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

clarify

perpetual

Legendre Polynomials and Legendre Functions,ding Jacobi matrix, the Mehler or conical functions, the toroidal or ring functions, and others. An application is, e.g., the evaluation of spherical harmonics. In dependence of the function arguments and the function indices, the evaluation will be based either on recurrence relations or on hypergeometric functions.

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Mathieu Functions,ed. Similar to the modified Mathieu differential equation, first and second solutions are discussed, and computational methods for evaluating all functions are presented. The corresponding code and, in addition, code for direct integration of the differential equations are available for download.