[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2004.19.3.569

GENERALIZATION OF WATSON'S THEOREM FOR DOUBLE SERIES

Kim, Yong-Sup (Department of Mathematics Wonkwang University)
Rathie, Arjun-K. (Department of Mathematics Dungar College (Bikaner University))
Park, Chan-Bong (Department of Mathematics Wonkwang University)
Lee, Chang-Hyun (Department of Mathematics Seonam University)

Publication Information

Communications of the Korean Mathematical Society / v.19, no.3, 2004 , pp. 569-576 More about this Journal

Abstract

In 1965, Bhatt and Pandey obtained the Watson's theorem for double series by using Dioxon's theorem on the sum of a $_3F_2$ . The aim of this paper is to derive twenty three results for double series closely related to the Watson's theorem for double series obtained by Bhatt and Pandey. The results are derived with the help of twenty three summation formulas closely related to the Dison's theorem on the sum of a $_3F_2$ obtained in earlier work by Lavoie, Grondin, Rathie and Arora.

Keywords

the generalized Kampe de Feriet function; double series; Watson's theorem; Dioxon's theorem;

Citations & Related Records

Reference

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