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＜電子ブック＞
Series of Bessel and Kummer-Type Functions / by Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány
(Lecture Notes in Mathematics. ISSN:16179692 ; 2207)

版	1st ed. 2017.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2017
大きさ	XIX, 201 p : online resource
著者標目	*Baricz, Árpád author Jankov Maširević, Dragana author Pogány, Tibor K author SpringerLink (Online service)
件　名	LCSH:Special functions LCSH:Sequences (Mathematics) LCSH:Functions of real variables LCSH:Functions of complex variables LCSH:Differential equations LCSH:Astronomy FREE:Special Functions FREE:Sequences, Series, Summability FREE:Real Functions FREE:Functions of a Complex Variable FREE:Differential Equations FREE:Astronomy, Cosmology and Space Sciences
一般注記	1. Introduction and Preliminaries -- 2. Neumann Series -- 3. Kapteyn Series -- 4. Schlomilch Series -- 5. Miscellanea 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 HTTP:URL=https://doi.org/10.1007/978-3-319-74350-9

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