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Generalization of Whipple's theorem for double series
Arjun K. Rathie,Vimal K. Gaur,Yong Sup Kim,Chan Bong Park 호남수학회 2004 호남수학학술지 Vol.26 No.1
In 1965, Bhatt and Pandey have obtained an analogue of the Whipple's theorem for double series by using Watson's theo- rem on the sum of a 3F2. The aim of this paper is to derive twenty 칥e results for double series closely related to the analogue of the Whipple's theorem for double series obtained by Bhatt and Pandey. The results are derived with the help of twenty 칥e summation for- mulas closely related to the Watson's theorem on the sum of a 3F2 obtained recently by Lavoie, Grondin, and Rathie.
GENERALIZATION OF WHIPPLE'S THEOREM FOR DOUBLE SERIES
RATHIE, ARJUN K.,GAUR, VIMAL K.,KIM, YONG SUP,PARK, CHAN BONG The Honam Mathematical Society 2004 호남수학학술지 Vol.26 No.1
In 1965, Bhatt and Pandey have obtained an analogue of the Whipple's theorem for double series by using Watson's theorem on the sum of a $_3F_2$. The aim of this paper is to derive twenty five results for double series closely related to the analogue of the Whipple's theorem for double series obtained by Bhatt and Pandey. The results are derived with the help of twenty five summation formulas closely related to the Watson's theorem on the sum of a $_3F_2$ obtained recently by Lavoie, Grondin, and Rathie.