• Title/Summary/Keyword: hypergeo-metric series

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SOME PRODUCT FORMULAS OF THE GENERALIZED HYPERGEOMETRIC SERIES

  • Cho, Young-Joon;Seo, Tae-Young;Choi, June-Sang
    • Communications of the Korean Mathematical Society
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    • v.14 no.4
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    • pp.843-850
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    • 1999
  • The object of this paper is to give certain classes of pre-sumably new product formulas involving the generalized hypergeo-metric series by modifying the elementary method suggested by Bai-ley.

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INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION HC

  • Choi, Junesang;Hasanov, Anvar;Turaev, Mamasali
    • Honam Mathematical Journal
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    • v.34 no.4
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    • pp.473-482
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    • 2012
  • 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 hypergeo-metric 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 $H_C$.