The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION HB

  • Choi, June-Sang (Department of Mathematics, Dongguk University) ;
  • Hasanov, Anvar (Department of Mathematics, I. M. Gubkin Russian State University of Oil and Gas) ;
  • Turaev, Mamasali (Department of Mathematics, Dongguk University)
  • Received : 2012.04.02
  • Accepted : 2012.05.07
  • Published : 2012.05.31
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Abstract

While investigating the Lauricella's list of 14 complete second-order hypergeometric series in three variables, Srivastava noticed the existence of three additional complete triple hypergeometric series of the second order, which were denoted by $H_A$, $H_B$ and $H_C$. Each of these three triple hypergeometric functions $H_A$, $H_B$ and $H_C$ has been investigated extensively in many different ways including, for example, in the problem of finding their integral representations of one kind or the other. Here, in this paper, we aim at presenting further integral representations for the Srivatava's triple hypergeometric function $H_B$.

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References

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