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WindowTitle->4. Special Functions | Laplace Transforms in Theory and Practice
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Special functions are commonly defined as particular solutions to some \
second-order ODEs. These functions can often be expressed in terms of \
infinite power series. Well-known examples of special functions include \
Bessel functions, error functions, exponential integrals, orthogonal \
polynomials and hypergeometric functions. All of these functions play an \
important role in mathematics and its applications. In this chapter, the \
focus will be on exploring the Laplace transforms of these special functions.\
\
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Note that the general solution is a combination of Bessel functions of the \
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Therefore, one expects damping oscillations (why?) in the time domain:\
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Note that for this function, the series expansion method is not applicable \
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