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Series of Bessel and Kummer-Type Functions. 2017 ed..
・ISBN 978-3-319-74349-3 paper EUR 49.99
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| 著者・編者 | Baricz, Arpad / Jankov Masirevic, Dragana / Pogany, Tibor K., |
|---|---|
| シリーズ | Lecture Notes in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2018 |
| ページ数 | 201 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-14734> |
解説
This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schloemilch, 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.