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ANOTHER GENERALIZATION OF A RAMANUJAN SUMMATION
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  • 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;
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 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
 Cited by
 References
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3.
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4.
J.L Lavoie, F Grondin, and A.K. Rathie, Generalizations of Whipple's theorem on the sum of a $_3F_2$, J. Comput. Appl. Math. 72(2) (1996), 293-300. crossref(new window)

5.
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6.
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