Overview
- Features novel mathematical tools and ideas which complement those in the classical theory of special functions
- Includes results on Bessel and Kummer type series which are applicable to problems in mathematical physics
- Contains an exhaustive list of references and links to further literature
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2207)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schlömilch, Dini and Fourier series of Bessel and other special functions, such as Struve and von Lommel functions. The aim is also to find the coefficients of the Neumann and Kapteyn series, as well as closed-form expressions and summation formulas for the series of Bessel functions considered. Some integral representations are deduced using techniques from the theory of differential equations.
The text is aimed at a mathematical audience, including graduate students and those in the scientific community who are interested in a new perspective on Fourier–Bessel series, and their manifold and polyvalent applications, mainly in general classical analysis, applied mathematics and mathematical physics.
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Authors and Affiliations
Bibliographic Information
Book Title: Series of Bessel and Kummer-Type Functions
Authors: Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-74350-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2017
Softcover ISBN: 978-3-319-74349-3Published: 25 March 2018
eBook ISBN: 978-3-319-74350-9Published: 24 March 2018
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIX, 201
Topics: Special Functions, Sequences, Series, Summability, Real Functions, Functions of a Complex Variable, Ordinary Differential Equations, Astronomy, Astrophysics and Cosmology