Evaluation of a new class of double definite integrals
Commun. Korean Math. Soc. 2017 Vol. 32, No. 4, 979-990
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
Downloads: Full-text PDF  

Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd