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GENERALIZATIONS OF CERTAIN SUMMATION FORMULA DUE TO RAMANUJAN

Song, Hyeong-Kee;Kim, Yong-Sup

  • Received : 2011.10.31
  • Accepted : 2011.11.16
  • Published : 2012.03.25

Abstract

Motivated by the extension of classical Dixon's summation theorem for the series $_3F_2$ 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

References

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