APPLICATIONS OF GENERALIZED KUMMER`S SUMMATION THEOREM FOR THE SERIES 2F1

Title & Authors
APPLICATIONS OF GENERALIZED KUMMER`S SUMMATION THEOREM FOR THE SERIES 2F1
Kim, Yong-Sup; Rathie, Arjun K.;

Abstract
The aim of this research paper is to establish generalizations of classical Dixon`s theorem for the series $\small{_3F_2}$, a result due to Bailey involving product of generalized hypergeometric series and certain very interesting summations due to Ramanujan. The results are derived with the help of generalized Kummer`s summation theorem for the series $\small{_2F_1}$ obtained earlier by Lavoie, Grondin, and Rathie.
Keywords
generalized Kummer`s theorem;generalized Dixon`s theorem;generalized Whipple`s theorem;
Language
English
Cited by
1.
ON A NEW CLASS OF SERIES IDENTITIES,;;;;

호남수학학술지, 2015. vol.37. 3, pp.339-352
1.
GENERALIZATIONS OF CERTAIN SUMMATION FORMULA DUE TO RAMANUJAN, Honam Mathematical Journal, 2012, 34, 1, 35
2.
GENERALIZATION OF A RESULT INVOLVING PRODUCT OF GENERALIZED HYPERGEOMETRIC SERIES DUE TO RAMANUJAN, International Journal of Modern Physics: Conference Series, 2013, 22, 679
3.
ON A NEW CLASS OF SERIES IDENTITIES, Honam Mathematical Journal, 2015, 37, 3, 339
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