Series of Bessel and Kummer-Type Functions

1. Auflage 2017
ISBN: 978-3-319-74349-3
Verlag: Springer International Publishing

Buch, Englisch, Band 2207, 201 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 347 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Baricz, Árpád

Pogány, Tibor K.

Jankov Maširevic, Dragana

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Naturwissenschaften Astronomie Astronomie: Allgemeines

Inhaltsverzeichnis

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