Titlebook: Special Functions in Physics with MATLAB; Wolfgang Schweizer Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusive li

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muster

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grotto

CAGE

Legendre Polynomials and Legendre Functions,rive corresponding program codes supporting complex arguments and complex indices. The code is freely available. The functions covered are Legendre polynomials and Legendre functions of first and second kind, the evaluation of the nodes for the Legendre functions of first kind based on the correspon

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背景

Hypergeometric Functions,ode for download is available. With various coordinate transformations the hypergeometric function will be mapped on arguments outside the unit circle. The numerical techniques used and discussed are direct series expansions, path integral methods and recurrence formulas in dependence of the functio