Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Reduction Formulas for Srivastava's Triple Hypergeometric Series F(3)[x, y, z]

  • CHOI, JUNESANG (Department of Mathematics, Dongguk University) ;
  • WANG, XIAOXIA (Department of Mathematics, Shanghai University) ;
  • RATHIE, ARJUN K. (Department of Mathematics, School of Mathematical & Physical Sciences, Central University of Kerala, Riverside Transit Campus)
  • Received : 2013.06.21
  • Accepted : 2013.11.04
  • Published : 2015.06.23
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Abstract

Very recently the authors have obtained a very interesting reduction formula for the Srivastava's triple hypergeometric series $F^{(3)}$(x, y, z) by applying the so-called Beta integral method to the Henrici's triple product formula for the hypergeometric series. In this sequel, we also present three more interesting reduction formulas for the function $F^{(3)}$(x, y, z) by using the well known identities due to Bailey and Ramanujan. The results established here are simple, easily derived and (potentially) useful.

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References

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