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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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发表于 2025-3-21 18:46:34 | 显示全部楼层 |阅读模式
书目名称Special Functions in Physics with MATLAB
编辑Wolfgang Schweizer
视频video
概述Includes a MATLAB toolbox with detailed html-documentation.Covers more than 170 special functions useful in physics, applied mathematics, and engineering.Provides functions-related computational hints
图书封面Titlebook: Special Functions in Physics with MATLAB;  Wolfgang Schweizer Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusive li
描述This 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 with other programming languages as well. The book comes with MATLAB-based programs for each of these functions and a detailed html-based documentation. Some of the explained functions are: Gamma and Beta functions; Legendre functions, which are linked to quantum mechanics and electrodynamics; Bessel functions; hypergeometric functions, which play an important role in mathematical physics; orthogonal polynomials, which are largely used in computational physics; and Riemann zeta functions, which play an important role, e.g.,  in quantum chaos or string theory. The book’s primary audience are scientists, professionals working in research areas of industries, and advanced students in physics, applied mathematics, and engineering.
出版日期Book 2021
关键词complex gamma and beta functions; complex elliptic functions; zeta functions; hypergeometric functions;
版次1
doihttps://doi.org/10.1007/978-3-030-64232-7
isbn_softcover978-3-030-64231-0
isbn_ebook978-3-030-64232-7
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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发表于 2025-3-21 23:03:56 | 显示全部楼层
,Weierstraß Functions,The chapter’s target are the Weierstraß functions .(., .), .(., .), and .(., .). In addition, several related functions, e.g., the lattice roots, the modular function, or Klein’s complete invariant, are also discussed. m-Code for all functions is available for download.
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Coulomb Wave Functions,pherical representation of the Schrödinger equation with different scaling techniques, will be discussed and evaluated, as well as the Coulomb wave function (scattering states) based on the Schrödinger equation in parabolic coordinates. The corresponding programming codes are available for download.
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Functions,ions is based on a Fourier series expansion, optimized by taking their quasi periodic behavior on a lattice into account and various coordinate transformations. A similar strategy is used for evaluating Dedekind’s . function. The corresponding m-files are available for download.
发表于 2025-3-23 07:51:59 | 显示全部楼层
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