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Series of Bessel and Kummer-Type Functions (CROSBI ID 15890)

Autorska knjiga | monografija (znanstvena) | međunarodna recenzija

Baricz, Árpád ; Jankov Maširević, Dragana ; Poganj, Tibor Series of Bessel and Kummer-Type Functions. Cham: Springer, 2018. doi: 10.1007/978-3-319-74350-9

Podaci o odgovornosti

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

engleski

Series of Bessel and Kummer-Type Functions

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.

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

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Podaci o izdanju

Cham: Springer

2018.

978-3-319-74349-3

0075-8434

XIX+201

Lecture Notes in Mathematics; 2207 (ISSN: 0075-8434)

objavljeno

10.1007/978-3-319-74350-9

Povezanost rada

Fizika, Matematika, Temeljne tehničke znanosti

Poveznice
Indeksiranost