GENERALIZATION OF WATSON'S THEOREM FOR DOUBLE SERIES

Title & Authors
GENERALIZATION OF WATSON'S THEOREM FOR DOUBLE SERIES
Kim, Yong-Sup; Rathie, Arjun-K.; Park, Chan-Bong; Lee, Chang-Hyun;

Abstract
In 1965, Bhatt and Pandey obtained the Watson's theorem for double series by using Dioxon's theorem on the sum of a $\small{_3F_2}$. 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 $\small{_3F_2}$ 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;
Language
English
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References
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