SPECIAL FUNCTIONS IN PHYSICS WITH MATLAB [electronic resource].
SCHWEIZER, WOLFGANG.
2021
QC20.7.F87 S39 2021
Available Online

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Title SPECIAL FUNCTIONS IN PHYSICS WITH MATLAB [electronic resource].
Author SCHWEIZER, WOLFGANG.
ISBN 9783030642327 (electronic bk.)
3030642321 (electronic bk.)
3030642313
9783030642310
DOI https://doi.org/10.1007/978-3-030-64232-7
Publication Details [S.l.] : SPRINGER, 2021.
Language English
Description 1 online resource
Item Number 10.1007/978-3-030-64232-7 doi
Call Number QC20.7.F87 S39 2021
Dewey Decimal Classification 530.15556
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Available in Other Form Print version: 9783030642310
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Gamma Functions, Beta Functions, and related
Error Functions and Fresnel Integrals
Legendre Polynomials and Legendre Functions
Bessel and Airy Functions
Struve Functions and Related Functions
Confluent Hypergeometric Function
Coulomb Wave Functions
Hypergeometric Functions
'J' Functions
Jacobi Elliptic Functions
Elliptic Integrals
Weierstraß Functions
Parabolic Cylinder Functions
Mathieu Functions
Orthogonal Polynomials: General Aspects
Hermite Polynomials
Laguerre Polynomials
Chebychev Polynomials
Bernoulli and Euler Polynomials
Riemann Zeta Function
Piecewise Interpolation Polynomials
Wigner- and Clebsch-Gordan Coefficients
Coordinate Systems.

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