| Dewey Class |
515.5 |
| Title |
Series of Bessel and Kummer-Type Functions ([EBook]) / by Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány. |
| Author |
Baricz, Árpád |
| Added Personal Name |
Jankov Maširević, Dragana author. |
| Pogány, Tibor K. author. |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Cham : : Springer International Publishing : : Imprint: Springer, , 2017. |
| Physical Details |
XIX, 201 p. : online resource. |
| Series |
Lecture Notes in Mathematics 0075-8434 ; ; 2207 |
| ISBN |
9783319743509 |
| Summary Note |
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.: |
| Contents note |
1. Introduction and Preliminaries -- 2. Neumann Series -- 3. Kapteyn Series -- 4. Schlomilch Series -- 5. Miscellanea. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-3-319-74350-9 |
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