• 제목/요약/키워드: Saalsch$\ddot{u}$tz's summation theorem and its extension

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A NEW PROOF OF THE EXTENDED SAALSCHÜTZ'S SUMMATION THEOREM FOR THE SERIES 4F3 AND ITS APPLICATIONS

  • Choi, Junesang;Rathie, Arjun K.;Chopra, Purnima
    • 호남수학학술지
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    • 제35권3호
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    • pp.407-415
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    • 2013
  • Very recently, Rakha and Rathie obtained an extension of the classical Saalsch$\ddot{u}$tz's summation theorem. Here, in this paper, we first give an elementary proof of the extended Saalsch$\ddot{u}$tz's summation theorem. By employing it, we next present certain extenstions of Ramanujan's result and another result involving hypergeometric series. The results presented in this paper are simple, interesting and (potentially) useful.