• 제목/요약/키워드: Exton's relation for $_3F_2(1)$

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APPLICATION OF THE RELATION ASSOCIATED WITH 3F2 DUE TO THOMAE

  • KIM, YONG SUP;LEE, SEUNG WOO;SONG, HYEONG KEE;NAM, IN KYEONG
    • 호남수학학술지
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    • 제26권1호
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    • pp.133-136
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    • 2004
  • 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 $_2F_1$.

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