Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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APPLICATION OF THE RELATION ASSOCIATED WITH 3F2 DUE TO THOMAE

  • KIM, YONG SUP (Department of Mathematics, Wonkwang University) ;
  • LEE, SEUNG WOO (Department of Mathematics, Wonkwang University) ;
  • SONG, HYEONG KEE (Department of Mathematics, Wonkwang University) ;
  • NAM, IN KYEONG (Department of Mathematics, Wonkwang University)
  • Received : 2004.01.15
  • Accepted : 2004.02.11
  • Published : 2004.03.25
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Abstract

By elementry manipulation of series together with summations of Gauss and $Saalsch\ddot{u}tz$, Exton deduced a new two term relation for the hypergeometric function $_3F_2(1)$. The aim of this paper is to derive Exton's result from Thomae's formula, together with two known integral formulas and the Euler's transformation for $_2F_1$.

Keywords

Acknowledgement

Supported by : Wonkwang University

References

  1. Generalized Hypergeometric Series Bailey, W.N.
  2. J. Comput. Appl. Math. v.106 A new two-term relation for the $_3F_2$ hypergeometric function of unit argument Exton, H.