ANOTHER GENERALIZATION OF A RAMANUJAN SUMMATION

• Journal title : Honam Mathematical Journal
• Volume 35, Issue 1,  2013, pp.83-92
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2013.35.1.83
Title & Authors
ANOTHER GENERALIZATION OF A RAMANUJAN SUMMATION
Lee, Seung Woo; Lee, Chang Hyun; Kim, Yong Sup;

Abstract
The aim of this research paper is to provide certain generalizations of two well-known summations due to Ramanujan. The results are derived with the help of the generalized Dixon's theorem on the sum of $\small{_3F_2}$ and the generalized Kummer's theorem for $\small{_2F_1}$ obtained earlier by Lavoie et al. [3, 5]. As their special cases, we have obtained fifteen interesting summations which are closely related to Ramanujan's summation.
Keywords
Hypergeometric $\small{_2F_1}$;Dixon's summation theorem;Kummer's summation theorem;Ramanujan summation formula;
Language
English
Cited by
References
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