GENERALIZATIONS OF CERTAIN SUMMATION FORMULA DUE TO RAMANUJAN

• Journal title : Honam Mathematical Journal
• Volume 34, Issue 1,  2012, pp.35-44
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2012.34.1.35
Title & Authors
GENERALIZATIONS OF CERTAIN SUMMATION FORMULA DUE TO RAMANUJAN
Song, Hyeong-Kee; Kim, Yong-Sup;

Abstract
Motivated by the extension of classical Dixon's summation theorem for the series $\small{_3F_2}$ given by Lavoie, Grondin, Rathie and Arora, the authors aim at deriving four generalized summation formulas, which, upon specializing their parameters, give many summation identities including, especially, the four very interesting summation formulas due to Ramanujan.
Keywords
generalized hypergeometric series;generalized Dixon's summation theorem;Ramanujan summation formula;
Language
English
Cited by
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