Series of Bessel and Kummer-Type Functions

Author:   Árpád Baricz ,  Dragana Jankov Maširević ,  Tibor K. Pogány
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2017
Volume:   2207
ISBN:  

9783319743493


Pages:   201
Publication Date:   25 March 2018
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Series of Bessel and Kummer-Type Functions


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Overview

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.

Full Product Details

Author:   Árpád Baricz ,  Dragana Jankov Maširević ,  Tibor K. Pogány
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2017
Volume:   2207
Weight:   0.454kg
ISBN:  

9783319743493


ISBN 10:   331974349
Pages:   201
Publication Date:   25 March 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. Introduction and Preliminaries.- 2. Neumann Series.- 3. Kapteyn Series.- 4. Schlomilch Series.- 5. Miscellanea.

Reviews

The authors of this book give an extensive study related to the series of Bessel- and Kummer-type functions. ... The book also represents a solid source for master's and PH.D. students that are starting their research careers in the field of mathematical analysis, applied mathematics and mathematical physics, to name but a few. (Trufce Sandev, Mathematical Reviews, February, 2019)


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