)*Hypergeometric1F1[1/2 + μ - ν, 1 + 2*μ, -z]*
   WhittakerM[ν, μ, z], (Hypergeometric1F1[1/2 + μ + ν, 1 + 2*μ, z]*WhittakerM[ν, μ, z])/E^(z/2), 
  E^(z/2)*Hypergeometric1F1Regularized[c, 2*c, -z]*WhittakerM[0, μ, z], 
  (Hypergeometric1F1Regularized[c, 2*c, z]*WhittakerM[0, μ, z])/E^(z/2), 
  E^(z/2)*Hypergeometric1F1Regularized[1/2 + μ - ν, 1 + 2*μ, -z]*WhittakerM[ν, μ, z], 
  (Hypergeometric1F1Regularized[1/2 + μ + ν, 1 + 2*μ, z]*WhittakerM[ν, μ, z])/E^(z/2), 
  (HypergeometricU[1/2 + μ - ν, 1 + 2*μ, Sqrt[z]]*WhittakerM[ν, μ, -Sqrt[z]])/E^(Sqrt[z]/2), 
  (HypergeometricU[1/2 + μ + ν, 1 + 2*μ, Sqrt[z]]*WhittakerM[ν, μ, Sqrt[z]])/E^(Sqrt[z]/2), 
  (HypergeometricU[1/2 + μ - ν, 1 + 2*μ, z]*WhittakerM[ν, μ, -z])/E^(z/2), E^(z/2)*HypergeometricU[1/2 + μ - ν, 1 + 2*μ, -z]*
   WhittakerM[ν, μ, z], (HypergeometricU[1/2 + μ + ν, 1 + 2*μ, z]*WhittakerM[ν, μ, z])/E^(z/2), 
  Cosh[z/2]*WhittakerW[ν, μ, z], Cosh[z]*WhittakerW[ν, μ, 2*z], Sinh[z/2]*WhittakerW[ν, μ, z], 
  Sinh[z]*WhittakerW[ν, μ, 2*z], WhittakerW[ν, μ, z]/E^(z/2), E^(z/2)*WhittakerW[ν, μ, z], WhittakerW[ν, μ, 2*z]/E^z, 
  E^z*WhittakerW[ν, μ, 2*z], WhittakerM[-ν, μ, z]*WhittakerW[ν, -μ, z], WhittakerM[-ν, -μ, z]*WhittakerW[ν, μ, z], 
  WhittakerM[-ν, μ, z]*WhittakerW[ν, μ, z], WhittakerM[ν, -μ, -z]*WhittakerW[ν, μ, z], 
  WhittakerM[ν, μ, -z]*WhittakerW[ν, μ, z], WhittakerM[-ν, μ, Sqrt[z]]*WhittakerW[ν, μ, Sqrt[z]], 
  WhittakerM[ν, μ, -Sqrt[z]]*WhittakerW[ν, μ, Sqrt[z]], WhittakerW[ν, -μ, z]*WhittakerW[ν, μ, -z], 
  WhittakerW[-ν, μ, z]*WhittakerW[ν, μ, z], WhittakerW[ν, -μ, -z]*WhittakerW[ν, μ, z], 
  WhittakerW[ν, μ, -z]*WhittakerW[ν, μ, z], WhittakerW[ν, -μ, Sqrt[z]]*WhittakerW[ν, μ, -Sqrt[z]], 
  WhittakerW[ν, μ, (-I)*Sqrt[z]]*WhittakerW[ν, μ, I*Sqrt[z]], WhittakerW[ν, -μ, -Sqrt[z]]*WhittakerW[ν, μ, Sqrt[z]], 
  WhittakerW[ν, μ, -Sqrt[z]]*WhittakerW[ν, μ, Sqrt[z]], (LaguerreL[-(1/2) - ν, z]*WhittakerW[ν, 0, z])/E^(z/2), 
  E^(z/2)*LaguerreL[-(1/2) + ν, -z]*WhittakerW[ν, 0, z], (LaguerreL[-(1/2) - μ - ν, 2*μ, z]*WhittakerW[ν, μ, z])/E^(z/2), 
  E^(z/2)*LaguerreL[-(1/2) - μ + ν, 2*μ, -z]*WhittakerW[ν, μ, z], 
  E^(Sqrt[z]/2)*Hypergeometric1F1[1/2 + μ - ν, 1 + 2*μ, -Sqrt[z]]*WhittakerW[ν, μ, Sqrt[z]], 
  (Hypergeometric1F1[1/2 + μ + ν, 1 + 2*μ, Sqrt[z]]*WhittakerW[ν, μ, Sqrt[z]])/E^(Sqrt[z]/2), 
  E^(z/2)*Hypergeometric1F1[1/2 + μ - ν, 1 + 2*μ, -z]*WhittakerW[ν, μ, z], 
  (Hypergeometric1F1[1/2 + μ + ν, 1 + 2*μ, z]*WhittakerW[ν, μ, z])/E^(z/2), 
  E^(Sqrt[z]/2)*Hypergeometric1F1Regularized[1/2 + μ - ν, 1 + 2*μ, -Sqrt[z]]*WhittakerW[ν, μ, Sqrt[z]], 
  (Hypergeometric1F1Regularized[1/2 + μ + ν, 1 + 2*μ, Sqrt[z]]*WhittakerW[ν, μ, Sqrt[z]])/E^(Sqrt[z]/2), 
  E^(z/2)*Hypergeometric1F1Regularized[1/2 + μ - ν, 1 + 2*μ, -z]*WhittakerW[ν, μ, z], 
  (Hypergeometric1F1Regularized[1/2 + μ + ν, 1 + 2*μ, z]*WhittakerW[ν, μ, z])/E^(z/2), 
  E^(z/2)*HypergeometricU[1/2 - μ - ν, 1 - 2*μ, -z]*WhittakerW[ν, μ, z], E^(z/2)*HypergeometricU[1/2 + μ - ν, 1 + 2*μ, -z]*
   WhittakerW[ν, μ, z], Hypergeometric2F1[a, b, c, 1 - z], Hypergeometric2F1[a, b, c, -z], Hypergeometric2F1[a, b, c, z], 
  -Hypergeometric2F1[a, b, c, -z] + Hypergeometric2F1[a, b, c, z], Hypergeometric2F1[a, b, c, -z] + Hypergeometric2F1[a, b, c, z], 
  Hypergeometric2F1[a, b, c, z] - Sum1[(z^k*Pochhammer[a, k]*Pochhammer[b, k])/(k!*Pochhammer[c, k]), {k, 0, n}], 
  -1 + Hypergeometric2F1[a, b, c, z], -1 - (a*b*z)/c + Hypergeometric2F1[a, b, c, z], 
  -1 - (a*b*z)/c - (a*(1 + a)*b*(1 + b)*z^2)/(2*c*(1 + c)) + Hypergeometric2F1[a, b, c, z], 
  (1 - z)*Hypergeometric2F1[a, b, a + (1/2)*(-1 + b), z], (1 - z)*Hypergeometric2F1[a, b, 1 + a - b, z], 
  (1 - z)^(2*b)*Hypergeometric2F1[a, b, 1 + a - b, z], Hypergeometric2F1[a, b, 1 + a + 2*b, z]/(1 - z)^b, 
  (1 - z)^(-1 + c)*Hypergeometric2F1[a, b, c, 1 - z], (1 - z)^(a + b - c)*Hypergeometric2F1[a, b, c, z], 
  Hypergeometric2F1[1/6 - a, a, 1/2, -((z*(9 + 8*z)^2)/(27*(1 + z)))]/(1 + z)^a, 
  Hypergeometric2F1[1/6 - a, a, 1/2, -((8 + 9*z)^2/(27*z^2*(1 + z)))]/(1 + z)^a, 
  (1 + z)^(1 - a)*Hypergeometric2F1[1 - a, a, c, z/(1 + z)], ((9 + z)*Hypergeometric2F1[a, 1/3 + a, 3/2, (z*(9 + z)^2)/(-3 + z)^3])/
   (3 - z)^(3*a), ((9 + 8*z)*Hypergeometric2F1[a, 1/3 + a, 3/2, (z*(9 + 8*z)^2)/(3 + 4*z)^3])/(3 + 4*z)^(3*a), 
  ((1 + 9*z)*Hypergeometric2F1[a, 1/3 + a, 3/2, (1 + 9*z)^2/(1 - 3*z)^3])/(-1 + 3*z)^(3*a), 
  ((8 + 9*z)*Hypergeometric2F1[a, 1/3 + a, 3/2, (8 + 9*z)^2/(4 + 3*z)^3])/(4 + 3*z)^(3*a), 
  Hypergeometric2F1[a, 1/3 + a, 5/6 + 2*a, (27*z^2)/(4 + z)^3]/(4 + z)^(3*a), 
  Hypergeometric2F1[a, 1/3 + a, 5/6 + 2*a, (27*z)/(1 + 4*z)^3]/(1 + 4*z)^(3*a), Hypergeometric2F1[a, 1/2 + a, c, (4*z)/(1 + z)^2]/
   (1 + z)^(2*a), ((-1 + z)^2/(1 + z)^2)^(1/2 + 2*a - c)*(1 + z)^(1 + 2*a - 2*c)*Hypergeometric2F1[a, 1/2 + a, c, (4*z)/(1 + z)^2], 
  Hypergeometric2F1[a, 1 + 2*a, c, z/(1 + z)]/(1 + z)^(2*a), Hypergeometric2F1[a, b, 2*b, -((4*z)/(-1 + z)^2)]/
   (((-1 + z)^2/(1 + z)^2)^a*(1 + z)^(2*a)), ((1 + z)^(2*(a - 2*b))*Hypergeometric2F1[a, b, 2*b, -((4*z)/(-1 + z)^2)])/
   ((1 - z)^2/(1 + z)^2)^b, Hypergeometric2F1[a, b, 2*b, (4*z)/(1 + z)^2]/(1 + z)^(2*a), 
  ((-1 + z)^2/(1 + z)^2)^(a - b)*(1 + z)^(2*(a - 2*b))*Hypergeometric2F1[a, b, 2*b, (4*z)/(1 + z)^2], 
  ((1 + z)^(1 - 2*a)*Hypergeometric2F1[a, b, -(1/2) + a + b, -((4*z)/(-1 + z)^2)])/((-1 + z)^2/(1 + z)^2)^a, 
  Hypergeometric2F1[a, b, 1/2 + a + b, -((4*z)/(-1 + z)^2)]/(((-1 + z)^2/(1 + z)^2)^a*(1 + z)^(2*a)), 
  (1 + z)^(1 - a)*Hypergeometric2F1[a, b, (1/2)*(1 + a + b), z/(1 + z)], 
  (1 + z)^(1 - b)*Hypergeometric2F1[a, b, -1 - a + 2*b, z/(1 + z)], (1 - z)^(-1 + c)*Hypergeometric2F1[a, b, c, (-1 + z)/z], 
  Hypergeometric2F1[a, b, c, z/(1 + z)]/(1 + z)^a, Hypergeometric2F1[a, b, c, z/(1 + z)]/(1 + z)^b, 
  (z + Sqrt[1 + z^2])^(2 + a - 2*c)*Hypergeometric2F1[1, a, c, (z - Sqrt[1 + z^2])/(2*z)], 
  (z + Sqrt[1 + z^2])^(1 - a - c)*Hypergeometric2F1[1, a, c, (-z + Sqrt[1 + z^2])/(z + Sqrt[1 + z^2])], 
  (1 + Sqrt[1 - z])^(2 + b - 2*c)*Hypergeometric2F1[1, b, c, (1/2)*(1 - Sqrt[1 - z])], 
  (1 + Sqrt[1 - z])^(1 - b - c)*Hypergeometric2F1[1, b, c, (-1 + Sqrt[1 - z])/(1 + Sqrt[1 - z])], 
  (-1 + Sqrt[1 + z])^(-1 + b + c)*Hypergeometric2F1[1, b, c, (2 + z - 2*Sqrt[1 + z])/z], 
  (-1 + Sqrt[1 + z])^(-2 - b + 2*c)*Hypergeometric2F1[1, b, c, (2 + z - 2*Sqrt[1 + z])/(2 - 2*Sqrt[1 + z])], 
  (Sqrt[z] + Sqrt[1 + z])^(2 + b - 2*c)*Hypergeometric2F1[1, b, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (Sqrt[z] + Sqrt[1 + z])^(1 - b - c)*Hypergeometric2F1[1, b, c, (-Sqrt[z] + Sqrt[1 + z])/(Sqrt[z] + Sqrt[1 + z])], 
  (-Sqrt[z] + Sqrt[1 + z])^(-1 + b + c)*Hypergeometric2F1[1, b, c, 1 + 2*z - 2*Sqrt[z]*Sqrt[1 + z]], 
  (-Sqrt[z] + Sqrt[1 + z])^(-2 - b + 2*c)*Hypergeometric2F1[1, b, c, (1 + 2*z - 2*Sqrt[z]*Sqrt[1 + z])/
     (2*z - 2*Sqrt[z]*Sqrt[1 + z])], (-z + Sqrt[1 + z^2])^(-1 + b + c)*Hypergeometric2F1[1, b, c, 1 + 2*z^2 - 2*z*Sqrt[1 + z^2]], 
  (-z + Sqrt[1 + z^2])^(-2 - b + 2*c)*Hypergeometric2F1[1, b, c, (1 + 2*z^2 - 2*z*Sqrt[1 + z^2])/(2*z^2 - 2*z*Sqrt[1 + z^2])], 
  (-Sqrt[z] + Sqrt[1 + z])^(2*a)*Hypergeometric2F1[a, b, 1 + a, 1 + 2*z - 2*Sqrt[z]*Sqrt[1 + z]], 
  (-Sqrt[z] + Sqrt[1 + z])^a*Hypergeometric2F1[a, b, 1 + a, (1 + 2*z - 2*Sqrt[z]*Sqrt[1 + z])/(2*z - 2*Sqrt[z]*Sqrt[1 + z])], 
  (-z + Sqrt[1 + z^2])^(2*a)*Hypergeometric2F1[a, b, 1 + a, 1 + 2*z^2 - 2*z*Sqrt[1 + z^2]], 
  (-z + Sqrt[1 + z^2])^a*Hypergeometric2F1[a, b, 1 + a, (1 + 2*z^2 - 2*z*Sqrt[1 + z^2])/(2*z^2 - 2*z*Sqrt[1 + z^2])], 
  Hypergeometric2F1[a, b, 2*b, -((4*Sqrt[z])/(-1 + Sqrt[z])^2)]/(((-1 + Sqrt[z])^2/(1 + Sqrt[z])^2)^a*(1 + Sqrt[z])^(2*a)), 
  ((1 + Sqrt[z])^(2*(a - 2*b))*Hypergeometric2F1[a, b, 2*b, -((4*Sqrt[z])/(-1 + Sqrt[z])^2)])/((-1 + Sqrt[z])^2/(1 + Sqrt[z])^2)^b, 
  Hypergeometric2F1[a, b, 2*b, (4*Sqrt[z])/(1 + Sqrt[z])^2]/(1 + Sqrt[z])^(2*a), 
  ((-1 + Sqrt[z])^2/(1 + Sqrt[z])^2)^(a - b)*(1 + Sqrt[z])^(2*(a - 2*b))*Hypergeometric2F1[a, b, 2*b, (4*Sqrt[z])/(1 + Sqrt[z])^2], 
  Hypergeometric2F1[a, b, 1 + b, (1/2)*(1 - Sqrt[1 - z])]/(1 + Sqrt[1 - z])^b, 
  (-1 + Sqrt[1 + z])^(2*b)*Hypergeometric2F1[a, b, 1 + b, (2 + z - 2*Sqrt[1 + z])/z], 
  (-1 + Sqrt[1 + z])^b*Hypergeometric2F1[a, b, 1 + b, (2 + z - 2*Sqrt[1 + z])/(2 - 2*Sqrt[1 + z])], 
  Hypergeometric2F1[a, b, 1 + b, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]/(Sqrt[z] + Sqrt[1 + z])^b, 
  Hypergeometric2F1[a, b, 1 + b, (-Sqrt[z] + Sqrt[1 + z])/(Sqrt[z] + Sqrt[1 + z])]/(Sqrt[z] + Sqrt[1 + z])^(2*b), 
  Hypergeometric2F1[a, b, 1 + b, (z - Sqrt[1 + z^2])/(2*z)]/(z + Sqrt[1 + z^2])^b, 
  Hypergeometric2F1[a, b, 1 + b, (-z + Sqrt[1 + z^2])/(z + Sqrt[1 + z^2])]/(z + Sqrt[1 + z^2])^(2*b), 
  Hypergeometric2F1[a, b, c, -z]*UnitStep[1 - Abs[z]], Hypergeometric2F1[a, b, c, z]*UnitStep[1 - Abs[z]], 
  Hypergeometric2F1[a, b, c, -(1/z)]*UnitStep[-1 + Abs[z]], Hypergeometric2F1[a, b, c, 1/z]*UnitStep[-1 + Abs[z]], 
  (1 - z)^(-1 + c)*Hypergeometric2F1[a, b, c, 1 - z]*UnitStep[1 - Abs[z]], (1 - z)^(-1 + c)*Hypergeometric2F1[a, b, c, (-1 + z)/z]*
   UnitStep[1 - Abs[z]], (1 + z)^(a + b - c)*Hypergeometric2F1[a, b, c, -z]*UnitStep[1 - Abs[z]], 
  (1 - z)^(a + b - c)*Hypergeometric2F1[a, b, c, z]*UnitStep[1 - Abs[z]], 
  (Hypergeometric2F1[a, b, c, z/(-1 + z)]*UnitStep[1 - Abs[z]])/(1 - z)^a, 
  (Hypergeometric2F1[a, b, c, z/(-1 + z)]*UnitStep[1 - Abs[z]])/(1 - z)^b, 
  (Hypergeometric2F1[a, b, c, z/(1 + z)]*UnitStep[1 - Abs[z]])/(1 + z)^a, 
  (Hypergeometric2F1[a, b, c, z/(1 + z)]*UnitStep[1 - Abs[z]])/(1 + z)^b, 
  (Hypergeometric2F1[a, b, c, 1/(1 - z)]*UnitStep[-1 + Abs[z]])/(-1 + z)^a, 
  (Hypergeometric2F1[a, b, c, 1/(1 - z)]*UnitStep[-1 + Abs[z]])/(-1 + z)^b, (-1 + z)^(-1 + c)*Hypergeometric2F1[a, b, c, 1 - z]*
   UnitStep[-1 + Abs[z]], (1 + z)^(a + b - c)*Hypergeometric2F1[a, b, c, -(1/z)]*UnitStep[-1 + Abs[z]], 
  (-1 + z)^(a + b - c)*Hypergeometric2F1[a, b, c, 1/z]*UnitStep[-1 + Abs[z]], 
  (-1 + z)^(-1 + c)*Hypergeometric2F1[a, b, c, (-1 + z)/z]*UnitStep[-1 + Abs[z]], 
  (Hypergeometric2F1[a, b, c, 1/(1 + z)]*UnitStep[-1 + Abs[z]])/(1 + z)^a, 
  (Hypergeometric2F1[a, b, c, 1/(1 + z)]*UnitStep[-1 + Abs[z]])/(1 + z)^b, 
  Hypergeometric2F1[a, b, 2*b, -((4*Sqrt[z])/(-1 + Sqrt[z])^2)]/((1 - Sqrt[z])*Sign[1 - Abs[z]])^(2*a), 
  (Hypergeometric2F1[a, b, 2*b, (4*Sqrt[z])/(1 + Sqrt[z])^2]*((1 - Sqrt[z])*Sign[1 - Abs[z]])^(2*a - 2*b))/(1 + Sqrt[z])^(2*b), 
  ((1 + Sqrt[z])^(2*a - 2*b)*Hypergeometric2F1[a, b, 2*b, -((4*Sqrt[z])/(-1 + Sqrt[z])^2)])/((1 - Sqrt[z])*Sign[1 - Abs[z]])^(2*b), 
  Hypergeometric2F1[a, b, 2*b, -((4*z)/(-1 + z)^2)]/((1 - z)*Sign[1 - Abs[z]])^(2*a), 
  ((1 + z)*Hypergeometric2F1[a, b, -(1/2) + a + b, -((4*z)/(-1 + z)^2)])/((1 - z)*Sign[1 - Abs[z]])^(2*a), 
  Hypergeometric2F1[a, b, 1/2 + a + b, -((4*z)/(-1 + z)^2)]/((1 - z)*Sign[1 - Abs[z]])^(2*a), 
  (Hypergeometric2F1[a, b, 2*b, (4*z)/(1 + z)^2]*((1 - z)*Sign[1 - Abs[z]])^(2*a - 2*b))/(1 + z)^(2*b), 
  ((1 + z)^(2*a - 2*b)*Hypergeometric2F1[a, b, 2*b, -((4*z)/(-1 + z)^2)])/((1 - z)*Sign[1 - Abs[z]])^(2*b), 
  ((1 + z)*Hypergeometric2F1[a, b, -(1/2) + a + b, -((4*z)/(-1 + z)^2)])/((1 - z)*Sign[1 - Abs[z]])^(2*b), 
  Hypergeometric2F1[a, b, 1/2 + a + b, -((4*z)/(-1 + z)^2)]/((1 - z)*Sign[1 - Abs[z]])^(2*b), 
  (Hypergeometric2F1[a, 1/2 + a, c, (4*z)/(1 + z)^2]*((1 - z)*Sign[1 - Abs[z]])^(1 + 4*a - 2*c))/(1 + z)^(2*a), 
  Hypergeometric2F1[a, b, 1/2 + a + b, -z]^2, Hypergeometric2F1[a, b, (1/2)*(1 + a + b), (1/2)*(1 - Sqrt[1 + z])]^2, 
  Hypergeometric2F1[a, b, (1/2)*(1 + a + b), (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]^2, 
  Hypergeometric2F1[a, b, (1/2)*(1 + a + b), (z - Sqrt[1 + z^2])/(2*z)]^2, 
  (1 + Sqrt[1 + z])^(2 - 2*c)*Hypergeometric2F1[1 - a, a, c, (1/2)*(1 - Sqrt[1 + z])]^2, 
  (Sqrt[z] + Sqrt[1 + z])^(2 - 2*c)*Hypergeometric2F1[1 - a, a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]^2, 
  (z + Sqrt[1 + z^2])^(2 - 2*c)*Hypergeometric2F1[1 - a, a, c, (z - Sqrt[1 + z^2])/(2*z)]^2, 
  Hypergeometric2F1[a, 1/2 + a, c, 1/(1 + z)]^2/(1 + z)^(2*a), Hypergeometric2F1[a, 1/2 + a, c, z/(1 + z)]^2/(1 + z)^(2*a), 
  Hypergeometric2F1[a, b, 1 + a - b, (-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]^2/(1 + Sqrt[1 + z])^(2*a), 
  Hypergeometric2F1[a, b, 1 + a - b, (-Sqrt[z] + Sqrt[1 + z])/(Sqrt[z] + Sqrt[1 + z])]^2/(Sqrt[z] + Sqrt[1 + z])^(2*a), 
  Hypergeometric2F1[a, b, 1 + a - b, (-z + Sqrt[1 + z^2])/(z + Sqrt[1 + z^2])]^2/(z + Sqrt[1 + z^2])^(2*a), 
  (1 + z)*Hypergeometric2F1[a, b, -(1/2) + a + b, -z]^2, Hypergeometric2F1[1 - a, a, 2 - c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1[1 - a, a, c, (1/2)*(1 - Sqrt[1 + z])], Hypergeometric2F1[1 - a, a, 2 - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1[1 - a, a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  Hypergeometric2F1[1 - a, a, 2 - c, (z - Sqrt[1 + z^2])/(2*z)]*Hypergeometric2F1[1 - a, a, c, (z - Sqrt[1 + z^2])/(2*z)], 
  Hypergeometric2F1[a, 1/2 + a, 3/2 + 2*a - c, (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1[a, 1/2 + a, c, (1/2)*(1 - Sqrt[1 + z])], 
  Hypergeometric2F1[a, 1/2 + a, 3/2 + 2*a - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1[a, 1/2 + a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  Hypergeometric2F1[a, 1/2 + a, 3/2 + 2*a - c, (z - Sqrt[1 + z^2])/(2*z)]*Hypergeometric2F1[a, 1/2 + a, c, 
    (z - Sqrt[1 + z^2])/(2*z)], Hypergeometric2F1[1/2 - a, 1/2 - b, 3/2 - a - b, -z]*Hypergeometric2F1[a, b, 1/2 + a + b, -z], 
  Hypergeometric2F1[a, b, -(1/2) + a + b, -z]*Hypergeometric2F1[a, b, 1/2 + a + b, -z], 
  Hypergeometric2F1[1 - a, 1 - b, (1/2)*(3 - a - b), (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1[a, b, (1/2)*(1 + a + b), 
    (1/2)*(1 - Sqrt[1 + z])], Hypergeometric2F1[1 - a, 1 - b, (1/2)*(3 - a - b), (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1[a, b, (1/2)*(1 + a + b), (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  Hypergeometric2F1[1 - a, 1 - b, (1/2)*(3 - a - b), (z - Sqrt[1 + z^2])/(2*z)]*Hypergeometric2F1[a, b, (1/2)*(1 + a + b), 
    (z - Sqrt[1 + z^2])/(2*z)], Hypergeometric2F1[a, b, 1 + a + b - c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1[a, b, c, (1/2)*(1 - Sqrt[1 + z])], Hypergeometric2F1[a, b, 1 + a + b - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1[a, b, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], Hypergeometric2F1[a, b, c, -((2*(1 - Sqrt[1 + z]))/z)]*
   Hypergeometric2F1[a, b, c, -((2*(1 + Sqrt[1 + z]))/z)], Hypergeometric2F1[a, b, c, -2*(z - Sqrt[z]*Sqrt[1 + z])]*
   Hypergeometric2F1[a, b, c, -2*(z + Sqrt[z]*Sqrt[1 + z])], Hypergeometric2F1[a, b, 1 + a + b - c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1[a, b, c, (z - Sqrt[1 + z^2])/(2*z)], Hypergeometric2F1[a, b, c, -2*(z^2 - z*Sqrt[1 + z^2])]*
   Hypergeometric2F1[a, b, c, -2*(z^2 + z*Sqrt[1 + z^2])], Hypergeometric2F1[a, b, 1/2 + a + b, -z]*
   Hypergeometric2F1[a, 1 + b, 1/2 + a + b, -z], Hypergeometric2F1[a, b, 1/2 + a + b, -z]*
   Hypergeometric2F1[1 + a, b, 1/2 + a + b, -z], Hypergeometric2F1[a, b, 1/2 + a + b, -z]*
   Hypergeometric2F1[1 + a, 1 + b, 3/2 + a + b, -z], (1 + Sqrt[1 + z])^(3/2 + 2*a - 2*c)*
   Hypergeometric2F1[1/2 - a, 1 - a, 1/2 - 2*a + c, (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1[a, 1/2 + a, c, 
    (1/2)*(1 - Sqrt[1 + z])], (Sqrt[z] + Sqrt[1 + z])^(3/2 + 2*a - 2*c)*Hypergeometric2F1[1/2 - a, 1 - a, 1/2 - 2*a + c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*Hypergeometric2F1[a, 1/2 + a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (z + Sqrt[1 + z^2])^(3/2 + 2*a - 2*c)*Hypergeometric2F1[1/2 - a, 1 - a, 1/2 - 2*a + c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1[a, 1/2 + a, c, (z - Sqrt[1 + z^2])/(2*z)], Sqrt[1 + z]*Hypergeometric2F1[1 - a, 1 - b, 5/2 - a - b, -z]*
   Hypergeometric2F1[a, b, -(1/2) + a + b, -z], (1 + z)*Hypergeometric2F1[3/2 - a, 3/2 - b, 5/2 - a - b, -z]*
   Hypergeometric2F1[a, b, -(1/2) + a + b, -z], Sqrt[1 + z]*Hypergeometric2F1[-(1/2) + a, -(1/2) + b, -(1/2) + a + b, -z]*
   Hypergeometric2F1[a, b, -(1/2) + a + b, -z], Sqrt[1 + z]*Hypergeometric2F1[-(1/2) + a, 1/2 + b, -(1/2) + a + b, -z]*
   Hypergeometric2F1[a, b, -(1/2) + a + b, -z], Sqrt[1 + z]*Hypergeometric2F1[1 - a, 1 - b, 3/2 - a - b, -z]*
   Hypergeometric2F1[a, b, 1/2 + a + b, -z], (1 + Sqrt[1 + z])^(1 + a + b - 2*c)*Hypergeometric2F1[1 - a, 1 - b, 1 - a - b + c, 
    (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1[a, b, c, (1/2)*(1 - Sqrt[1 + z])], 
  (Sqrt[z] + Sqrt[1 + z])^(1 + a + b - 2*c)*Hypergeometric2F1[1 - a, 1 - b, 1 - a - b + c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1[a, b, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], (z + Sqrt[1 + z^2])^(1 + a + b - 2*c)*
   Hypergeometric2F1[1 - a, 1 - b, 1 - a - b + c, (z - Sqrt[1 + z^2])/(2*z)]*Hypergeometric2F1[a, b, c, (z - Sqrt[1 + z^2])/(2*z)], 
  (-2*(1 + Sqrt[1 - z]) + z)^a*Hypergeometric2F1[a, b, c, (2*(1 + Sqrt[1 - z]))/z]*
   Hypergeometric2F1[a, -b + c, c, (2*(1 + Sqrt[1 - z]))/z], (1 - 2*(Sqrt[-1 + z]*Sqrt[z] + z))^a*
   Hypergeometric2F1[a, b, c, 2*(Sqrt[-1 + z]*Sqrt[z] + z)]*Hypergeometric2F1[a, -b + c, c, 2*(Sqrt[-1 + z]*Sqrt[z] + z)], 
  (1 - 2*(z^2 + z*Sqrt[-1 + z^2]))^a*Hypergeometric2F1[a, b, c, 2*(z^2 + z*Sqrt[-1 + z^2])]*
   Hypergeometric2F1[a, -b + c, c, 2*(z^2 + z*Sqrt[-1 + z^2])], 
  (Hypergeometric2F1[a, b, 1/2 + a + b, -z]*Hypergeometric2F1[1/2 + a, -(1/2) + b, 1/2 + a + b, -z])/Sqrt[1 + z], 
  Sqrt[1 + z]*Hypergeometric2F1[a, b, 1/2 + a + b, -z]*Hypergeometric2F1[1/2 + a, 1/2 + b, 1/2 + a + b, -z], 
  (Hypergeometric2F1[a, b, 1/2 + a + b, -z]*Hypergeometric2F1[1/2 + a, 1/2 + b, 3/2 + a + b, -z])/Sqrt[1 + z], 
  (-2*(1 + Sqrt[1 - z]) + z)^b*Hypergeometric2F1[a, b, c, (2*(1 + Sqrt[1 - z]))/z]*
   Hypergeometric2F1[b, -a + c, c, (2*(1 + Sqrt[1 - z]))/z], (1 - 2*Sqrt[-1 + z]*Sqrt[z] - 2*z)^b*
   Hypergeometric2F1[a, b, c, 2*(Sqrt[-1 + z]*Sqrt[z] + z)]*Hypergeometric2F1[b, -a + c, c, 2*(Sqrt[-1 + z]*Sqrt[z] + z)], 
  (1 - 2*(z^2 + z*Sqrt[-1 + z^2]))^b*Hypergeometric2F1[a, b, c, 2*(z^2 + z*Sqrt[-1 + z^2])]*
   Hypergeometric2F1[b, -a + c, c, 2*(z^2 + z*Sqrt[-1 + z^2])], (1 + Sqrt[1 + z])^(1 - c)*
   Hypergeometric2F1[1 - a, a, c, (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1[2 - a - c, 1 + a - c, 2 - c, (1/2)*(1 - Sqrt[1 + z])], 
  (Sqrt[z] + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1[1 - a, a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1[2 - a - c, 1 + a - c, 2 - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (z + Sqrt[1 + z^2])^(1 - c)*Hypergeometric2F1[1 - a, a, c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1[2 - a - c, 1 + a - c, 2 - c, (z - Sqrt[1 + z^2])/(2*z)], 
  (1 + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1[a, 1/2 + a, c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1[1 + a - c, 3/2 + a - c, 3/2 + 2*a - c, (1/2)*(1 - Sqrt[1 + z])], 
  (Sqrt[z] + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1[a, 1/2 + a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1[1 + a - c, 3/2 + a - c, 3/2 + 2*a - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (z + Sqrt[1 + z^2])^(1 - c)*Hypergeometric2F1[a, 1/2 + a, c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1[1 + a - c, 3/2 + a - c, 3/2 + 2*a - c, (z - Sqrt[1 + z^2])/(2*z)], 
  (1 + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1[a, b, c, (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1[1 + a - c, 1 + b - c, 
    1 + a + b - c, (1/2)*(1 - Sqrt[1 + z])], (Sqrt[z] + Sqrt[1 + z])^(1 - c)*
   Hypergeometric2F1[a, b, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*Hypergeometric2F1[1 + a - c, 1 + b - c, 1 + a + b - c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], (z + Sqrt[1 + z^2])^(1 - c)*Hypergeometric2F1[a, b, c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1[1 + a - c, 1 + b - c, 1 + a + b - c, (z - Sqrt[1 + z^2])/(2*z)], 
  (2 + z - 2*Sqrt[1 + z])^(-a - b + c)*Hypergeometric2F1[a, b, c, -((2*(1 + Sqrt[1 + z]))/z)]*
   Hypergeometric2F1[-a + c, -b + c, c, -((2*(1 - Sqrt[1 + z]))/z)], (2 + z + 2*Sqrt[1 + z])^(-a - b + c)*
   Hypergeometric2F1[a, b, c, -((2*(1 - Sqrt[1 + z]))/z)]*Hypergeometric2F1[-a + c, -b + c, c, -((2*(1 + Sqrt[1 + z]))/z)], 
  (1 + 2*z - 2*Sqrt[z]*Sqrt[1 + z])^(-a - b + c)*Hypergeometric2F1[a, b, c, -2*(z + Sqrt[z]*Sqrt[1 + z])]*
   Hypergeometric2F1[-a + c, -b + c, c, -2*(z - Sqrt[z]*Sqrt[1 + z])], (1 + 2*z + 2*Sqrt[z]*Sqrt[1 + z])^(-a - b + c)*
   Hypergeometric2F1[a, b, c, -2*(z - Sqrt[z]*Sqrt[1 + z])]*Hypergeometric2F1[-a + c, -b + c, c, -2*(z + Sqrt[z]*Sqrt[1 + z])], 
  (1 + 2*z^2 - 2*z*Sqrt[1 + z^2])^(-a - b + c)*Hypergeometric2F1[a, b, c, -2*(z^2 + z*Sqrt[1 + z^2])]*
   Hypergeometric2F1[-a + c, -b + c, c, -2*(z^2 - z*Sqrt[1 + z^2])], (1 + 2*z^2 + 2*z*Sqrt[1 + z^2])^(-a - b + c)*
   Hypergeometric2F1[a, b, c, -2*(z^2 - z*Sqrt[1 + z^2])]*Hypergeometric2F1[-a + c, -b + c, c, -2*(z^2 + z*Sqrt[1 + z^2])], 
  (1 + Sqrt[1 + z])^(a + b - c)*Hypergeometric2F1[a, b, c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1[-a + c, -b + c, 1 - a - b + c, (1/2)*(1 - Sqrt[1 + z])], (Sqrt[z] + Sqrt[1 + z])^(a + b - c)*
   Hypergeometric2F1[a, b, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*Hypergeometric2F1[-a + c, -b + c, 1 - a - b + c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], (z + Sqrt[1 + z^2])^(a + b - c)*Hypergeometric2F1[a, b, c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1[-a + c, -b + c, 1 - a - b + c, (z - Sqrt[1 + z^2])/(2*z)], Hypergeometric2F1Regularized[a, b, c, 1 - z], 
  Hypergeometric2F1Regularized[a, b, c, -z], Hypergeometric2F1Regularized[a, b, c, z], 
  -(1/Gamma[c]) + Hypergeometric2F1Regularized[a, b, c, z], -Hypergeometric2F1Regularized[a, b, c, -z] + 
   Hypergeometric2F1Regularized[a, b, c, z], Hypergeometric2F1Regularized[a, b, c, -z] + Hypergeometric2F1Regularized[a, b, c, z], 
  (1 - z)*Hypergeometric2F1Regularized[a, b, a + (1/2)*(-1 + b), z], (1 - z)*Hypergeometric2F1Regularized[a, b, 1 + a - b, z], 
  (1 - z)^(2*b)*Hypergeometric2F1Regularized[a, b, 1 + a - b, z], Hypergeometric2F1Regularized[a, b, 1 + a + 2*b, z]/(1 - z)^b, 
  (1 - z)^(-1 + c)*Hypergeometric2F1Regularized[a, b, c, 1 - z], (1 - z)^(a + b - c)*Hypergeometric2F1Regularized[a, b, c, z], 
  (1 + z)^(1 - a)*Hypergeometric2F1Regularized[1 - a, a, c, z/(1 + z)], 
  Hypergeometric2F1Regularized[a, 1/3 + a, 5/6 + 2*a, (27*z^2)/(4 + z)^3]/(4 + z)^(3*a), 
  Hypergeometric2F1Regularized[a, 1/3 + a, 5/6 + 2*a, (27*z)/(1 + 4*z)^3]/(1 + 4*z)^(3*a), 
  Hypergeometric2F1Regularized[a, 1/2 + a, c, (4*z)/(1 + z)^2]/(1 + z)^(2*a), ((-1 + z)^2/(1 + z)^2)^(1/2 + 2*a - c)*
   (1 + z)^(1 + 2*a - 2*c)*Hypergeometric2F1Regularized[a, 1/2 + a, c, (4*z)/(1 + z)^2], 
  Hypergeometric2F1Regularized[a, 1 + 2*a, c, z/(1 + z)]/(1 + z)^(2*a), Hypergeometric2F1Regularized[a, b, 2*b, -((4*z)/(-1 + z)^2)]/
   (((-1 + z)^2/(1 + z)^2)^a*(1 + z)^(2*a)), ((1 + z)^(2*(a - 2*b))*Hypergeometric2F1Regularized[a, b, 2*b, -((4*z)/(-1 + z)^2)])/
   ((1 - z)^2/(1 + z)^2)^b, Hypergeometric2F1Regularized[a, b, 2*b, (4*z)/(1 + z)^2]/(1 + z)^(2*a), 
  ((-1 + z)^2/(1 + z)^2)^(a - b)*(1 + z)^(2*(a - 2*b))*Hypergeometric2F1Regularized[a, b, 2*b, (4*z)/(1 + z)^2], 
  ((1 + z)^(1 - 2*a)*Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -((4*z)/(-1 + z)^2)])/((-1 + z)^2/(1 + z)^2)^a, 
  Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -((4*z)/(-1 + z)^2)]/(((-1 + z)^2/(1 + z)^2)^a*(1 + z)^(2*a)), 
  (1 + z)^(1 - a)*Hypergeometric2F1Regularized[a, b, (1/2)*(1 + a + b), z/(1 + z)], 
  (1 + z)^(1 - b)*Hypergeometric2F1Regularized[a, b, -1 - a + 2*b, z/(1 + z)], 
  (1 - z)^(-1 + c)*Hypergeometric2F1Regularized[a, b, c, (-1 + z)/z], Hypergeometric2F1Regularized[a, b, c, z/(1 + z)]/(1 + z)^a, 
  Hypergeometric2F1Regularized[a, b, c, z/(1 + z)]/(1 + z)^b, (1 + Sqrt[1 - z])^(2 + b - 2*c)*
   Hypergeometric2F1Regularized[1, b, c, (1/2)*(1 - Sqrt[1 - z])], 
  Hypergeometric2F1Regularized[a, b, 1 + b, (1/2)*(1 - Sqrt[1 - z])]/(1 + Sqrt[1 - z])^b, 
  (-Sqrt[z] + Sqrt[1 + z])^(2*a)*Hypergeometric2F1Regularized[a, b, 1 + a, 1 + 2*z - 2*Sqrt[z]*Sqrt[1 + z]], 
  (-Sqrt[z] + Sqrt[1 + z])^(-1 + b + c)*Hypergeometric2F1Regularized[1, b, c, 1 + 2*z - 2*Sqrt[z]*Sqrt[1 + z]], 
  (-z + Sqrt[1 + z^2])^(-1 + b + c)*Hypergeometric2F1Regularized[1, b, c, 1 + 2*z^2 - 2*z*Sqrt[1 + z^2]], 
  (-z + Sqrt[1 + z^2])^(2*a)*Hypergeometric2F1Regularized[a, b, 1 + a, 1 + 2*z^2 - 2*z*Sqrt[1 + z^2]], 
  Hypergeometric2F1Regularized[a, b, 2*b, -((4*Sqrt[z])/(-1 + Sqrt[z])^2)]/(((-1 + Sqrt[z])^2/(1 + Sqrt[z])^2)^a*
    (1 + Sqrt[z])^(2*a)), ((1 + Sqrt[z])^(2*(a - 2*b))*Hypergeometric2F1Regularized[a, b, 2*b, -((4*Sqrt[z])/(-1 + Sqrt[z])^2)])/
   ((-1 + Sqrt[z])^2/(1 + Sqrt[z])^2)^b, Hypergeometric2F1Regularized[a, b, 2*b, (4*Sqrt[z])/(1 + Sqrt[z])^2]/(1 + Sqrt[z])^(2*a), 
  ((-1 + Sqrt[z])^2/(1 + Sqrt[z])^2)^(a - b)*(1 + Sqrt[z])^(2*(a - 2*b))*Hypergeometric2F1Regularized[a, b, 2*b, 
    (4*Sqrt[z])/(1 + Sqrt[z])^2], (1 + Sqrt[1 - z])^(1 - b - c)*Hypergeometric2F1Regularized[1, b, c, 
    (-1 + Sqrt[1 - z])/(1 + Sqrt[1 - z])], Hypergeometric2F1Regularized[a, b, 1 + b, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]/
   (Sqrt[z] + Sqrt[1 + z])^b, (Sqrt[z] + Sqrt[1 + z])^(2 + b - 2*c)*Hypergeometric2F1Regularized[1, b, c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], Hypergeometric2F1Regularized[a, b, 1 + b, 
    (-Sqrt[z] + Sqrt[1 + z])/(Sqrt[z] + Sqrt[1 + z])]/(Sqrt[z] + Sqrt[1 + z])^(2*b), 
  (Sqrt[z] + Sqrt[1 + z])^(1 - b - c)*Hypergeometric2F1Regularized[1, b, c, (-Sqrt[z] + Sqrt[1 + z])/(Sqrt[z] + Sqrt[1 + z])], 
  (z + Sqrt[1 + z^2])^(a - 2*b)*Hypergeometric2F1Regularized[1, a, 1 + b, (z - Sqrt[1 + z^2])/(2*z)], 
  Hypergeometric2F1Regularized[a, b, 1 + b, (z - Sqrt[1 + z^2])/(2*z)]/(z + Sqrt[1 + z^2])^b, 
  Hypergeometric2F1Regularized[a, b, 1 + b, (-z + Sqrt[1 + z^2])/(z + Sqrt[1 + z^2])]/(z + Sqrt[1 + z^2])^(2*b), 
  (z + Sqrt[1 + z^2])^(1 - b - c)*Hypergeometric2F1Regularized[1, b, c, (-z + Sqrt[1 + z^2])/(z + Sqrt[1 + z^2])], 
  (-1 + Sqrt[1 + z])^(-1 + b + c)*Hypergeometric2F1Regularized[1, b, c, (2 + z - 2*Sqrt[1 + z])/z], 
  (-1 + Sqrt[1 + z])^(2*b)*Hypergeometric2F1Regularized[a, b, 1 + b, (2 + z - 2*Sqrt[1 + z])/z], 
  (-1 + Sqrt[1 + z])^(-2 - b + 2*c)*Hypergeometric2F1Regularized[1, b, c, (2 + z - 2*Sqrt[1 + z])/(2 - 2*Sqrt[1 + z])], 
  (-1 + Sqrt[1 + z])^b*Hypergeometric2F1Regularized[a, b, 1 + b, (2 + z - 2*Sqrt[1 + z])/(2 - 2*Sqrt[1 + z])], 
  (-Sqrt[z] + Sqrt[1 + z])^(-2 - b + 2*c)*Hypergeometric2F1Regularized[1, b, c, (1 + 2*z - 2*Sqrt[z]*Sqrt[1 + z])/
     (2*z - 2*Sqrt[z]*Sqrt[1 + z])], (-Sqrt[z] + Sqrt[1 + z])^a*Hypergeometric2F1Regularized[a, b, 1 + a, 
    (1 + 2*z - 2*Sqrt[z]*Sqrt[1 + z])/(2*z - 2*Sqrt[z]*Sqrt[1 + z])], (-z + Sqrt[1 + z^2])^(-2 - b + 2*c)*
   Hypergeometric2F1Regularized[1, b, c, (1 + 2*z^2 - 2*z*Sqrt[1 + z^2])/(2*z^2 - 2*z*Sqrt[1 + z^2])], 
  (-z + Sqrt[1 + z^2])^a*Hypergeometric2F1Regularized[a, b, 1 + a, (1 + 2*z^2 - 2*z*Sqrt[1 + z^2])/(2*z^2 - 2*z*Sqrt[1 + z^2])], 
  Hypergeometric2F1Regularized[a, b, c, -z]*UnitStep[1 - Abs[z]], Hypergeometric2F1Regularized[a, b, c, z]*UnitStep[1 - Abs[z]], 
  Hypergeometric2F1Regularized[a, b, c, -(1/z)]*UnitStep[-1 + Abs[z]], Hypergeometric2F1Regularized[a, b, c, 1/z]*
   UnitStep[-1 + Abs[z]], (1 - z)^(-1 + c)*Hypergeometric2F1Regularized[a, b, c, 1 - z]*UnitStep[1 - Abs[z]], 
  (1 - z)^(-1 + c)*Hypergeometric2F1Regularized[a, b, c, (-1 + z)/z]*UnitStep[1 - Abs[z]], 
  (1 + z)^(a + b - c)*Hypergeometric2F1Regularized[a, b, c, -z]*UnitStep[1 - Abs[z]], 
  (1 - z)^(a + b - c)*Hypergeometric2F1Regularized[a, b, c, z]*UnitStep[1 - Abs[z]], 
  (Hypergeometric2F1Regularized[a, b, c, z/(-1 + z)]*UnitStep[1 - Abs[z]])/(1 - z)^a, 
  (Hypergeometric2F1Regularized[a, b, c, z/(-1 + z)]*UnitStep[1 - Abs[z]])/(1 - z)^b, 
  (Hypergeometric2F1Regularized[a, b, c, z/(1 + z)]*UnitStep[1 - Abs[z]])/(1 + z)^a, 
  (Hypergeometric2F1Regularized[a, b, c, z/(1 + z)]*UnitStep[1 - Abs[z]])/(1 + z)^b, 
  (Hypergeometric2F1Regularized[a, b, c, 1/(1 - z)]*UnitStep[-1 + Abs[z]])/(-1 + z)^a, 
  (Hypergeometric2F1Regularized[a, b, c, 1/(1 - z)]*UnitStep[-1 + Abs[z]])/(-1 + z)^b, 
  (-1 + z)^(-1 + c)*Hypergeometric2F1Regularized[a, b, c, 1 - z]*UnitStep[-1 + Abs[z]], 
  (1 + z)^(a + b - c)*Hypergeometric2F1Regularized[a, b, c, -(1/z)]*UnitStep[-1 + Abs[z]], 
  (-1 + z)^(a + b - c)*Hypergeometric2F1Regularized[a, b, c, 1/z]*UnitStep[-1 + Abs[z]], 
  (-1 + z)^(-1 + c)*Hypergeometric2F1Regularized[a, b, c, (-1 + z)/z]*UnitStep[-1 + Abs[z]], 
  (Hypergeometric2F1Regularized[a, b, c, 1/(1 + z)]*UnitStep[-1 + Abs[z]])/(1 + z)^a, 
  (Hypergeometric2F1Regularized[a, b, c, 1/(1 + z)]*UnitStep[-1 + Abs[z]])/(1 + z)^b, 
  Hypergeometric2F1Regularized[a, b, 2*b, -((4*Sqrt[z])/(-1 + Sqrt[z])^2)]/((1 - Sqrt[z])*Sign[1 - Abs[z]])^(2*a), 
  (Hypergeometric2F1Regularized[a, b, 2*b, (4*Sqrt[z])/(1 + Sqrt[z])^2]*((1 - Sqrt[z])*Sign[1 - Abs[z]])^(2*a - 2*b))/
   (1 + Sqrt[z])^(2*b), ((1 + Sqrt[z])^(2*a - 2*b)*Hypergeometric2F1Regularized[a, b, 2*b, -((4*Sqrt[z])/(-1 + Sqrt[z])^2)])/
   ((1 - Sqrt[z])*Sign[1 - Abs[z]])^(2*b), Hypergeometric2F1Regularized[a, b, 2*b, -((4*z)/(-1 + z)^2)]/
   ((1 - z)*Sign[1 - Abs[z]])^(2*a), ((1 + z)*Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -((4*z)/(-1 + z)^2)])/
   ((1 - z)*Sign[1 - Abs[z]])^(2*a), Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -((4*z)/(-1 + z)^2)]/
   ((1 - z)*Sign[1 - Abs[z]])^(2*a), (Hypergeometric2F1Regularized[a, b, 2*b, (4*z)/(1 + z)^2]*
    ((1 - z)*Sign[1 - Abs[z]])^(2*a - 2*b))/(1 + z)^(2*b), 
  ((1 + z)^(2*a - 2*b)*Hypergeometric2F1Regularized[a, b, 2*b, -((4*z)/(-1 + z)^2)])/((1 - z)*Sign[1 - Abs[z]])^(2*b), 
  ((1 + z)*Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -((4*z)/(-1 + z)^2)])/((1 - z)*Sign[1 - Abs[z]])^(2*b), 
  Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -((4*z)/(-1 + z)^2)]/((1 - z)*Sign[1 - Abs[z]])^(2*b), 
  (Hypergeometric2F1Regularized[a, 1/2 + a, c, (4*z)/(1 + z)^2]*((1 - z)*Sign[1 - Abs[z]])^(1 + 4*a - 2*c))/(1 + z)^(2*a), 
  Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z]^2, Hypergeometric2F1Regularized[a, b, (1/2)*(1 + a + b), 
    (1/2)*(1 - Sqrt[1 + z])]^2, Hypergeometric2F1Regularized[a, b, (1/2)*(1 + a + b), (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]^2, 
  Hypergeometric2F1Regularized[a, b, (1/2)*(1 + a + b), (z - Sqrt[1 + z^2])/(2*z)]^2, 
  (1 + Sqrt[1 + z])^(2 - 2*c)*Hypergeometric2F1Regularized[1 - a, a, c, (1/2)*(1 - Sqrt[1 + z])]^2, 
  (Sqrt[z] + Sqrt[1 + z])^(2 - 2*c)*Hypergeometric2F1Regularized[1 - a, a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]^2, 
  (z + Sqrt[1 + z^2])^(2 - 2*c)*Hypergeometric2F1Regularized[1 - a, a, c, (z - Sqrt[1 + z^2])/(2*z)]^2, 
  Hypergeometric2F1Regularized[a, 1/2 + a, c, 1/(1 + z)]^2/(1 + z)^(2*a), Hypergeometric2F1Regularized[a, 1/2 + a, c, z/(1 + z)]^2/
   (1 + z)^(2*a), Hypergeometric2F1Regularized[a, b, 1 + a - b, (-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]^2/(1 + Sqrt[1 + z])^(2*a), 
  Hypergeometric2F1Regularized[a, b, 1 + a - b, (-Sqrt[z] + Sqrt[1 + z])/(Sqrt[z] + Sqrt[1 + z])]^2/(Sqrt[z] + Sqrt[1 + z])^(2*a), 
  Hypergeometric2F1Regularized[a, b, 1 + a - b, (-z + Sqrt[1 + z^2])/(z + Sqrt[1 + z^2])]^2/(z + Sqrt[1 + z^2])^(2*a), 
  (1 + z)*Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -z]^2, Hypergeometric2F1[a, b, 1/2 + a + b, -z]*
   Hypergeometric2F1Regularized[1/2 - a, 1/2 - b, 3/2 - a - b, -z], Hypergeometric2F1[1 - a, a, c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[1 - a, a, 2 - c, (1/2)*(1 - Sqrt[1 + z])], 
  Hypergeometric2F1[1 - a, a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*Hypergeometric2F1Regularized[1 - a, a, 2 - c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], Hypergeometric2F1[1 - a, a, c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[1 - a, a, 2 - c, (z - Sqrt[1 + z^2])/(2*z)], 
  Hypergeometric2F1[1 - a, a, 2 - c, (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1Regularized[1 - a, a, c, (1/2)*(1 - Sqrt[1 + z])], 
  Hypergeometric2F1[1 - a, a, 2 - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*Hypergeometric2F1Regularized[1 - a, a, c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], Hypergeometric2F1[1 - a, a, 2 - c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[1 - a, a, c, (z - Sqrt[1 + z^2])/(2*z)], 
  Hypergeometric2F1[a, b, (1/2)*(1 + a + b), (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1Regularized[1 - a, 1 - b, (1/2)*(3 - a - b), 
    (1/2)*(1 - Sqrt[1 + z])], Hypergeometric2F1[a, b, (1/2)*(1 + a + b), (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[1 - a, 1 - b, (1/2)*(3 - a - b), (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  Hypergeometric2F1[a, b, (1/2)*(1 + a + b), (z - Sqrt[1 + z^2])/(2*z)]*Hypergeometric2F1Regularized[1 - a, 1 - b, 
    (1/2)*(3 - a - b), (z - Sqrt[1 + z^2])/(2*z)], Hypergeometric2F1[a, b, -(1/2) + a + b, -z]*
   Hypergeometric2F1Regularized[-1 + a, -1 + b, -(3/2) + a + b, -z], Hypergeometric2F1[a, b, -(1/2) + a + b, -z]*
   Hypergeometric2F1Regularized[-1 + a, b, -(1/2) + a + b, -z], Hypergeometric2F1[a, 1/2 + a, c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[a, 1/2 + a, 3/2 + 2*a - c, (1/2)*(1 - Sqrt[1 + z])], 
  Hypergeometric2F1[a, 1/2 + a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*Hypergeometric2F1Regularized[a, 1/2 + a, 3/2 + 2*a - c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], Hypergeometric2F1[a, 1/2 + a, c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[a, 1/2 + a, 3/2 + 2*a - c, (z - Sqrt[1 + z^2])/(2*z)], 
  (Hypergeometric2F1[a, 1/2 + a, c, 1/(1 + z)]*Hypergeometric2F1Regularized[a, 1/2 + a, c, 1/(1 + z)])/(1 + z)^(2*a), 
  Hypergeometric2F1[a, 1/2 + a, 3/2 + 2*a - c, (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1Regularized[a, 1/2 + a, c, 
    (1/2)*(1 - Sqrt[1 + z])], Hypergeometric2F1[a, 1/2 + a, 3/2 + 2*a - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[a, 1/2 + a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  Hypergeometric2F1[a, 1/2 + a, 3/2 + 2*a - c, (z - Sqrt[1 + z^2])/(2*z)]*Hypergeometric2F1Regularized[a, 1/2 + a, c, 
    (z - Sqrt[1 + z^2])/(2*z)], Hypergeometric2F1[a, b, -(1/2) + a + b, -z]*Hypergeometric2F1Regularized[a, -1 + b, -(1/2) + a + b, 
    -z], Hypergeometric2F1[-1 + a, -1 + b, -(3/2) + a + b, -z]*Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -z], 
  Hypergeometric2F1[-1 + a, b, -(1/2) + a + b, -z]*Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -z], 
  Hypergeometric2F1[a, -1 + b, -(1/2) + a + b, -z]*Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -z], 
  Hypergeometric2F1[a, b, 1/2 + a + b, -z]*Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -z], 
  Hypergeometric2F1[1/2 - a, 1/2 - b, 3/2 - a - b, -z]*Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z], 
