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On the crossed term integral occuring in the Coulomb self-energy of uniformly charged hollow cylinder (CROSBI ID 63444)

Prilog u knjizi | izvorni znanstveni rad | međunarodna recenzija

Baricz, Arpad ; Poganj, Tibor On the crossed term integral occuring in the Coulomb self-energy of uniformly charged hollow cylinder // Recent Advances in Intelligent Engineering / Kovács, Levente ; Haidegger, Tamas ; Szakál, Aniko (ur.). Cham: Springer, 2019. str. 209-222 doi: 10.1007/978-3-030-14350-3_11

Podaci o odgovornosti

Baricz, Arpad ; Poganj, Tibor

engleski

On the crossed term integral occuring in the Coulomb self-energy of uniformly charged hollow cylinder

The article aims at studying elliptic integral form of the so–called crossed term integral occurring in description of Coulomb self-energy of a uniformly charged three-dimensional hollow cylinder. Firstly, uniform bounds are established for the Kampé de Fériet double hypergeometric function occurring in the recent related results by Batle, Ciftja and Pogány [4]. Secondly, related bilateral bounding inequalities are obtained for the expressions established in terms of elliptic integrals.

Generalized hypergeometric function ; Kampé de Fériet hypergeometric function of two variables ; Bessel function of the first kind ; Elliptic integrals of the first and second kind ; Generalized hypergeometric function pFq

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Podaci o prilogu

209-222.

objavljeno

10.1007/978-3-030-14350-3_11

Podaci o knjizi

Recent Advances in Intelligent Engineering

Kovács, Levente ; Haidegger, Tamas ; Szakál, Aniko

Cham: Springer

2019.

978-3-030-14349-7

7891-352X

Povezanost rada

Fizika, Matematika

Poveznice