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MARC 21

Series of Bessel and Kummer-Type Functions
Tag Description
020$a9783319743509$9978-3-319-74350-9
082$a515.5$223
099$aOnline resource: Springer
100$aBaricz, Árpád.
245$aSeries of Bessel and Kummer-Type Functions$h[EBook]$cby Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány.
260$aCham :$bSpringer International Publishing :$bImprint: Springer,$c2017.
300$aXIX, 201 p.$bonline resource.
336$atext$btxt$2rdacontent
337$acomputer$bc$2rdamedia
338$aonline resource$bcr$2rdacarrier
440$aLecture Notes in Mathematics,$x0075-8434 ;$v2207
505$a1. Introduction and Preliminaries -- 2. Neumann Series -- 3. Kapteyn Series -- 4. Schlomilch Series -- 5. Miscellanea.
520$aThis 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.
538$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700$aJankov Maširević, Dragana.$eauthor.
700$aPogány, Tibor K.$eauthor.
710$aSpringerLink (Online service)
830$aLecture Notes in Mathematics,$x0075-8434 ;$v2207
856$uhttp://dx.doi.org/10.1007/978-3-319-74350-9
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