Pregled bibliografske jedinice broj: 990228
On the crossed term integral occuring in the Coulomb self-energy of uniformly charged hollow cylinder
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
CROSBI ID: 990228 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the crossed term integral occuring in the Coulomb self-energy of uniformly charged hollow cylinder
Autori
Baricz, Arpad ; Poganj, Tibor
Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni
Knjiga
Recent Advances in Intelligent Engineering
Urednik/ci
Kovács, Levente ; Haidegger, Tamas ; Szakál, Aniko
Izdavač
Springer
Grad
Cham
Godina
2019
Raspon stranica
209-222
ISBN
978-3-030-14349-7
ISSN
7891-352X
Ključne riječi
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
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Fizika
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Book Citation Index - Science (BKCI-S)