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;

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 and the generalized Kummer's theorem for 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 ;Dixon's summation theorem;Kummer's summation theorem;Ramanujan summation formula;

Language

English

References

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