A New Class of Double Integrals
Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2021, v.28 no.2, pp.111-117
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.2.111
Anil, Aravind K.
Prathima, J.
Kim, Insuk
Anil,,
A.
K.
, Prathima,,
J.
, &
Kim,,
I.
(2021). A New Class of Double Integrals. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 28(2), 111-117, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.2.111
Abstract
In this paper we aim to establish a new class of six definite double integrals in terms of gamma functions. The results are obtained with the help of some definite integrals obtained recently by Kim and Edward equality. The results established in this paper are simple, interesting, easily established and may be useful potentially.
- keywords
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generalized hypergeometric functions,
classical summation theorems,
integral representation for <tex> $_2F_1$</tex>