Series of Bessel and Kummer-Type Functions

• Main Authors: Baricz, Árpád (Author, http://id.loc.gov/vocabulary/relators/aut), Jankov Maširević, Dragana (http://id.loc.gov/vocabulary/relators/aut), Pogány, Tibor K. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Edition: 1st ed. 2017.
• Series: Lecture Notes in Mathematics, 2207
• Subjects: Special functions.; 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.

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 clos...

Table of Contents:

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