  Hypergeometric2F1[a, b, -(1/2) + a + b, -z]*Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z], 
  Hypergeometric2F1[a, b, 1/2 + a + b, -z]*Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z], 
  Hypergeometric2F1[a, 1 + b, 1/2 + a + b, -z]*Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z], 
  Hypergeometric2F1[1 + a, b, 1/2 + a + b, -z]*Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z], 
  Hypergeometric2F1[1 + a, 1 + b, 3/2 + a + b, -z]*Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z], 
  Hypergeometric2F1[1 - a, 1 - b, (1/2)*(3 - a - b), (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1Regularized[a, b, (1/2)*(1 + a + b), 
    (1/2)*(1 - Sqrt[1 + z])], Hypergeometric2F1[a, b, (1/2)*(1 + a + b), (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[a, b, (1/2)*(1 + a + b), (1/2)*(1 - Sqrt[1 + z])], 
  Hypergeometric2F1[1 - a, 1 - b, (1/2)*(3 - a - b), (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[a, b, (1/2)*(1 + a + b), (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  Hypergeometric2F1[a, b, (1/2)*(1 + a + b), (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[a, b, (1/2)*(1 + a + b), (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  Hypergeometric2F1[1 - a, 1 - b, (1/2)*(3 - a - b), (z - Sqrt[1 + z^2])/(2*z)]*Hypergeometric2F1Regularized[a, b, 
    (1/2)*(1 + a + b), (z - Sqrt[1 + z^2])/(2*z)], Hypergeometric2F1[a, b, (1/2)*(1 + a + b), (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[a, b, (1/2)*(1 + a + b), (z - Sqrt[1 + z^2])/(2*z)], 
  Hypergeometric2F1[a, b, c, (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1Regularized[a, b, 1 + a + b - c, (1/2)*(1 - Sqrt[1 + z])], 
  Hypergeometric2F1[a, b, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*Hypergeometric2F1Regularized[a, b, 1 + a + b - c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], Hypergeometric2F1[a, b, c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[a, b, 1 + a + b - c, (z - Sqrt[1 + z^2])/(2*z)], 
  Hypergeometric2F1[a, b, 1 + a + b - c, (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1Regularized[a, b, c, (1/2)*(1 - Sqrt[1 + z])], 
  Hypergeometric2F1[a, b, c, -((2*(1 + Sqrt[1 + z]))/z)]*Hypergeometric2F1Regularized[a, b, c, -((2*(1 - Sqrt[1 + z]))/z)], 
  Hypergeometric2F1[a, b, 1 + a + b - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*Hypergeometric2F1Regularized[a, b, c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], Hypergeometric2F1[a, b, c, -((2*(1 - Sqrt[1 + z]))/z)]*
   Hypergeometric2F1Regularized[a, b, c, -((2*(1 + Sqrt[1 + z]))/z)], Hypergeometric2F1[a, b, c, -2*(z + Sqrt[z]*Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[a, b, c, -2*(z - Sqrt[z]*Sqrt[1 + z])], Hypergeometric2F1[a, b, c, -2*(z - Sqrt[z]*Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[a, b, c, -2*(z + Sqrt[z]*Sqrt[1 + z])], 
  Hypergeometric2F1[a, b, 1 + a + b - c, (z - Sqrt[1 + z^2])/(2*z)]*Hypergeometric2F1Regularized[a, b, c, 
    (z - Sqrt[1 + z^2])/(2*z)], Hypergeometric2F1[a, b, c, -2*(z^2 + z*Sqrt[1 + z^2])]*
   Hypergeometric2F1Regularized[a, b, c, -2*(z^2 - z*Sqrt[1 + z^2])], Hypergeometric2F1[a, b, c, -2*(z^2 - z*Sqrt[1 + z^2])]*
   Hypergeometric2F1Regularized[a, b, c, -2*(z^2 + z*Sqrt[1 + z^2])], Hypergeometric2F1[a, b, 1/2 + a + b, -z]*
   Hypergeometric2F1Regularized[a, 1 + b, 1/2 + a + b, -z], Hypergeometric2F1[a, b, 1/2 + a + b, -z]*
   Hypergeometric2F1Regularized[1 + a, b, 1/2 + a + b, -z], Hypergeometric2F1[a, b, 1/2 + a + b, -z]*
   Hypergeometric2F1Regularized[1 + a, 1 + b, 3/2 + a + b, -z], (1 + Sqrt[1 + z])^(3/2 + 2*a - 2*c)*
   Hypergeometric2F1[a, 1/2 + a, c, (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1Regularized[1/2 - a, 1 - a, 1/2 - 2*a + c, 
    (1/2)*(1 - Sqrt[1 + z])], (Sqrt[z] + Sqrt[1 + z])^(3/2 + 2*a - 2*c)*Hypergeometric2F1[a, 1/2 + a, c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*Hypergeometric2F1Regularized[1/2 - a, 1 - a, 1/2 - 2*a + c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], (z + Sqrt[1 + z^2])^(3/2 + 2*a - 2*c)*
   Hypergeometric2F1[a, 1/2 + a, c, (z - Sqrt[1 + z^2])/(2*z)]*Hypergeometric2F1Regularized[1/2 - a, 1 - a, 1/2 - 2*a + c, 
    (z - Sqrt[1 + z^2])/(2*z)], (1 + Sqrt[1 + z])^(2 - 2*c)*Hypergeometric2F1[1 - a, a, c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[1 - a, a, c, (1/2)*(1 - Sqrt[1 + z])], 
  (1 + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1[2 - a - c, 1 + a - c, 2 - c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[1 - a, a, c, (1/2)*(1 - Sqrt[1 + z])], (Sqrt[z] + Sqrt[1 + z])^(2 - 2*c)*
   Hypergeometric2F1[1 - a, a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*Hypergeometric2F1Regularized[1 - a, a, c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], (Sqrt[z] + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1[2 - a - c, 1 + a - c, 2 - c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*Hypergeometric2F1Regularized[1 - a, a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (z + Sqrt[1 + z^2])^(2 - 2*c)*Hypergeometric2F1[1 - a, a, c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[1 - a, a, c, (z - Sqrt[1 + z^2])/(2*z)], 
  (z + Sqrt[1 + z^2])^(1 - c)*Hypergeometric2F1[2 - a - c, 1 + a - c, 2 - c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[1 - a, a, c, (z - Sqrt[1 + z^2])/(2*z)], Sqrt[1 + z]*Hypergeometric2F1[a, b, 1/2 + a + b, -z]*
   Hypergeometric2F1Regularized[1 - a, 1 - b, 3/2 - a - b, -z], Sqrt[1 + z]*Hypergeometric2F1[a, b, -(1/2) + a + b, -z]*
   Hypergeometric2F1Regularized[1 - a, 1 - b, 5/2 - a - b, -z], (1 + Sqrt[1 + z])^(1 + a + b - 2*c)*
   Hypergeometric2F1[a, b, c, (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1Regularized[1 - a, 1 - b, 1 - a - b + c, 
    (1/2)*(1 - Sqrt[1 + z])], (Sqrt[z] + Sqrt[1 + z])^(1 + a + b - 2*c)*Hypergeometric2F1[a, b, c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*Hypergeometric2F1Regularized[1 - a, 1 - b, 1 - a - b + c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], (z + Sqrt[1 + z^2])^(1 + a + b - 2*c)*
   Hypergeometric2F1[a, b, c, (z - Sqrt[1 + z^2])/(2*z)]*Hypergeometric2F1Regularized[1 - a, 1 - b, 1 - a - b + c, 
    (z - Sqrt[1 + z^2])/(2*z)], (1 + z)*Hypergeometric2F1[a, b, -(1/2) + a + b, -z]*
   Hypergeometric2F1Regularized[3/2 - a, 3/2 - b, 5/2 - a - b, -z], Sqrt[1 + z]*Hypergeometric2F1[a, b, -(1/2) + a + b, -z]*
   Hypergeometric2F1Regularized[-(1/2) + a, -(1/2) + b, -(1/2) + a + b, -z], 
  (Hypergeometric2F1[a, b, 1/2 + a + b, -z]*Hypergeometric2F1Regularized[-(1/2) + a, -(1/2) + b, -(1/2) + a + b, -z])/Sqrt[1 + z], 
  Sqrt[1 + z]*Hypergeometric2F1[a, b, -(1/2) + a + b, -z]*Hypergeometric2F1Regularized[-(1/2) + a, 1/2 + b, -(1/2) + a + b, -z], 
  (Hypergeometric2F1[a, b, 1/2 + a + b, -z]*Hypergeometric2F1Regularized[-(1/2) + a, 1/2 + b, 1/2 + a + b, -z])/Sqrt[1 + z], 
  (Hypergeometric2F1[a, 1/2 + a, c, z/(1 + z)]*Hypergeometric2F1Regularized[a, 1/2 + a, c, z/(1 + z)])/(1 + z)^(2*a), 
  (1 + Sqrt[1 + z])^(3/2 + 2*a - 2*c)*Hypergeometric2F1[1/2 - a, 1 - a, 1/2 - 2*a + c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[a, 1/2 + a, c, (1/2)*(1 - Sqrt[1 + z])], 
  (1 + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1[1 + a - c, 3/2 + a - c, 3/2 + 2*a - c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[a, 1/2 + a, c, (1/2)*(1 - Sqrt[1 + z])], (1 + Sqrt[1 + z])^(1/2 + 2*a - c)*
   Hypergeometric2F1[-(1/2) - a + c, -a + c, 1/2 - 2*a + c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[a, 1/2 + a, c, (1/2)*(1 - Sqrt[1 + z])], (Sqrt[z] + Sqrt[1 + z])^(3/2 + 2*a - 2*c)*
   Hypergeometric2F1[1/2 - a, 1 - a, 1/2 - 2*a + c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[a, 1/2 + a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (Sqrt[z] + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1[1 + a - c, 3/2 + a - c, 3/2 + 2*a - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[a, 1/2 + a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (Sqrt[z] + Sqrt[1 + z])^(1/2 + 2*a - c)*Hypergeometric2F1[-(1/2) - a + c, -a + c, 1/2 - 2*a + c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*Hypergeometric2F1Regularized[a, 1/2 + a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (z + Sqrt[1 + z^2])^(3/2 + 2*a - 2*c)*Hypergeometric2F1[1/2 - a, 1 - a, 1/2 - 2*a + c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[a, 1/2 + a, c, (z - Sqrt[1 + z^2])/(2*z)], 
  (z + Sqrt[1 + z^2])^(1 - c)*Hypergeometric2F1[1 + a - c, 3/2 + a - c, 3/2 + 2*a - c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[a, 1/2 + a, c, (z - Sqrt[1 + z^2])/(2*z)], (z + Sqrt[1 + z^2])^(1/2 + 2*a - c)*
   Hypergeometric2F1[-(1/2) - a + c, -a + c, 1/2 - 2*a + c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[a, 1/2 + a, c, (z - Sqrt[1 + z^2])/(2*z)], 
  (Hypergeometric2F1[a, b, 1 + a - b, (-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]*Hypergeometric2F1Regularized[a, b, 1 + a - b, 
     (-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + Sqrt[1 + z])^(2*a), 
  (Hypergeometric2F1[a, b, 1 + a - b, (-Sqrt[z] + Sqrt[1 + z])/(Sqrt[z] + Sqrt[1 + z])]*
    Hypergeometric2F1Regularized[a, b, 1 + a - b, (-Sqrt[z] + Sqrt[1 + z])/(Sqrt[z] + Sqrt[1 + z])])/(Sqrt[z] + Sqrt[1 + z])^(2*a), 
  (Hypergeometric2F1[a, b, 1 + a - b, (-z + Sqrt[1 + z^2])/(z + Sqrt[1 + z^2])]*Hypergeometric2F1Regularized[a, b, 1 + a - b, 
     (-z + Sqrt[1 + z^2])/(z + Sqrt[1 + z^2])])/(z + Sqrt[1 + z^2])^(2*a), 
  Sqrt[1 + z]*Hypergeometric2F1[1 - a, 1 - b, 5/2 - a - b, -z]*Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -z], 
  (1 + z)*Hypergeometric2F1[3/2 - a, 3/2 - b, 5/2 - a - b, -z]*Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -z], 
  Sqrt[1 + z]*Hypergeometric2F1[-(1/2) + a, -(1/2) + b, -(1/2) + a + b, -z]*Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -z], 
  Sqrt[1 + z]*Hypergeometric2F1[-(1/2) + a, 1/2 + b, -(1/2) + a + b, -z]*Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -z], 
  (1 + z)*Hypergeometric2F1[a, b, -(1/2) + a + b, -z]*Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -z], 
  Sqrt[1 + z]*Hypergeometric2F1[1/2 + a, -(1/2) + b, -(1/2) + a + b, -z]*Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -z], 
  Sqrt[1 + z]*Hypergeometric2F1[1 - a, 1 - b, 3/2 - a - b, -z]*Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z], 
  (Hypergeometric2F1[-(1/2) + a, -(1/2) + b, -(1/2) + a + b, -z]*Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z])/Sqrt[1 + z], 
  (Hypergeometric2F1[-(1/2) + a, 1/2 + b, 1/2 + a + b, -z]*Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z])/Sqrt[1 + z], 
  (Hypergeometric2F1[1/2 + a, -(1/2) + b, 1/2 + a + b, -z]*Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z])/Sqrt[1 + z], 
  Sqrt[1 + z]*Hypergeometric2F1[1/2 + a, 1/2 + b, 1/2 + a + b, -z]*Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z], 
  (Hypergeometric2F1[1/2 + a, 1/2 + b, 3/2 + a + b, -z]*Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z])/Sqrt[1 + z], 
  (1 + Sqrt[1 + z])^((1/2)*(-1 + a + b))*Hypergeometric2F1[(1/2)*(1 + a - b), (1/2)*(1 - a + b), (1/2)*(3 - a - b), 
    (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1Regularized[a, b, (1/2)*(1 + a + b), (1/2)*(1 - Sqrt[1 + z])], 
  (Sqrt[z] + Sqrt[1 + z])^((1/2)*(-1 + a + b))*Hypergeometric2F1[(1/2)*(1 + a - b), (1/2)*(1 - a + b), (1/2)*(3 - a - b), 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*Hypergeometric2F1Regularized[a, b, (1/2)*(1 + a + b), (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (z + Sqrt[1 + z^2])^((1/2)*(-1 + a + b))*Hypergeometric2F1[(1/2)*(1 + a - b), (1/2)*(1 - a + b), (1/2)*(3 - a - b), 
