Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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NOTE ON SRIVASTAVA'S TRIFLE HYPERGEOMETRIC SERIES HA AND HC

  • Kim, Yong-Sup (Department of Mathematics Wonkwang University) ;
  • Rathie, Arjun-K. (Department of Mathematics Dungar College (M.D.S. University)) ;
  • Choi, June-Sang (Department of Mathematics College of Natural Sciences Dongguk University)
  • Published : 2003.07.01
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Abstract

The aim of this note is to consider some interesting reducible cases of $H_{A}\;and\;H_{C}$ introduced by Srivastava who actually noticed the existence of three additional complete triple hypergeometric functions $H_{A},\;H_{B},\;and\;H_{C}$ of the second order in the course of an extensive investigation of Lauricella's fourteen hypergeometric functions of three variables.

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References

  1. Generalized Hypergeometric Series W.N.Bailey
  2. Rendiconti Circ. Mat. Palermo v.7 Sulle funzioni ipergeometriche a piu variabili G.Lauricella https://doi.org/10.1007/BF03012437
  3. Ganita v.5 Hypergeometric functions of three variables S.Saran
  4. Generalized Hypergeometric Function L.J.Slater
  5. Ganita v.15 no.2 Hypergeometric function of three variables H.M.Srivastava
  6. A Treatise on Generating Functions H.M.Srivastava;H.L.Manocha

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  2. Serendipitous Functional Relations Deducible from Certain Generalized Triple Hypergeometric Functions vol.52, pp.2, 2012, https://doi.org/10.5666/KMJ.2012.52.2.109