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Titlebook: Series of Bessel and Kummer-Type Functions; Árpád Baricz,Dragana Jankov Maširević,Tibor K. Pog Book 2017 Springer International Publishing

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书目名称Series of Bessel and Kummer-Type Functions
编辑Árpád Baricz,Dragana Jankov Maširević,Tibor K. Pog
视频video
概述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 ma
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Series of Bessel and Kummer-Type Functions;  Árpád Baricz,Dragana Jankov Maširević,Tibor K. Pog Book 2017 Springer International Publishing
描述.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..
出版日期Book 2017
关键词Fourier-Bessel Series; Bessel Functions Family; Integral Representations; Neumann Series of Bessel Func
版次1
doihttps://doi.org/10.1007/978-3-319-74350-9
isbn_softcover978-3-319-74349-3
isbn_ebook978-3-319-74350-9Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing AG, part of Springer Nature 2017
The information of publication is updating

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Series of Bessel and Kummer-Type Functions978-3-319-74350-9Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Kapteyn Series,In this chapter we deduce several results for Kapteyn series of Bessel and Kummer hypergeometric functions. We present some integral representations and results on coefficients by using the Euler-Maclaurin summation technique and the differential equation technique.
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