    (z - Sqrt[1 + z^2])/(2*z)]*Hypergeometric2F1Regularized[a, b, (1/2)*(1 + a + b), (z - Sqrt[1 + z^2])/(2*z)], 
  (-2*(1 + Sqrt[1 - z]) + z)^a*Hypergeometric2F1[a, -b + c, c, (2*(1 + Sqrt[1 - z]))/z]*
   Hypergeometric2F1Regularized[a, b, c, (2*(1 + Sqrt[1 - z]))/z], (-2*(1 + Sqrt[1 - z]) + z)^b*
   Hypergeometric2F1[b, -a + c, c, (2*(1 + Sqrt[1 - z]))/z]*Hypergeometric2F1Regularized[a, b, c, (2*(1 + Sqrt[1 - z]))/z], 
  (1 - 2*Sqrt[-1 + z]*Sqrt[z] - 2*z)^a*Hypergeometric2F1[a, -b + c, c, 2*(Sqrt[-1 + z]*Sqrt[z] + z)]*
   Hypergeometric2F1Regularized[a, b, c, 2*(Sqrt[-1 + z]*Sqrt[z] + z)], (1 - 2*Sqrt[-1 + z]*Sqrt[z] - 2*z)^b*
   Hypergeometric2F1[b, -a + c, c, 2*(Sqrt[-1 + z]*Sqrt[z] + z)]*Hypergeometric2F1Regularized[a, b, c, 
    2*(Sqrt[-1 + z]*Sqrt[z] + z)], (1 + Sqrt[1 + z])^(1 + a + b - 2*c)*Hypergeometric2F1[1 - a, 1 - b, 1 - a - b + c, 
    (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1Regularized[a, b, c, (1/2)*(1 - Sqrt[1 + z])], 
  (1 + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1[1 + a - c, 1 + b - c, 1 + a + b - c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[a, b, c, (1/2)*(1 - Sqrt[1 + z])], (1 + Sqrt[1 + z])^(a + b - c)*
   Hypergeometric2F1[-a + c, -b + c, 1 - a - b + c, (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1Regularized[a, b, c, 
    (1/2)*(1 - Sqrt[1 + z])], (2 + z - 2*Sqrt[1 + z])^(a + b - c)*Hypergeometric2F1[-a + c, -b + c, c, -((2*(1 + Sqrt[1 + z]))/z)]*
   Hypergeometric2F1Regularized[a, b, c, -((2*(1 - Sqrt[1 + z]))/z)], (2 + z + 2*Sqrt[1 + z])^(-a - b + c)*
   Hypergeometric2F1[-a + c, -b + c, c, -((2*(1 + Sqrt[1 + z]))/z)]*Hypergeometric2F1Regularized[a, b, c, 
    -((2*(1 - Sqrt[1 + z]))/z)], (Sqrt[z] + Sqrt[1 + z])^(1 + a + b - 2*c)*Hypergeometric2F1[1 - a, 1 - b, 1 - a - b + c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*Hypergeometric2F1Regularized[a, b, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (Sqrt[z] + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1[1 + a - c, 1 + b - c, 1 + a + b - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[a, b, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (Sqrt[z] + Sqrt[1 + z])^(a + b - c)*Hypergeometric2F1[-a + c, -b + c, 1 - a - b + c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[a, b, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (2 + z - 2*Sqrt[1 + z])^(-a - b + c)*Hypergeometric2F1[-a + c, -b + c, c, -((2*(1 - Sqrt[1 + z]))/z)]*
   Hypergeometric2F1Regularized[a, b, c, -((2*(1 + Sqrt[1 + z]))/z)], (2 + z + 2*Sqrt[1 + z])^(a + b - c)*
   Hypergeometric2F1[-a + c, -b + c, c, -((2*(1 - Sqrt[1 + z]))/z)]*Hypergeometric2F1Regularized[a, b, c, 
    -((2*(1 + Sqrt[1 + z]))/z)], (1 + 2*z + 2*Sqrt[z]*Sqrt[1 + z])^(a + b - c)*Hypergeometric2F1[-a + c, -b + c, c, 
    -2*z + 2*Sqrt[z]*Sqrt[1 + z]]*Hypergeometric2F1Regularized[a, b, c, -2*z - 2*Sqrt[z]*Sqrt[1 + z]], 
  (1 + 2*z + 2*Sqrt[z]*Sqrt[1 + z])^(-a - b + c)*Hypergeometric2F1[-a + c, -b + c, c, -2*(z + Sqrt[z]*Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[a, b, c, -2*(z - Sqrt[z]*Sqrt[1 + z])], (1 + 2*z - 2*Sqrt[z]*Sqrt[1 + z])^(-a - b + c)*
   Hypergeometric2F1[-a + c, -b + c, c, -2*(z - Sqrt[z]*Sqrt[1 + z])]*Hypergeometric2F1Regularized[a, b, c, 
    -2*(z + Sqrt[z]*Sqrt[1 + z])], (1 + 2*z - 2*Sqrt[z]*Sqrt[1 + z])^(a + b - c)*Hypergeometric2F1[-a + c, -b + c, c, 
    -2*z - 2*Sqrt[z]*Sqrt[1 + z]]*Hypergeometric2F1Regularized[a, b, c, -2*z + 2*Sqrt[z]*Sqrt[1 + z]], 
  (1 - 2*z^2 - 2*z*Sqrt[-1 + z^2])^a*Hypergeometric2F1[a, -b + c, c, 2*(z^2 + z*Sqrt[-1 + z^2])]*
   Hypergeometric2F1Regularized[a, b, c, 2*(z^2 + z*Sqrt[-1 + z^2])], (1 - 2*z^2 - 2*z*Sqrt[-1 + z^2])^b*
   Hypergeometric2F1[b, -a + c, c, 2*(z^2 + z*Sqrt[-1 + z^2])]*Hypergeometric2F1Regularized[a, b, c, 2*(z^2 + z*Sqrt[-1 + z^2])], 
  (z + Sqrt[1 + z^2])^(1 + a + b - 2*c)*Hypergeometric2F1[1 - a, 1 - b, 1 - a - b + c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[a, b, c, (z - Sqrt[1 + z^2])/(2*z)], (z + Sqrt[1 + z^2])^(1 - c)*
   Hypergeometric2F1[1 + a - c, 1 + b - c, 1 + a + b - c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[a, b, c, (z - Sqrt[1 + z^2])/(2*z)], (z + Sqrt[1 + z^2])^(a + b - c)*
   Hypergeometric2F1[-a + c, -b + c, 1 - a - b + c, (z - Sqrt[1 + z^2])/(2*z)]*Hypergeometric2F1Regularized[a, b, c, 
    (z - Sqrt[1 + z^2])/(2*z)], (1 + 2*z^2 - 2*z*Sqrt[1 + z^2])^(a + b - c)*Hypergeometric2F1[-a + c, -b + c, c, 
    -2*z*(z + Sqrt[1 + z^2])]*Hypergeometric2F1Regularized[a, b, c, -2*z*(z - Sqrt[1 + z^2])], 
  (1 + 2*z^2 + 2*z*Sqrt[1 + z^2])^(a + b - c)*Hypergeometric2F1[-a + c, -b + c, c, -2*z*(z - Sqrt[1 + z^2])]*
   Hypergeometric2F1Regularized[a, b, c, -2*z*(z + Sqrt[1 + z^2])], (1 + 2*z^2 + 2*z*Sqrt[1 + z^2])^(-a - b + c)*
   Hypergeometric2F1[-a + c, -b + c, c, -2*(z^2 + z*Sqrt[1 + z^2])]*Hypergeometric2F1Regularized[a, b, c, 
    -2*(z^2 - z*Sqrt[1 + z^2])], (1 + 2*z^2 - 2*z*Sqrt[1 + z^2])^(-a - b + c)*Hypergeometric2F1[-a + c, -b + c, c, 
    -2*(z^2 - z*Sqrt[1 + z^2])]*Hypergeometric2F1Regularized[a, b, c, -2*(z^2 + z*Sqrt[1 + z^2])], 
  (-2*(1 + Sqrt[1 - z]) + z)^a*Hypergeometric2F1[a, b, c, (2*(1 + Sqrt[1 - z]))/z]*Hypergeometric2F1Regularized[a, -b + c, c, 
    (2*(1 + Sqrt[1 - z]))/z], (1 - 2*Sqrt[-1 + z]*Sqrt[z] - 2*z)^a*Hypergeometric2F1[a, b, c, 2*(Sqrt[-1 + z]*Sqrt[z] + z)]*
   Hypergeometric2F1Regularized[a, -b + c, c, 2*(Sqrt[-1 + z]*Sqrt[z] + z)], (1 - 2*z^2 - 2*z*Sqrt[-1 + z^2])^a*
   Hypergeometric2F1[a, b, c, 2*(z^2 + z*Sqrt[-1 + z^2])]*Hypergeometric2F1Regularized[a, -b + c, c, 2*(z^2 + z*Sqrt[-1 + z^2])], 
  Sqrt[1 + z]*Hypergeometric2F1[a, b, -(1/2) + a + b, -z]*Hypergeometric2F1Regularized[1/2 + a, -(1/2) + b, -(1/2) + a + b, -z], 
  (Hypergeometric2F1[a, b, 1/2 + a + b, -z]*Hypergeometric2F1Regularized[1/2 + a, -(1/2) + b, 1/2 + a + b, -z])/Sqrt[1 + z], 
  Sqrt[1 + z]*Hypergeometric2F1[a, b, 1/2 + a + b, -z]*Hypergeometric2F1Regularized[1/2 + a, 1/2 + b, 1/2 + a + b, -z], 
  (Hypergeometric2F1[a, b, 1/2 + a + b, -z]*Hypergeometric2F1Regularized[1/2 + a, 1/2 + b, 3/2 + a + b, -z])/Sqrt[1 + z], 
  (1 + Sqrt[1 + z])^((1/2)*(-1 + a + b))*Hypergeometric2F1[a, b, (1/2)*(1 + a + b), (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[(1/2)*(1 + a - b), (1/2)*(1 - a + b), (1/2)*(3 - a - b), (1/2)*(1 - Sqrt[1 + z])], 
  (Sqrt[z] + Sqrt[1 + z])^((1/2)*(-1 + a + b))*Hypergeometric2F1[a, b, (1/2)*(1 + a + b), (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[(1/2)*(1 + a - b), (1/2)*(1 - a + b), (1/2)*(3 - a - b), (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (z + Sqrt[1 + z^2])^((1/2)*(-1 + a + b))*Hypergeometric2F1[a, b, (1/2)*(1 + a + b), (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[(1/2)*(1 + a - b), (1/2)*(1 - a + b), (1/2)*(3 - a - b), (z - Sqrt[1 + z^2])/(2*z)], 
  (-2*(1 + Sqrt[1 - z]) + z)^b*Hypergeometric2F1[a, b, c, (2*(1 + Sqrt[1 - z]))/z]*Hypergeometric2F1Regularized[b, -a + c, c, 
    (2*(1 + Sqrt[1 - z]))/z], (1 - 2*Sqrt[-1 + z]*Sqrt[z] - 2*z)^b*Hypergeometric2F1[a, b, c, 2*(Sqrt[-1 + z]*Sqrt[z] + z)]*
   Hypergeometric2F1Regularized[b, -a + c, c, 2*(Sqrt[-1 + z]*Sqrt[z] + z)], (1 - 2*z^2 - 2*z*Sqrt[-1 + z^2])^b*
   Hypergeometric2F1[a, b, c, 2*(z^2 + z*Sqrt[-1 + z^2])]*Hypergeometric2F1Regularized[b, -a + c, c, 2*(z^2 + z*Sqrt[-1 + z^2])], 
  (1 + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1[1 - a, a, c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[2 - a - c, 1 + a - c, 2 - c, (1/2)*(1 - Sqrt[1 + z])], 
  (Sqrt[z] + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1[1 - a, a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[2 - a - c, 1 + a - c, 2 - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (z + Sqrt[1 + z^2])^(1 - c)*Hypergeometric2F1[1 - a, a, c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[2 - a - c, 1 + a - c, 2 - c, (z - Sqrt[1 + z^2])/(2*z)], 
  (1 + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1[a, 1/2 + a, c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[1 + a - c, 3/2 + a - c, 3/2 + 2*a - c, (1/2)*(1 - Sqrt[1 + z])], 
  (Sqrt[z] + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1[a, 1/2 + a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[1 + a - c, 3/2 + a - c, 3/2 + 2*a - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (z + Sqrt[1 + z^2])^(1 - c)*Hypergeometric2F1[a, 1/2 + a, c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[1 + a - c, 3/2 + a - c, 3/2 + 2*a - c, (z - Sqrt[1 + z^2])/(2*z)], 
  (1 + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1[a, b, c, (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1Regularized[1 + a - c, 1 + b - c, 
    1 + a + b - c, (1/2)*(1 - Sqrt[1 + z])], (Sqrt[z] + Sqrt[1 + z])^(1 - c)*
   Hypergeometric2F1[a, b, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*Hypergeometric2F1Regularized[1 + a - c, 1 + b - c, 1 + a + b - c, 
    (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], (z + Sqrt[1 + z^2])^(1 - c)*Hypergeometric2F1[a, b, c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[1 + a - c, 1 + b - c, 1 + a + b - c, (z - Sqrt[1 + z^2])/(2*z)], 
  (1 + Sqrt[1 + z])^(1/2 + 2*a - c)*Hypergeometric2F1[a, 1/2 + a, c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[-(1/2) - a + c, -a + c, 1/2 - 2*a + c, (1/2)*(1 - Sqrt[1 + z])], 
  (Sqrt[z] + Sqrt[1 + z])^(1/2 + 2*a - c)*Hypergeometric2F1[a, 1/2 + a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[-(1/2) - a + c, -a + c, 1/2 - 2*a + c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (z + Sqrt[1 + z^2])^(1/2 + 2*a - c)*Hypergeometric2F1[a, 1/2 + a, c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[-(1/2) - a + c, -a + c, 1/2 - 2*a + c, (z - Sqrt[1 + z^2])/(2*z)], 
  (2 + z - 2*Sqrt[1 + z])^(-a - b + c)*Hypergeometric2F1[a, b, c, -((2*(1 + Sqrt[1 + z]))/z)]*
   Hypergeometric2F1Regularized[-a + c, -b + c, c, -((2*(1 - Sqrt[1 + z]))/z)], 
  (2 + z + 2*Sqrt[1 + z])^(a + b - c)*Hypergeometric2F1[a, b, c, -((2*(1 + Sqrt[1 + z]))/z)]*
   Hypergeometric2F1Regularized[-a + c, -b + c, c, (2*(-1 + Sqrt[1 + z]))/z], (2 + z + 2*Sqrt[1 + z])^(-a - b + c)*
   Hypergeometric2F1[a, b, c, -((2*(1 - Sqrt[1 + z]))/z)]*Hypergeometric2F1Regularized[-a + c, -b + c, c, 
    -((2*(1 + Sqrt[1 + z]))/z)], (2 + z - 2*Sqrt[1 + z])^(a + b - c)*Hypergeometric2F1[a, b, c, (2*(-1 + Sqrt[1 + z]))/z]*
   Hypergeometric2F1Regularized[-a + c, -b + c, c, -((2*(1 + Sqrt[1 + z]))/z)], (1 + 2*z - 2*Sqrt[z]*Sqrt[1 + z])^(-a - b + c)*
   Hypergeometric2F1[a, b, c, -2*(z + Sqrt[z]*Sqrt[1 + z])]*Hypergeometric2F1Regularized[-a + c, -b + c, c, 
    -2*(z - Sqrt[z]*Sqrt[1 + z])], (1 + 2*z + 2*Sqrt[z]*Sqrt[1 + z])^(-a - b + c)*
   Hypergeometric2F1[a, b, c, -2*(z - Sqrt[z]*Sqrt[1 + z])]*Hypergeometric2F1Regularized[-a + c, -b + c, c, 
    -2*(z + Sqrt[z]*Sqrt[1 + z])], (1 + 2*z - 2*Sqrt[z]*Sqrt[1 + z])^(a + b - c)*
   Hypergeometric2F1[a, b, c, -2*z + 2*Sqrt[z]*Sqrt[1 + z]]*Hypergeometric2F1Regularized[-a + c, -b + c, c, 
    -2*(z + Sqrt[z]*Sqrt[1 + z])], (1 + 2*z + 2*Sqrt[z]*Sqrt[1 + z])^(-a - b + c)*Hypergeometric2F1Regularized[a, b, c, 
    -2*(z - Sqrt[z]*Sqrt[1 + z])]*Hypergeometric2F1Regularized[-a + c, -b + c, c, -2*(z + Sqrt[z]*Sqrt[1 + z])], 
  (1 + 2*z + 2*Sqrt[z]*Sqrt[1 + z])^(a + b - c)*Hypergeometric2F1[a, b, c, -2*(z + Sqrt[z]*Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[-a + c, -b + c, c, -2*z + 2*Sqrt[z]*Sqrt[1 + z]], 
  (1 + 2*z^2 + 2*z*Sqrt[1 + z^2])^(a + b - c)*Hypergeometric2F1[a, b, c, -2*z*(z + Sqrt[1 + z^2])]*
   Hypergeometric2F1Regularized[-a + c, -b + c, c, 2*z*(-z + Sqrt[1 + z^2])], (1 + 2*z^2 - 2*z*Sqrt[1 + z^2])^(a + b - c)*
