TY  - BOOK
AU  - Baricz,Árpád
AU  - Jankov Maširević,Dragana
AU  - Pogány,Tibor K.
ED  - SpringerLink (Online service)
TI  - Series of Bessel and Kummer-Type Functions
T2  - Lecture Notes in Mathematics,
SN  - 9783319743509
AV  - QA351 
U1  - 515.5 23
PY  - 2017///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Special functions
KW  - Sequences (Mathematics)
KW  - Functions of real variables
KW  - Functions of complex variables
KW  - Differential equations
KW  - Astronomy
KW  - Astrophysics
KW  - Special Functions
KW  - Sequences, Series, Summability
KW  - Real Functions
KW  - Functions of a Complex Variable
KW  - Ordinary Differential Equations
KW  - Astronomy, Astrophysics and Cosmology
N1  - 1. Introduction and Preliminaries -- 2. Neumann Series -- 3. Kapteyn Series -- 4. Schlomilch Series -- 5. Miscellanea
N2  - 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
UR  - https://doi.org/10.1007/978-3-319-74350-9
ER  -