02524nam a2200421 i 4500991003628119707536m o d cr cnu|||unuuu190321s2017 sz ob 001 0 eng d9783319743509(electronic bk.)3319743503(electronic bk.)10.1007/978-3-319-74350-9doib14362508-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng515.5323AMS 33C10Baricz, Árpád478939Series of Bessel and Kummer-type functions[e-book] /Árpád Baricz, Dragana Jankov Maširević, Tibor K. PogányCham, Switzerland :Springer,20171 online resource (xix, 201 pages)texttxtrdacontentcomputercrdamediaonline resourcecrrdacarrierLecture notes in mathematics,0075-8434 ;2207Includes bibliographical references and index1. Introduction and Preliminaries -- 2. Neumann Series -- 3. Kapteyn Series -- 4. Schlomilch Series -- 5. MiscellaneaThis 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 physicsBessel functionsFunctions, SpecialJankov Masǐrević, DraganaPogańy, Tibor K.Printed edition:9783319743493An electronic book accessible through the World Wide Webhttps://link.springer.com/book/10.1007/978-3-319-74350-9.b1436250803-03-2221-03-19991003628119707536Series of Bessel and Kummer-type functions1749802UNISALENTOle01321-03-19m@ -engsz 00