   Hypergeometric2F1[a, b, c, 2*z*(-z + Sqrt[1 + z^2])]*Hypergeometric2F1Regularized[-a + c, -b + c, c, -2*z*(z + Sqrt[1 + z^2])], 
  (1 + 2*z^2 - 2*z*Sqrt[1 + z^2])^(-a - b + c)*Hypergeometric2F1[a, b, c, -2*(z^2 + z*Sqrt[1 + z^2])]*
   Hypergeometric2F1Regularized[-a + c, -b + c, c, -2*(z^2 - z*Sqrt[1 + z^2])], (1 + 2*z^2 + 2*z*Sqrt[1 + z^2])^(-a - b + c)*
   Hypergeometric2F1[a, b, c, -2*(z^2 - z*Sqrt[1 + z^2])]*Hypergeometric2F1Regularized[-a + c, -b + c, c, 
    -2*(z^2 + z*Sqrt[1 + z^2])], (1 + Sqrt[1 + z])^(a + b - c)*Hypergeometric2F1[a, b, c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[-a + c, -b + c, 1 - a - b + c, (1/2)*(1 - Sqrt[1 + z])], 
  (Sqrt[z] + Sqrt[1 + z])^(a + b - c)*Hypergeometric2F1[a, b, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[-a + c, -b + c, 1 - a - b + c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (z + Sqrt[1 + z^2])^(a + b - c)*Hypergeometric2F1[a, b, c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[-a + c, -b + c, 1 - a - b + c, (z - Sqrt[1 + z^2])/(2*z)], 
  Hypergeometric2F1Regularized[1 - a, a, 2 - c, (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1Regularized[1 - a, a, c, 
    (1/2)*(1 - Sqrt[1 + z])], Hypergeometric2F1Regularized[1 - a, a, 2 - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[1 - a, a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  Hypergeometric2F1Regularized[1 - a, a, 2 - c, (z - Sqrt[1 + z^2])/(2*z)]*Hypergeometric2F1Regularized[1 - a, a, c, 
    (z - Sqrt[1 + z^2])/(2*z)], Hypergeometric2F1Regularized[a, 1/2 + a, 3/2 + 2*a - c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[a, 1/2 + a, c, (1/2)*(1 - Sqrt[1 + z])], 
  Hypergeometric2F1Regularized[a, 1/2 + a, 3/2 + 2*a - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[a, 1/2 + a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  Hypergeometric2F1Regularized[a, 1/2 + a, 3/2 + 2*a - c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[a, 1/2 + a, c, (z - Sqrt[1 + z^2])/(2*z)], 
  Hypergeometric2F1Regularized[1/2 - a, 1/2 - b, 3/2 - a - b, -z]*Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z], 
  Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -z]*Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z], 
  Hypergeometric2F1Regularized[1 - a, 1 - b, (1/2)*(3 - a - b), (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[a, b, (1/2)*(1 + a + b), (1/2)*(1 - Sqrt[1 + z])], 
  Hypergeometric2F1Regularized[1 - a, 1 - b, (1/2)*(3 - a - b), (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[a, b, (1/2)*(1 + a + b), (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  Hypergeometric2F1Regularized[1 - a, 1 - b, (1/2)*(3 - a - b), (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[a, b, (1/2)*(1 + a + b), (z - Sqrt[1 + z^2])/(2*z)], 
  Hypergeometric2F1Regularized[a, b, 1 + a + b - c, (1/2)*(1 - Sqrt[1 + z])]*Hypergeometric2F1Regularized[a, b, c, 
    (1/2)*(1 - Sqrt[1 + z])], Hypergeometric2F1Regularized[a, b, 1 + a + b - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[a, b, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  Hypergeometric2F1Regularized[a, b, c, -2*(z - Sqrt[z]*Sqrt[1 + z])]*Hypergeometric2F1Regularized[a, b, c, 
    -2*(z + Sqrt[z]*Sqrt[1 + z])], Hypergeometric2F1Regularized[a, b, 1 + a + b - c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[a, b, c, (z - Sqrt[1 + z^2])/(2*z)], 
  Hypergeometric2F1Regularized[a, b, c, -2*(z^2 - z*Sqrt[1 + z^2])]*Hypergeometric2F1Regularized[a, b, c, 
    -2*(z^2 + z*Sqrt[1 + z^2])], Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z]*
   Hypergeometric2F1Regularized[a, 1 + b, 1/2 + a + b, -z], Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z]*
   Hypergeometric2F1Regularized[1 + a, b, 1/2 + a + b, -z], Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z]*
   Hypergeometric2F1Regularized[1 + a, 1 + b, 3/2 + a + b, -z], (1 + Sqrt[1 + z])^(3/2 + 2*a - 2*c)*
   Hypergeometric2F1Regularized[1/2 - a, 1 - a, 1/2 - 2*a + c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[a, 1/2 + a, c, (1/2)*(1 - Sqrt[1 + z])], (Sqrt[z] + Sqrt[1 + z])^(3/2 + 2*a - 2*c)*
   Hypergeometric2F1Regularized[1/2 - a, 1 - a, 1/2 - 2*a + c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[a, 1/2 + a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (z + Sqrt[1 + z^2])^(3/2 + 2*a - 2*c)*Hypergeometric2F1Regularized[1/2 - a, 1 - a, 1/2 - 2*a + c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[a, 1/2 + a, c, (z - Sqrt[1 + z^2])/(2*z)], 
  Sqrt[1 + z]*Hypergeometric2F1Regularized[1 - a, 1 - b, 5/2 - a - b, -z]*Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -z], 
  (1 + z)*Hypergeometric2F1Regularized[3/2 - a, 3/2 - b, 5/2 - a - b, -z]*Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -z], 
  Sqrt[1 + z]*Hypergeometric2F1Regularized[-(1/2) + a, -(1/2) + b, -(1/2) + a + b, -z]*
   Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -z], Sqrt[1 + z]*Hypergeometric2F1Regularized[-(1/2) + a, 1/2 + b, 
    -(1/2) + a + b, -z]*Hypergeometric2F1Regularized[a, b, -(1/2) + a + b, -z], 
  Sqrt[1 + z]*Hypergeometric2F1Regularized[1 - a, 1 - b, 3/2 - a - b, -z]*Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z], 
  (1 + Sqrt[1 + z])^(1 + a + b - 2*c)*Hypergeometric2F1Regularized[1 - a, 1 - b, 1 - a - b + c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[a, b, c, (1/2)*(1 - Sqrt[1 + z])], (Sqrt[z] + Sqrt[1 + z])^(1 + a + b - 2*c)*
   Hypergeometric2F1Regularized[1 - a, 1 - b, 1 - a - b + c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[a, b, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  Hypergeometric2F1Regularized[a, b, c, -((2*(1 - Sqrt[1 + z]))/z)]*Hypergeometric2F1Regularized[a, b, c, 
    -((2*(1 + Sqrt[1 + z]))/z)], (z + Sqrt[1 + z^2])^(1 + a + b - 2*c)*Hypergeometric2F1Regularized[1 - a, 1 - b, 1 - a - b + c, 
    (z - Sqrt[1 + z^2])/(2*z)]*Hypergeometric2F1Regularized[a, b, c, (z - Sqrt[1 + z^2])/(2*z)], 
  (-2*(1 + Sqrt[1 - z]) + z)^a*Hypergeometric2F1Regularized[a, b, c, (2*(1 + Sqrt[1 - z]))/z]*
   Hypergeometric2F1Regularized[a, -b + c, c, (2*(1 + Sqrt[1 - z]))/z], (1 - 2*(Sqrt[-1 + z]*Sqrt[z] + z))^a*
   Hypergeometric2F1Regularized[a, b, c, 2*(Sqrt[-1 + z]*Sqrt[z] + z)]*Hypergeometric2F1Regularized[a, -b + c, c, 
    2*(Sqrt[-1 + z]*Sqrt[z] + z)], (1 - 2*(z^2 + z*Sqrt[-1 + z^2]))^a*Hypergeometric2F1Regularized[a, b, c, 
    2*(z^2 + z*Sqrt[-1 + z^2])]*Hypergeometric2F1Regularized[a, -b + c, c, 2*(z^2 + z*Sqrt[-1 + z^2])], 
  (Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z]*Hypergeometric2F1Regularized[1/2 + a, -(1/2) + b, 1/2 + a + b, -z])/
   Sqrt[1 + z], Sqrt[1 + z]*Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z]*Hypergeometric2F1Regularized[1/2 + a, 1/2 + b, 
    1/2 + a + b, -z], (Hypergeometric2F1Regularized[a, b, 1/2 + a + b, -z]*Hypergeometric2F1Regularized[1/2 + a, 1/2 + b, 
     3/2 + a + b, -z])/Sqrt[1 + z], (-2*(1 + Sqrt[1 - z]) + z)^b*Hypergeometric2F1Regularized[a, b, c, (2*(1 + Sqrt[1 - z]))/z]*
   Hypergeometric2F1Regularized[b, -a + c, c, (2*(1 + Sqrt[1 - z]))/z], (1 - 2*Sqrt[-1 + z]*Sqrt[z] - 2*z)^b*
   Hypergeometric2F1Regularized[a, b, c, 2*(Sqrt[-1 + z]*Sqrt[z] + z)]*Hypergeometric2F1Regularized[b, -a + c, c, 
    2*(Sqrt[-1 + z]*Sqrt[z] + z)], (1 - 2*(z^2 + z*Sqrt[-1 + z^2]))^b*Hypergeometric2F1Regularized[a, b, c, 
    2*(z^2 + z*Sqrt[-1 + z^2])]*Hypergeometric2F1Regularized[b, -a + c, c, 2*(z^2 + z*Sqrt[-1 + z^2])], 
  (1 + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1Regularized[1 - a, a, c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[2 - a - c, 1 + a - c, 2 - c, (1/2)*(1 - Sqrt[1 + z])], 
  (Sqrt[z] + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1Regularized[1 - a, a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[2 - a - c, 1 + a - c, 2 - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (z + Sqrt[1 + z^2])^(1 - c)*Hypergeometric2F1Regularized[1 - a, a, c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[2 - a - c, 1 + a - c, 2 - c, (z - Sqrt[1 + z^2])/(2*z)], 
  (1 + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1Regularized[a, 1/2 + a, c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[1 + a - c, 3/2 + a - c, 3/2 + 2*a - c, (1/2)*(1 - Sqrt[1 + z])], 
  (Sqrt[z] + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1Regularized[a, 1/2 + a, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[1 + a - c, 3/2 + a - c, 3/2 + 2*a - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (z + Sqrt[1 + z^2])^(1 - c)*Hypergeometric2F1Regularized[a, 1/2 + a, c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[1 + a - c, 3/2 + a - c, 3/2 + 2*a - c, (z - Sqrt[1 + z^2])/(2*z)], 
  (1 + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1Regularized[a, b, c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[1 + a - c, 1 + b - c, 1 + a + b - c, (1/2)*(1 - Sqrt[1 + z])], 
  (Sqrt[z] + Sqrt[1 + z])^(1 - c)*Hypergeometric2F1Regularized[a, b, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[1 + a - c, 1 + b - c, 1 + a + b - c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (z + Sqrt[1 + z^2])^(1 - c)*Hypergeometric2F1Regularized[a, b, c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[1 + a - c, 1 + b - c, 1 + a + b - c, (z - Sqrt[1 + z^2])/(2*z)], 
  (2 + z - 2*Sqrt[1 + z])^(-a - b + c)*Hypergeometric2F1Regularized[a, b, c, -((2*(1 + Sqrt[1 + z]))/z)]*
   Hypergeometric2F1Regularized[-a + c, -b + c, c, -((2*(1 - Sqrt[1 + z]))/z)], 
  (2 + z + 2*Sqrt[1 + z])^(-a - b + c)*Hypergeometric2F1Regularized[a, b, c, -((2*(1 - Sqrt[1 + z]))/z)]*
   Hypergeometric2F1Regularized[-a + c, -b + c, c, -((2*(1 + Sqrt[1 + z]))/z)], (1 + 2*z - 2*Sqrt[z]*Sqrt[1 + z])^(-a - b + c)*
   Hypergeometric2F1Regularized[a, b, c, -2*(z + Sqrt[z]*Sqrt[1 + z])]*Hypergeometric2F1Regularized[-a + c, -b + c, c, 
    -2*(z - Sqrt[z]*Sqrt[1 + z])], (1 + 2*z^2 - 2*z*Sqrt[1 + z^2])^(-a - b + c)*Hypergeometric2F1Regularized[a, b, c, 
    -2*(z^2 + z*Sqrt[1 + z^2])]*Hypergeometric2F1Regularized[-a + c, -b + c, c, -2*(z^2 - z*Sqrt[1 + z^2])], 
  (1 + 2*z^2 + 2*z*Sqrt[1 + z^2])^(-a - b + c)*Hypergeometric2F1Regularized[a, b, c, -2*(z^2 - z*Sqrt[1 + z^2])]*
   Hypergeometric2F1Regularized[-a + c, -b + c, c, -2*(z^2 + z*Sqrt[1 + z^2])], 
  (1 + Sqrt[1 + z])^(a + b - c)*Hypergeometric2F1Regularized[a, b, c, (1/2)*(1 - Sqrt[1 + z])]*
   Hypergeometric2F1Regularized[-a + c, -b + c, 1 - a - b + c, (1/2)*(1 - Sqrt[1 + z])], 
  (Sqrt[z] + Sqrt[1 + z])^(a + b - c)*Hypergeometric2F1Regularized[a, b, c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])]*
   Hypergeometric2F1Regularized[-a + c, -b + c, 1 - a - b + c, (Sqrt[z] - Sqrt[1 + z])/(2*Sqrt[z])], 
  (z + Sqrt[1 + z^2])^(a + b - c)*Hypergeometric2F1Regularized[a, b, c, (z - Sqrt[1 + z^2])/(2*z)]*
   Hypergeometric2F1Regularized[-a + c, -b + c, 1 - a - b + c, (z - Sqrt[1 + z^2])/(2*z)], KelvinBei[0, z], KelvinBei[ν, z], 
  KelvinBei[-ν, z] + KelvinBei[ν, z], KelvinBei[ν, z]^2, KelvinBei[0, z]^2, KelvinBei[0, z^(1/4)]^2, KelvinBei[ν, z^(1/4)]^2, 
  KelvinBei[-ν, z]*KelvinBei[ν, z], BesselJ[-ν, (-(-1)^(3/4))*z]*KelvinBei[ν, z], BesselJ[ν, (-(-1)^(3/4))*z]*KelvinBei[ν, z], 
  BesselJ[0, (-1)^(3/4)*z]*KelvinBei[0, z], BesselI[0, (-1)^(1/4)*z]*KelvinBei[0, z], BesselI[-ν, (-1)^(1/4)*z]*KelvinBei[ν, z], 
  BesselI[ν, (-1)^(1/4)*z]*KelvinBei[ν, z], (-BesselI[-ν, (-1)^(1/4)*z] + BesselI[ν, (-1)^(1/4)*z])*KelvinBei[ν, z], 
  BesselK[0, (-1)^(1/4)*z]*KelvinBei[0, z], BesselK[ν, (-1)^(1/4)*z]*KelvinBei[ν, z], 
  Hypergeometric0F1[1, (I*z^2)/4]*KelvinBei[0, z], Hypergeometric0F1[1 - ν, (I*z^2)/4]*KelvinBei[ν, z], 
