Series of Bessel and Kummer-Type Functions

Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
Cover of the book Series of Bessel and Kummer-Type Functions by Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány, Springer International Publishing
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Author: Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány ISBN: 9783319743509
Publisher: Springer International Publishing Publication: March 24, 2018
Imprint: Springer Language: English
Author: Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány
ISBN: 9783319743509
Publisher: Springer International Publishing
Publication: March 24, 2018
Imprint: Springer
Language: English

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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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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