Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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An Identity Involving Product of Generalized Hypergeometric Series 2F2

  • Kim, Yong Sup (Department of Mathematics Education, Wonkwang University) ;
  • Choi, Junesang (Department of Mathematics, Dongguk University) ;
  • Rathie, Arjun Kumar (Department of Mathematics, Vedant College of Engineering & Technology (Rajasthan Technical University))
  • Received : 2018.08.27
  • Accepted : 2018.10.16
  • Published : 2019.06.23
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Abstract

A number of identities associated with the product of generalized hypergeometric series have been investigated. In this paper, we aim to establish an identity involving the product of the generalized hypergeometric series $_2F_2$. We do this using the generalized Kummer-type II transformation due to Rathie and Pogany and another identity due to Bailey. The result presented here, being general, can be reduced to a number of relatively simple identities involving the product of generalized hypergeometric series, some of which are observed to correspond to known ones.

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References

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