  Hypergeometric0F1[1 + ν, (I*z^2)/4]*KelvinBei[ν, z], Hypergeometric0F1[1, (I*Sqrt[z])/4]*KelvinBei[0, z^(1/4)], 
  Hypergeometric0F1[1 - ν, (I*Sqrt[z])/4]*KelvinBei[ν, z^(1/4)], Hypergeometric0F1[1 + ν, (I*Sqrt[z])/4]*KelvinBei[ν, z^(1/4)], 
  Hypergeometric0F1Regularized[1 - ν, (I*z^2)/4]*KelvinBei[ν, z], Hypergeometric0F1Regularized[1 + ν, (I*z^2)/4]*
   KelvinBei[ν, z], Hypergeometric0F1Regularized[1 - ν, (I*Sqrt[z])/4]*KelvinBei[ν, z^(1/4)], 
  Hypergeometric0F1Regularized[1 + ν, (I*Sqrt[z])/4]*KelvinBei[ν, z^(1/4)], KelvinBer[-ν, z] + KelvinBer[ν, z], 
  KelvinBer[ν, z], KelvinBer[0, z], KelvinBer[ν, z]^2, KelvinBer[0, z]^2, KelvinBer[0, z^(1/4)]^2, KelvinBer[ν, z^(1/4)]^2, 
  KelvinBer[-ν, z]*KelvinBer[ν, z], KelvinBei[ν, z]*KelvinBer[ν, z], KelvinBei[ν, z]*KelvinBer[-ν, z], 
  KelvinBei[-ν, z]*KelvinBer[ν, z], KelvinBei[0, z]*KelvinBer[0, z], KelvinBei[ν, z]^2 - KelvinBer[ν, z]^2, 
  KelvinBei[ν, z]^2 + KelvinBer[ν, z]^2, KelvinBei[0, z]^2 - KelvinBer[0, z]^2, KelvinBei[0, z]^2 + KelvinBer[0, z]^2, 
  KelvinBei[0, z^(1/4)]^2 - KelvinBer[0, z^(1/4)]^2, KelvinBei[0, z^(1/4)]^2 + KelvinBer[0, z^(1/4)]^2, 
  KelvinBei[ν, z^(1/4)]^2 - KelvinBer[ν, z^(1/4)]^2, KelvinBei[ν, z^(1/4)]^2 + KelvinBer[ν, z^(1/4)]^2, 
  KelvinBei[0, z^(1/4)]*KelvinBer[0, z^(1/4)], KelvinBei[ν, z^(1/4)]*KelvinBer[-ν, z^(1/4)], 
  KelvinBei[-ν, z^(1/4)]*KelvinBer[ν, z^(1/4)], KelvinBei[ν, z^(1/4)]*KelvinBer[ν, z^(1/4)], 
  BesselJ[-ν, (-(-1)^(3/4))*z]*KelvinBer[ν, z], BesselJ[ν, (-(-1)^(3/4))*z]*KelvinBer[ν, z], 
  BesselJ[0, (-1)^(3/4)*z]*KelvinBer[0, z], KelvinBei[ν, z^(1/4)]*KelvinBer[μ, z^(1/4)] + 
   KelvinBei[μ, z^(1/4)]*KelvinBer[ν, z^(1/4)], (-KelvinBei[μ, z^(1/4)])*KelvinBei[ν, z^(1/4)] + 
   KelvinBer[μ, z^(1/4)]*KelvinBer[ν, z^(1/4)], KelvinBei[ν, z^(1/4)]*KelvinBer[-ν, z^(1/4)] + 
   KelvinBei[-ν, z^(1/4)]*KelvinBer[ν, z^(1/4)], (-KelvinBei[-ν, z^(1/4)])*KelvinBei[ν, z^(1/4)] + 
   KelvinBer[-ν, z^(1/4)]*KelvinBer[ν, z^(1/4)], BesselI[-ν, (-1)^(1/4)*z]*KelvinBer[ν, z], 
  BesselI[ν, (-1)^(1/4)*z]*KelvinBer[ν, z], BesselI[0, (-1)^(1/4)*z]*KelvinBer[0, z], 
  (-BesselI[-ν, (-1)^(1/4)*z] + BesselI[ν, (-1)^(1/4)*z])*KelvinBer[ν, z], BesselK[0, (-1)^(1/4)*z]*KelvinBer[0, z], 
  BesselK[ν, (-1)^(1/4)*z]*KelvinBer[ν, z], Hypergeometric0F1[1, (I*z^2)/4]*KelvinBer[0, z], 
  Hypergeometric0F1[1 - ν, (I*z^2)/4]*KelvinBer[ν, z], Hypergeometric0F1[1 + ν, (I*z^2)/4]*KelvinBer[ν, z], 
  Hypergeometric0F1[1, (I*Sqrt[z])/4]*KelvinBer[0, z^(1/4)], Hypergeometric0F1[1 - ν, (I*Sqrt[z])/4]*KelvinBer[ν, z^(1/4)], 
  Hypergeometric0F1[1 + ν, (I*Sqrt[z])/4]*KelvinBer[ν, z^(1/4)], Hypergeometric0F1Regularized[1 - ν, (I*z^2)/4]*KelvinBer[ν, z], 
  Hypergeometric0F1Regularized[1 + ν, (I*z^2)/4]*KelvinBer[ν, z], Hypergeometric0F1Regularized[1 - ν, (I*Sqrt[z])/4]*
   KelvinBer[ν, z^(1/4)], Hypergeometric0F1Regularized[1 + ν, (I*Sqrt[z])/4]*KelvinBer[ν, z^(1/4)], KelvinKei[0, z], 
  KelvinKei[ν, z], -KelvinKei[-ν, z] + KelvinKei[ν, z], KelvinKei[-ν, z] + KelvinKei[ν, z], KelvinKei[ν, z]^2, 
  KelvinKei[0, z]^2, KelvinKei[0, z^(1/4)]^2, KelvinKei[ν, z^(1/4)]^2, KelvinKei[-ν, z]*KelvinKei[ν, z], 
  KelvinKei[-ν, z^(1/4)]*KelvinKei[ν, z^(1/4)], KelvinBei[0, z]*KelvinKei[0, z], KelvinBei[ν, z]*KelvinKei[-ν, z], 
  KelvinBei[-ν, z]*KelvinKei[ν, z], KelvinBei[ν, z]*KelvinKei[ν, z], KelvinBei[0, z^(1/4)]*KelvinKei[0, z^(1/4)], 
  KelvinBei[ν, z^(1/4)]*KelvinKei[-ν, z^(1/4)], KelvinBei[-ν, z^(1/4)]*KelvinKei[ν, z^(1/4)], 
  KelvinBei[ν, z^(1/4)]*KelvinKei[ν, z^(1/4)], KelvinBer[0, z]*KelvinKei[0, z], KelvinBer[ν, z]*KelvinKei[-ν, z], 
  KelvinBer[-ν, z]*KelvinKei[ν, z], KelvinBer[ν, z]*KelvinKei[ν, z], KelvinBer[0, z^(1/4)]*KelvinKei[0, z^(1/4)], 
  KelvinBer[ν, z^(1/4)]*KelvinKei[-ν, z^(1/4)], KelvinBer[-ν, z^(1/4)]*KelvinKei[ν, z^(1/4)], 
  KelvinBer[ν, z^(1/4)]*KelvinKei[ν, z^(1/4)], BesselJ[0, (-1)^(1/4)*z]*KelvinKei[0, z], 
  BesselJ[-ν, (-1)^(1/4)*z]*KelvinKei[ν, z], BesselJ[ν, (-1)^(1/4)*z]*KelvinKei[ν, z], BesselI[0, (-1)^(1/4)*z]*KelvinKei[0, z], 
  BesselI[-ν, (-1)^(1/4)*z]*KelvinKei[ν, z], BesselI[ν, (-1)^(1/4)*z]*KelvinKei[ν, z], BesselK[0, (-1)^(1/4)*z]*KelvinKei[0, z], 
  BesselK[ν, (-1)^(1/4)*z]*KelvinKei[ν, z], Hypergeometric0F1[1, (I*z^2)/4]*KelvinKei[0, z], 
  Hypergeometric0F1[1 - ν, (I*z^2)/4]*KelvinKei[ν, z], Hypergeometric0F1[1 + ν, (I*z^2)/4]*KelvinKei[ν, z], 
  Hypergeometric0F1[1, (I*Sqrt[z])/4]*KelvinKei[0, z^(1/4)], Hypergeometric0F1[1 - ν, (I*Sqrt[z])/4]*KelvinKei[ν, z^(1/4)], 
  Hypergeometric0F1[1 + ν, (I*Sqrt[z])/4]*KelvinKei[ν, z^(1/4)], Hypergeometric0F1Regularized[1 - ν, (I*z^2)/4]*KelvinKei[ν, z], 
  Hypergeometric0F1Regularized[1 + ν, (I*z^2)/4]*KelvinKei[ν, z], Hypergeometric0F1Regularized[1 - ν, (I*Sqrt[z])/4]*
   KelvinKei[ν, z^(1/4)], Hypergeometric0F1Regularized[1 + ν, (I*Sqrt[z])/4]*KelvinKei[ν, z^(1/4)], KelvinKer[0, z], 
  KelvinKer[ν, z], -KelvinKer[-ν, z] + KelvinKer[ν, z], KelvinKer[-ν, z] + KelvinKer[ν, z], KelvinKer[0, z]^2, 
  KelvinKer[ν, z]^2, KelvinKer[0, z^(1/4)]^2, KelvinKer[ν, z^(1/4)]^2, KelvinKer[-ν, z]*KelvinKer[ν, z], 
  KelvinKer[-ν, z^(1/4)]*KelvinKer[ν, z^(1/4)], KelvinBei[0, z]*KelvinKer[0, z], KelvinBei[ν, z]*KelvinKer[-ν, z], 
  KelvinBei[-ν, z]*KelvinKer[ν, z], KelvinBei[ν, z]*KelvinKer[ν, z], KelvinBei[0, z^(1/4)]*KelvinKer[0, z^(1/4)], 
  KelvinBei[ν, z^(1/4)]*KelvinKer[-ν, z^(1/4)], KelvinBei[-ν, z^(1/4)]*KelvinKer[ν, z^(1/4)], 
  KelvinBei[ν, z^(1/4)]*KelvinKer[ν, z^(1/4)], KelvinBer[0, z]*KelvinKer[0, z], KelvinBer[ν, z]*KelvinKer[-ν, z], 
  KelvinBer[-ν, z]*KelvinKer[ν, z], KelvinBer[ν, z]*KelvinKer[ν, z], KelvinBer[0, z^(1/4)]*KelvinKer[0, z^(1/4)], 
  KelvinBer[ν, z^(1/4)]*KelvinKer[-ν, z^(1/4)], KelvinBer[-ν, z^(1/4)]*KelvinKer[ν, z^(1/4)], 
  KelvinBer[ν, z^(1/4)]*KelvinKer[ν, z^(1/4)], KelvinKei[ν, z^(1/4)]*KelvinKer[-ν, z^(1/4)], 
  KelvinKei[ν, z^(1/4)]*KelvinKer[ν, z^(1/4)], KelvinKei[0, z^(1/4)]*KelvinKer[0, z^(1/4)], 
  KelvinKei[-ν, z^(1/4)]*KelvinKer[ν, z^(1/4)], KelvinKei[-ν, z^(1/4)]*KelvinKer[-ν, z^(1/4)] + 
   KelvinKei[ν, z^(1/4)]*KelvinKer[ν, z^(1/4)], (-KelvinKei[-ν, z^(1/4)])*KelvinKer[-ν, z^(1/4)] + 
   KelvinKei[ν, z^(1/4)]*KelvinKer[ν, z^(1/4)], KelvinKei[0, z]^2 - KelvinKer[0, z]^2, KelvinKei[0, z]^2 + KelvinKer[0, z]^2, 
  KelvinKei[ν, z]^2 - KelvinKer[ν, z]^2, KelvinKei[ν, z]^2 + KelvinKer[ν, z]^2, 
  KelvinKei[0, z^(1/4)]^2 - KelvinKer[0, z^(1/4)]^2, KelvinKei[0, z^(1/4)]^2 + KelvinKer[0, z^(1/4)]^2, 
  KelvinKei[ν, z^(1/4)]^2 - KelvinKer[ν, z^(1/4)]^2, KelvinKei[ν, z^(1/4)]^2 + KelvinKer[ν, z^(1/4)]^2, 
  KelvinKei[ν, z]*KelvinKer[-ν, z], KelvinKei[ν, z]*KelvinKer[ν, z], KelvinKei[0, z]*KelvinKer[0, z], 
  KelvinKei[-ν, z]*KelvinKer[ν, z], KelvinBei[0, z]*KelvinKei[0, z] + KelvinBer[0, z]*KelvinKer[0, z], 
  KelvinBei[0, z]*KelvinKei[0, z] - KelvinBer[0, z]*KelvinKer[0, z], KelvinBer[0, z]*KelvinKei[0, z] + 
   KelvinBei[0, z]*KelvinKer[0, z], (-KelvinBer[0, z])*KelvinKei[0, z] + KelvinBei[0, z]*KelvinKer[0, z], 
  KelvinBei[ν, z]*KelvinKei[ν, z] + KelvinBer[ν, z]*KelvinKer[ν, z], KelvinBei[ν, z]*KelvinKei[ν, z] - 
   KelvinBer[ν, z]*KelvinKer[ν, z], (-KelvinBer[ν, z])*KelvinKei[ν, z] + KelvinBei[ν, z]*KelvinKer[ν, z], 
  KelvinBer[ν, z]*KelvinKei[ν, z] + KelvinBei[ν, z]*KelvinKer[ν, z], KelvinKei[-ν, z]*KelvinKer[-ν, z] + 
   KelvinKei[ν, z]*KelvinKer[ν, z], (-KelvinKei[-ν, z])*KelvinKer[-ν, z] + KelvinKei[ν, z]*KelvinKer[ν, z], 
  (-KelvinBei[μ, z])*KelvinBei[ν, z] + KelvinBer[μ, z]*KelvinBer[ν, z], KelvinBei[ν, z]*KelvinBer[μ, z] + 
   KelvinBei[μ, z]*KelvinBer[ν, z], KelvinBei[ν, z]*KelvinBer[-ν, z] + KelvinBei[-ν, z]*KelvinBer[ν, z], 
  (-KelvinBei[-ν, z])*KelvinBei[ν, z] + KelvinBer[-ν, z]*KelvinBer[ν, z], KelvinBei[ν, z]*KelvinBer[μ, z] + 
   KelvinBei[μ, z]*KelvinBer[ν, z], KelvinBer[0, z^(1/4)]*KelvinKei[0, z^(1/4)] + KelvinBei[0, z^(1/4)]*KelvinKer[0, z^(1/4)], 
  (-KelvinBer[0, z^(1/4)])*KelvinKei[0, z^(1/4)] + KelvinBei[0, z^(1/4)]*KelvinKer[0, z^(1/4)], 
  (-KelvinBer[ν, z^(1/4)])*KelvinKei[ν, z^(1/4)] + KelvinBei[ν, z^(1/4)]*KelvinKer[ν, z^(1/4)], 
  KelvinBer[ν, z^(1/4)]*KelvinKei[ν, z^(1/4)] + KelvinBei[ν, z^(1/4)]*KelvinKer[ν, z^(1/4)], 
  KelvinBei[0, z^(1/4)]*KelvinKei[0, z^(1/4)] - KelvinBer[0, z^(1/4)]*KelvinKer[0, z^(1/4)], 
  KelvinBei[0, z^(1/4)]*KelvinKei[0, z^(1/4)] + KelvinBer[0, z^(1/4)]*KelvinKer[0, z^(1/4)], 
  KelvinBei[ν, z^(1/4)]*KelvinKei[ν, z^(1/4)] + KelvinBer[ν, z^(1/4)]*KelvinKer[ν, z^(1/4)], 
  KelvinBei[ν, z^(1/4)]*KelvinKei[ν, z^(1/4)] - KelvinBer[ν, z^(1/4)]*KelvinKer[ν, z^(1/4)], 
  BesselJ[0, (-1)^(1/4)*z]*KelvinKer[0, z], BesselJ[-ν, (-1)^(1/4)*z]*KelvinKer[ν, z], BesselJ[ν, (-1)^(1/4)*z]*KelvinKer[ν, z], 
  BesselI[0, (-1)^(1/4)*z]*KelvinKer[0, z], BesselI[-ν, (-1)^(1/4)*z]*KelvinKer[ν, z], BesselI[ν, (-1)^(1/4)*z]*KelvinKer[ν, z], 
  BesselK[0, (-1)^(1/4)*z]*KelvinKer[0, z], BesselK[ν, (-1)^(1/4)*z]*KelvinKer[ν, z], 
  BesselK[0, (-z)^(1/4)]*KelvinKer[0, z^(1/4)], Hypergeometric0F1[1, (I*z^2)/4]*KelvinKer[0, z], 
  Hypergeometric0F1[1 - ν, (I*z^2)/4]*KelvinKer[ν, z], Hypergeometric0F1[1 + ν, (I*z^2)/4]*KelvinKer[ν, z], 
  Hypergeometric0F1[1, (I*Sqrt[z])/4]*KelvinKer[0, z^(1/4)], Hypergeometric0F1[1 - ν, (I*Sqrt[z])/4]*KelvinKer[ν, z^(1/4)], 
  Hypergeometric0F1[1 + ν, (I*Sqrt[z])/4]*KelvinKer[ν, z^(1/4)], Hypergeometric0F1Regularized[1 - ν, (I*z^2)/4]*KelvinKer[ν, z], 
  Hypergeometric0F1Regularized[1 + ν, (I*z^2)/4]*KelvinKer[ν, z], Hypergeometric0F1Regularized[1 - ν, (I*Sqrt[z])/4]*
   KelvinKer[ν, z^(1/4)], Hypergeometric0F1Regularized[1 + ν, (I*Sqrt[z])/4]*KelvinKer[ν, z^(1/4)], AngerJ[ν, z], 
  AngerJ[ν, z] - BesselJ[ν, z], -AngerJ[-ν, z] + AngerJ[ν, z], AngerJ[-ν, z] + AngerJ[ν, z], AngerJ[ν, μ, z], 
  AngerJ[-ν, I*z] + AngerJ[ν, I*z] - 2*BesselI[ν, z]*Cos[(Pi*ν)/2], WeberE[ν, z], WeberE[ν, μ, z], UnitStep[-1 + Abs[z]], 
  UnitStep[1 - Abs[z]], HeavisideTheta[-1 + Abs[z]], HeavisideTheta[1 - Abs[z]], (-z)^(1 + n)*LerchPhi[-z, 1, 1 + n], 
  LerchPhi[1 - z, 1, a], LerchPhi[1 - 1/z, 1, a], (-1 + z)^a*LerchPhi[1 - z, 1, a]*UnitStep[-1 + Abs[z]], 
  (1 - z)^a*LerchPhi[1 - z, 1, a]*UnitStep[1 - Abs[z]], (1 - z)^a*LerchPhi[1 - 1/z, 1, a]*UnitStep[1 - Abs[z]], 
  (-1 + z)^a*LerchPhi[1 - 1/z, 1, a]*UnitStep[-1 + Abs[z]], 
  (1 - z)^(1 + 2*b)*HypergeometricPFQ[{a, -2 + 2*a, b}, {-1 + a, -1 + 2*a - b}, z], 
  (-1 + Sqrt[1 + z])^a*HypergeometricPFQ[{a, b, c}, {1 + a - b, 1 + a - c}, 1 + (2*(1 - Sqrt[1 + z]))/z], 
  HypergeometricPFQ[{a, 1/2 + a, b}, {1 + 2*a + b - c, c}, (4*z)/(1 + z)^2]/(1 + z)^(2*a), 
  ((1 - z)*HypergeometricPFQ[{a, 1/2 + a, b}, {2*a + b - c, c}, (4*z)/(1 + z)^2])/(1 + z)^(2*a), 
  HypergeometricPFQ[{a, 1/2 + a, 1/2 - a + b}, {3/2 + a, b}, (4*z)/(1 + z)^2]/(1 + z)^(2*a), 
  ((8 - z)*HypergeometricPFQ[{a, 1/3 + a, 2/3 + a}, {1/2 + 3*a - b, b}, (27*z^2)/(4 + z)^3])/(4 + z)^(3*a), 
  ((-1 + 8*z)*HypergeometricPFQ[{a, 1/3 + a, 2/3 + a}, {1/2 + 3*a - b, b}, (27*z)/(1 + 4*z)^3])/(1 + 4*z)^(3*a), 
  HypergeometricPFQ[{a, 1/3 + a, 2/3 + a}, {3/2 + 3*a - b, b}, (27*z^2)/(4 + z)^3]/(4 + z)^(3*a), 
  HypergeometricPFQ[{a, 1/3 + a, 2/3 + a}, {3/2 + 3*a - b, b}, (27*z)/(1 + 4*z)^3]/(1 + 4*z)^(3*a), 
  (-Sqrt[z] + Sqrt[1 + z])^a*HypergeometricPFQ[{a, b, c}, {1 + a - b, 1 + a - c}, 1 + 2*z - 2*Sqrt[z]*Sqrt[1 + z]], 
  (-z + Sqrt[1 + z^2])^a*HypergeometricPFQ[{a, b, c}, {1 + a - b, 1 + a - c}, 1 + 2*z^2 - 2*z*Sqrt[1 + z^2]], 
  HypergeometricPFQ[{a1, a2, a3}, {b1, b2}, z], HypergeometricPFQ[{a1, a2, a3}, {b1, b2}, z]*UnitStep[1 - Abs[z]], 
  HypergeometricPFQ[{a1}, {b1, b2}, z], HypergeometricPFQ[{a1, a2}, {b1, b2}, z], HypergeometricPFQ[{a1, a2}, {b1, b2, b3}, z], 
  HypergeometricPFQ[{a1, a2, a3, a4}, {b1, b2, b3}, z]};

