GENERALIZATIONS OF GAUSS'S SECOND SUMMATION THEOREM AND BAILEY'S FORMULA FOR THE SERIES 2F1(1/2)

Title & Authors
GENERALIZATIONS OF GAUSS'S SECOND SUMMATION THEOREM AND BAILEY'S FORMULA FOR THE SERIES 2F1(1/2)
Rathie, Arjun K.; Kim, Yong-Sup; Choi, June-Sang;

Abstract
We aim mainly at presenting two generalizations of the well-known Gauss's second summation theorem and Bailey's formula for the series $\small{_2F_1(1/2)}$. An interesting transformation formula for $\small{_pF_q}$ is obtained by combining our two main results. Relevant connections of some special cases of our main results with those given here or elsewhere are also pointed out.
Keywords
generalized hypergeometric series $\small{_pF_q}$;summation theorems for $\small{_pF_q}$;
Language
English
Cited by
References
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