Series of Bessel and Kummer-Type Functions

  • Árpád Baricz
  • Dragana Jankov Maširević
  • Tibor K. Pogány

Part of the Lecture Notes in Mathematics book series (LNM, volume 2207)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány
    Pages 1-25
  3. Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány
    Pages 27-86
  4. Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány
    Pages 87-111
  5. Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány
    Pages 113-138
  6. Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány
    Pages 139-184
  7. Back Matter
    Pages 185-203

About this book

Introduction

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.

Keywords

Fourier-Bessel Series Bessel Functions Family Integral Representations Neumann Series of Bessel Functions Family Members Kapteyn Series of Bessel Functions Family Members Kapteyn Series of Kummer Functions Schlömilch Series Dini Series Dirichlet Series Cahen Formula

Authors and affiliations

  • Árpád Baricz
    • 1
  • Dragana Jankov Maširević
    • 2
  • Tibor K. Pogány
    • 3
  1. 1.John von Neumann Faculty of Informatics, Institute of Applied MathematicsÓbuda UniversityBudapestHungary
  2. 2.Department of MathematicsJosip Juraj Strossmayer University of OsijekOsijekCroatia
  3. 3.Faculty of Maritime StudiesUniversity of RijekaRijekaCroatia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-74350-9
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-74349-3
  • Online ISBN 978-3-319-74350-9
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book
Industry Sectors
Biotechnology