Rubi

Albert Rich created the symbolic integration engine Rubi (Rule Based Integration).

http://www.apmaths.uwo.ca/~arich/

Rubi vs. M10 vs. Maple

He tested Rubi against Mathematica 10 and Maple 18 using 55,430 test cases.

BarChart3D[N[{{55315,64,51},{45408,8353,1669},{34433,12749,8248}}/55430],ChartLayout->"Percentile",ChartLegends->Placed[{"Optimal","Nonoptimal","Failure"},Below],ChartLabels->{Placed[{"Rubi","Mathematica","Maple"},Below,"Framed"],None}]

Mathematica 11

For maximally comprehensive testing of Mathematica 11, I took all of Rubi's test cases and all of my test cases (~60,000) that I used for developing Integrate during the wild ‘90s (using Gradshteyn's book, our 5 volumes "Integrals and Series", etc). After removing duplicates there were ~70,000 unique test cases in all.

PieChart3D[N[{64033,5326,655,561}/70575],ChartLegends->Placed[{"Correct","Not evaluated after 120s","Incorrect","Unverified"},Below]]

Fractional and Totally Symbolic Differentiation

By totally symbolic differentiation, we refer to formulas for (((∂^n)f(x))/(∂(x^n))) for general n.

Formulas from books

Derivative[α][f][z]==(∫_0^z)(((((z-t))^(-α-1)) )/(Gamma[-α]))f[t]\[DifferentialD]t

Derivative[n][f][z]==Nest[(∂_z)#1&,f[z],n]

{(f^((α),-))[z]==(∫_z^∞)(((((t-z))^(-α-1)) )/(Gamma[-α]))f[t]\[DifferentialD]t,
(Subscript[f, μ]^((α),+))[z]==(∫_0^z)((((((z^μ)-(t^μ)))^(-α-1)) )/(Gamma[-α]))f[t]\[DifferentialD]t,
(Subscript[f, μ]^((α),-))[z]==(∫_z^∞)((((((t^μ)-(z^μ)))^(-α-1)) )/(Gamma[-α]))f[t]\[DifferentialD]t}

((Subscript[I, a+]^α)f)[z]==(1/(Gamma[α]))(∫_a^z)(((z-t))^(α-1)) f[t]\[DifferentialD]t/;z>a

((Subscript[I, -]^α)f)[z]==(1/(Gamma[α]))(∫_z^∞)(((t-z))^(α-1)) f[t]\[DifferentialD]t

((Subscript[I, a+]^(I θ))f)[z]==(1/(Gamma[1+I θ]))(∫_a^z)(((z-t))^(I θ)) f[t]\[DifferentialD]t/;z>a

((Subscript[I, b-]^(I θ))f)[z]==(1/(Gamma[1+I θ]))(∫_z^b)(((t-z))^(I θ)) f[t]\[DifferentialD]t/;z<b

((Subscript[D, a+]^α)f)[z]==(1/(Gamma[1-α]))D[(∫_a^z)(((z-t))^(-α)) f[t]\[DifferentialD]t,z]/;z>a∧0<α<1

((Subscript[D, b-]^α)f)[z]==(1/(Gamma[1-α]))D[(∫_z^b)(((t-z))^(α-1)) f[t]\[DifferentialD]t,z]/;z<b∧0<α<1

((Subscript[I, 0+]^α)f)[z]==(1/(2π I))(∫_(γ-I ∞)^(γ+I ∞))((Gamma[1-α-s])/(Gamma[1-s])) (SuperStar[f])[s+α](z^(-s))\[DifferentialD]s/;Re[1-α-s]>0∧(SuperStar[f])[s]==(∫_0^∞) (SuperStar[f])[t](z^(s-1))\[DifferentialD]s

((Subscript[I, -]^α)f)[z]==(1/(2π I))(∫_(γ-I ∞)^(γ+I ∞))((Gamma[s])/(Gamma[α+s])) (SuperStar[f])[s+α](z^(-s))\[DifferentialD]s/;Re[s]>0∧(SuperStar[f])[s]==(∫_0^∞) (SuperStar[f])[t](z^(s-1))\[DifferentialD]s

General formulas

f'[z]==Limit[((f[z+ϵ]-f[z])/ϵ),ϵ->0,Analytic->True]

Derivative[n][f][z]==Limit[(1/(ϵ^α))(∑_(k=0)^∞)(((-1))^k) Binomial[α,k] f[z+(α-k) ϵ],ϵ->0,ϵ->0,Analytic->True]

(∂_({z,-1}))f[z]==Integrate[f[t],{t,0,z},GenerateConditions->False]

Derivative[α][f][z]==Limit[(1/(ϵ^α))(∑_(k=0)^∞)(((-1))^k) Binomial[α,k] f[z+(α-k) ϵ],ϵ->0]==Integrate[(((((z-t))^(-α-1)) )/(Gamma[-α]))f[t],{t,0,z},GenerateConditions->False]

f'[z]==Limit[(∂_({z,α}))f[z],α->1]

Derivative[n][f][z]==Nest[(∂_z)#1&,f[z],n]==Limit[(∂_({z,α}))f[z],α->n]==Limit[Integrate[(((((z-t))^(-α-1)) )/(Gamma[-α]))f[t],{t,0,z},GenerateConditions->False],α->n]

(∂_({z,-1}))f[z]==z (∑_(n=0)^∞)((Derivative[n][f][0] (z^n))/((n+1)!))

(∂_({z,α}))f[z]==(({{\[Piecewise], ({{Nest[(∂_z)#1&,f[z],α], α∈Integers&&α>0}, {f[z], α==0}, {Nest[∫#1\[DifferentialD]z&,f[z],-α], α∈Integers&&α<0}, {Integrate[(((((-t+z))^(-1-α)) f[t])/(Gamma[-α])),{t,0,z},GenerateConditions->False], True}})}}))==Integrate[(((((z-t))^(-α-1)) )/(Gamma[-α]))(∑_(n=0)^∞)((Derivative[n][f][0] (t^n))/(n!)),{t,0,z},GenerateConditions->False]==(∑_(n=0)^∞)((Derivative[n][f][0] )/(n!))Integrate[(((((z-t))^(-α-1)) (t^n))/(Gamma[-α])),{t,0,z},GenerateConditions->False]==(∑_(n=0)^∞)((Derivative[n][f][0] ((z^(n-α)) Gamma[1+n]))/(n! Gamma[1+n-α]))==(z^(-α)) (∑_(n=0)^∞)((Derivative[n][f][0] (z^n))/(Gamma[1+n-α]))

({{f(z), (InactiveHead[Limit])[((f(z+ϵ)-f(z))/ϵ),ϵ->0,Analytic->True], Limit[(ϵ^(-n)) (InactiveSum[(((-1))^k) (Binomial[n, k]) f(z+(n-k) ϵ), k, 0, n]),ϵ->0,Analytic->True]}})

({{f(z), (((∂^(-1))f(z))/(∂(z^(-1))))==(InactiveHead[Integrate])[f(t),{t,0,z},GenerateConditions->False], (lim_(ϵ->0)) (ϵ^(-α)) (InactiveSum[(((-1))^k) (Binomial[α, k]) f(z+(α-k) ϵ), k, 0, ∞])==(InactiveHead[Integrate])[((f(t) (((z-t))^(-α-1)))/(Gamma[-α])),{t,0,z},GenerateConditions->False]}, {f(z), f'(z)==(InactiveLimit[Derivative[α][f](z), α->1, InactiveTraditional]), Derivative[n][f](z)==Nest[((∂#1)/(∂z))&,f(z),n]==(InactiveLimit[Derivative[α][f](z), α->n, InactiveTraditional])==(lim_(α->n)) (InactiveHead[Integrate])[((f(t) (((z-t))^(-α-1)))/(Gamma[-α])),{t,0,z},GenerateConditions->False]}, {f(z), z (InactiveSum[(((z^n) Derivative[n][f](0))/((n+1)!)), n, 0, ∞]), Derivative[α][f](z)==(({{\[Piecewise], ({{Nest[((∂#1)/(∂z))&,f(z),α], α∈ℤ∧α>0}, {f(z), α==0}, {Nest[∫#1\[DifferentialD]z&,f(z),-α], α∈ℤ∧α<0}, {(InactiveHead[Integrate])[((f(t) (((z-t))^(-α-1)))/(Gamma[-α])),{t,0,z},GenerateConditions->False], True}})}}))==(InactiveHead[Integrate])[(((((z-t))^(-α-1)) (InactiveSum[(((t^n) Derivative[n][f](0))/(n!)), n, 0, ∞]))/(Gamma[-α])),{t,0,z},GenerateConditions->False]==(InactiveSum[((Derivative[n][f](0) (InactiveHead[Integrate])[(((t^n) (((z-t))^(-α-1)))/(Gamma[-α])),{t,0,z},GenerateConditions->False])/(n!)), n, 0, ∞])==(InactiveSum[((Derivative[n][f](0) (Gamma[n+1]) (z^(n-α)))/(n! (Gamma[n-α+1]))), n, 0, ∞])==(z^(-α)) (InactiveSum[(((z^n) Derivative[n][f](0))/(Gamma[n-α+1])), n, 0, ∞])}})

Some cases: Power

{(z^a),a (z^(-1+a)),(z^(a-n)) Pochhammer[1+a-n,n]},
{(z^a),Piecewise1[{{((z^(1+a))/(1+a)),a≠-1}},Log[z]],Piecewise1[{{(((-1))^α) Pochhammer[-a,α](z^(a-α)),Reduce[α∈Integers&&a∈Integers&&a<0&&a<α]},{(((((-1))^(a-1)) (Log[z]-PolyGamma[1+a-α]+PolyGamma[-a]))/((-a-1)! Gamma[1+a-α]))(z^(a-α)),Reduce[α∈Integers&&a∈Integers&&α≤a<0]}},((Gamma[1+a])/(Gamma[1+a-α]))(z^(a-α))]}

({{(z^a), a (z^(a-1)), (Pochhammer[a-n+1, n]) (z^(a-n))}, {(z^a), ({{\[Piecewise], ({{((z^(a+1))/(a+1)), a≠-1}, {log(z), True}})}}), ({{\[Piecewise], ({{(((-1))^α) (Pochhammer[-a, α]) (z^(a-α)), α∈ℤ∧a∈ℤ∧a<0∧a<α}, {(((((-1))^(a-1)) (z^(a-α)) (-(PolyGamma2[0, a-α+1])+(PolyGamma2[0, -a])+log(z)))/((-a-1)! (Gamma[a-α+1]))), α∈ℤ∧a∈ℤ∧α≤a<0}, {(((Gamma[a+1]) (z^(a-α)))/(Gamma[a-α+1])), True}})}})}})

Some cases: Sin

{Sin[z],Cos[z],Sin[((n π)/2)+z]},
{Sin[z],1-Cos[z],Limit[(ϵ^(-α))Sum1[(((-1))^k)Binomial[α,k]Sin[z+(α-k)ϵ],{k,0,∞}],ϵ->0]==Integrate1[(((((z-t))^(-α-1)) )/(Gamma[-α]))Sin[t],{t,0,z},GenerateConditions->False]==Integrate1[(((((z-t))^(-α-1)) )/(Gamma[-α]))Sum1[(((((-1))^k)(t^(2k+1)))/((2k+1)!)),{k,0,∞}],{t,0,z},GenerateConditions->False]==Sum1[((((-1))^k)/((2k+1)!))Integrate1[(((((z-t))^(-α-1)) )/(Gamma[-α]))(t^(2k+1)),{t,0,z},GenerateConditions->False],{k,0,∞}]==Sum1[((((-1))^k)/((2k+1)!))(((z^(1+2 k-α)) Gamma[2+2 k])/(Gamma[2+2 k-α])),{k,0,∞}]==(((z^(1-α)) HypergeometricPFQ[{1},{1-(α/2),(3/2)-(α/2)},-((z^2)/4)])/(Gamma[2-α]))==(2^(α-1)) (Sqrt[π]) (z^(1-α)) HypergeometricPFQRegularized[{1},{1-(α/2),((3-α)/2)},-((z^2)/4)]}

({{sin(z), cos(z), sin(((π n)/2)+z)}, {sin(z), 1-cos(z), (lim_(ϵ->0)) (ϵ^(-α)) (InactiveSum[(((-1))^k) (Binomial[α, k]) sin(z+(α-k) ϵ), k, 0, ∞])==(InactiveHead[Integrate])[((sin(t) (((z-t))^(-α-1)))/(Gamma[-α])),{t,0,z},GenerateConditions->False]==(InactiveHead[Integrate])[(((((z-t))^(-α-1)) (InactiveSum[(((((-1))^k) (t^(2 k+1)))/((2 k+1)!)), k, 0, ∞]))/(Gamma[-α])),{t,0,z},GenerateConditions->False]==(InactiveSum[(((((-1))^k) (InactiveHead[Integrate])[(((t^(2 k+1)) (((z-t))^(-α-1)))/(Gamma[-α])),{t,0,z},GenerateConditions->False])/((2 k+1)!)), k, 0, ∞])==(InactiveSum[(((((-1))^k) (Gamma[2 k+2]) (z^(-α+2 k+1)))/((2 k+1)! (Gamma[2 k-α+2]))), k, 0, ∞])==(((z^(1-α)) (Subscript[, 1])(Subscript[F, 2])(1;1-(α/2),(3/2)-(α/2);-((z^2)/4)))/(Gamma[2-α]))==(Sqrt[π]) (2^(α-1)) (z^(1-α)) (Subscript[, 1])(Subscript[(OverTilde[F]), 2])(1;1-(α/2),((3-α)/2);-((z^2)/4))}})

Some cases: Exp

{(E^z),(E^z),(E^z)},
{(E^z),(E^z)-1,(E^z) GammaRegularized[-α,0,z]}

({{(E^z), (E^z), (E^z)}, {(E^z), (E^z)-1, (E^z) (GammaRegularized3[-α, 0, z])}})

Enhanced Pattern Matching

To fully apply parametrized formulas to Integrate, we require an extension of Mathematica's current pattern-matching capabilities. Presently, for instance, Mathematica can recognize special cases of ((Cos[x])^α)((Sin[x])^β) for nonzero parameters α and β...

operator[((Cos[x_])^(α_.))((Sin[x_])^(β_.)),x_]:=fun[α,β,x]
operator[((Cos[y])^2)Sin[y],y]

...but we'd additionally need to recognize cases when one or more of the parameters equals zero, which requires a bit more work.

operator[((Cos[y])^2),y]

Easiest solution

Create a function that defines down values for all possibilities of parameters equaling zero.

zeroDefs[fun_,pattern_List,val_,argNonZeroList_:{}]:=With[{argZeroList=Complement[DeleteDuplicates@Cases[pattern,_Symbol,Infinity],argNonZeroList]},
Function[zeroArgs,
With[{arg=Sequence@@(pattern/.Join[Thread[zeroArgs->0],((#->Optional[Pattern[#,_]]&)/@Complement[argZeroList,zeroArgs]),((#->Pattern[#,_]&)/@argNonZeroList)])},
SetDelayed[fun[arg],
Evaluate[val/.Thread[zeroArgs->0]~Join~With[{vanished=Select[Complement[argZeroList,zeroArgs]~Join~argNonZeroList,FreeQ[{arg},#]&]},Thread[vanished->Array[K,Length[vanished]]]]]
]
]
]/@Select[DeleteDuplicatesBy[Subsets[argZeroList],(pattern/.Thread[#->0]&)],(FreeQ[pattern/.Thread[#->0],Indeterminate]&)]
]

Example

zeroDefs[f,{(((a+b*x))^c)Sin[d*x],x},(h[a,b,c,d,x]/;FreeQ[{a,b,c,d},x]),{x}]//Quiet;
DownValues[f]//TableForm

f[Sin[2y],y]

Real Example

zeroDefs[int,{((Sin[x])^α) ((Cos[x])^β) (((a ((Cos[x])^2)+b ((Sin[x])^2)))^γ),x},((1/(1+α)) ((Cos[x])^(-1+β)) (((((Cos[x])^2)))^((1/2)-(β/2))) ((Sin[x])^(1+α)) (((a+(-a+b) ((Sin[x])^2)))^γ) (((1+(-1+(b/a)) ((Sin[x])^2)))^(-γ))AppellF1[((1+α)/2),((1-β)/2),-γ,((3+α)/2),((Sin[x])^2),(((a-b) ((Sin[x])^2))/a)]/;FreeQ[{a,b,α,β,γ},x]),{x}]//Quiet;
DownValues[int]//TableForm

testFun[x_]:=((Sin[x])^2) (((((Cos[x])^2)+3 ((Sin[x])^2)))^δ)
int[testFun[x],x]

Spot check the formula for correctness.

With[{variables=DeleteDuplicates@Cases[testFun,_Symbol,Infinity]},Evaluate[{testFun[x],D[int[testFun[x],x],x]}/.Thread[variables->RandomReal[Length[variables]]]]]

More Scalable Solution

If many formulas are to be implemented, a more efficient implementation of pattern matching is needed. Rather than storing all the down values, see if the parse tree of the input can be fit in as a special case of the parse tree of the left hand side of the formula by working from the top down.

TreeForm/@{((Sin[x])^α) ((Cos[x])^β) (((a ((Cos[x])^2)+b ((Sin[x])^2)))^γ),((Sin[x])^2) (((((Cos[x])^2)+3 ((Sin[x])^2)))^δ)}

Hopefully done sometime next week...

Thank you!