MARC状态：已编 文献类型：电子图书 浏览次数：108
- 题名/责任者:
- Series of Bessel and Kummer-Type Functions by Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány.
- 出版发行项:
- Cham : Springer International Publishing : Imprint: Springer, 2017.
- ISBN:
- 9783319743509
- 其它标准号:
- 10.1007/978-3-319-74350-9
- 载体形态项:
- XIX, 201 p. online resource.
- 主文献:
- Springer eBooks
- 其他载体形态:
- Printed edition: 9783319743493
- 丛编说明:
- Lecture Notes in Mathematics, 0075-8434 ; 2207
- 丛编统一题名:
- Lecture Notes in Mathematics, 2207
- 个人责任者:
- Baricz, Árpád. author.
- 附加个人名称:
- Jankov Maširević, Dragana. author.
- 附加个人名称:
- Pogány, Tibor K. author.
- 附加团体名称:
- SpringerLink (Online service)
- 论题主题:
- Mathematics.
- 论题主题:
- Differential equations.
- 论题主题:
- Sequences (Mathematics).
- 论题主题:
- Special functions.
- 论题主题:
- Astronomy.
- 论题主题:
- Astrophysics.
- 论题主题:
- Cosmology.
- 论题主题:
- Mathematics.
- 论题主题:
- Special Functions.
- 论题主题:
- Real Functions.
- 中图法分类号:
- O174.61
- 内容附注:
- 1. Introduction and Preliminaries -- 2. Neumann Series -- 3. Kapteyn Series -- 4. Schlomilch Series -- 5. Miscellanea.
- 摘要附注:
- 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.
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