Naslov
Series of Bessel and Kummer-Type Functions

Autori
Baricz, Árpád ; Jankov Maširević, Dragana ; Poganj, Tibor

Vrsta, podvrsta i kategorija knjige
Autorske knjige, monografija, znanstvena

Izdavač
Springer

Grad
Cham

Godina
2018

Stranica
XIX+201

ISBN
978-3-319-74349-3

ISSN
0075-8434

Ključne riječi
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, Cahen formula

Sažetak
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 polivalent applications, mainly in general classical analysis, applied mathematics and mathematical physics.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Fizika, Temeljne tehničke znanosti

POVEZANOST RADA