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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