Evaluation of a new class of double definite integrals
Commun. Korean Math. Soc. 2017 Vol. 32, No. 4, 979-990
https://doi.org/10.4134/CKMS.c170012
Published online October 31, 2017
S\'ebastien Gaboury, Arjun Kumar Rathie
University of Qu\'{e}bec at Chicoutimi, Riverside Transit Campus, Padennakad
Abstract : Inspired by the results obtained by Brychkov (\cite{Brychkov2002}), the authors evaluate a large number of new and interesting double definite integrals. The results are obtained with the use of classical hypergeometric summation theorems and a well-known double finite integral due to Edwards (\cite{Edwards}). The results are given in terms of Psi and Hurwitz zeta functions suitable for numerical computations.
Keywords : hypergeometric functions, integrals, special functions, summation theorems
MSC numbers : Primary 33C20, 33C10
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