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Series of Bessel and Kummer-Type Functions / by Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2381-2383 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Baricz, Árpád., Author.
- Jankov Maširević, Dragana., Author.
- Pogány, Tibor K., Author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 2207
- Language:
- English
- Subjects (All):
- Functions, Special.
- Sequences (Mathematics).
- Functions of real variables.
- Functions of complex variables.
- Differential equations.
- Astronomy.
- Astrophysics.
- Special Functions.
- Sequences, Series, Summability.
- Real Functions.
- Functions of a Complex Variable.
- Ordinary Differential Equations.
- Astronomy, Astrophysics and Cosmology.
- Local Subjects:
- Special Functions.
- Sequences, Series, Summability.
- Real Functions.
- Functions of a Complex Variable.
- Ordinary Differential Equations.
- Astronomy, Astrophysics and Cosmology.
- Physical Description:
- 1 online resource (XIX, 201 p.)
- Edition:
- 1st ed. 2017.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2017.
- Summary:
- 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:
- 1. Introduction and Preliminaries
- 2. Neumann Series
- 3. Kapteyn Series
- 4. Schlomilch Series
- 5. Miscellanea.
- ISBN:
- 3-319-74350-3
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