[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c170012

EVALUATION OF A NEW CLASS OF DOUBLE DEFINITE INTEGRALS

Gaboury, Sebastien (Department of Mathematics and Computer Science University of Quebec at Chicoutimi)
Rathie, Arjun Kumar (Department of Mathematics School of Mathematical and Physical Sciences Central University of Kerala Riverside Transit Campus)

Publication Information

Communications of the Korean Mathematical Society / v.32, no.4, 2017 , pp. 979-990 More about this Journal

Abstract

Inspired by the results obtained by Brychkov ([2]), 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 ([3]). The results are given in terms of Psi and Hurwitz zeta functions suitable for numerical computations.

Keywords

hypergeometric functions; integrals; special functions; summation theorems;

Citations & Related Records

Reference

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