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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Ingrained

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Chebyshev Polynomials,nsions into the complex domain. The polynomials can be generalized to functions with complex degree. The evaluation could be based on recurrence relations, on hypergeometric functions or on trigonometric series with generalizations to the complex domain via conformal mapping. Code for evaluating the

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Bernoulli and Euler Polynomials,ds can be used in dependence of the polynomial degree and argument: Direct integration, direct integration in combination with argument transformations, or expansions with respect to trigonometric series. Corresponding MATLAB code can be downloaded.

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d engineering.Provides functions-related computational hintsThis handbook focuses on special functions in physics in the real and complex domain. It covers more than 170 different functions with additional numerical hints for efficient computation, which are useful to anyone who needs to program wit