• 제목/요약/키워드: Euler type transformation Saalsch$\ddot{u}$tz's theorem

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EXTENSIONS OF EULER TYPE II TRANSFORMATION AND SAALSCHÜTZ'S THEOREM

  • Rakha, Medhat A.;Rathie, Arjun K.
    • 대한수학회보
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    • 제48권1호
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    • pp.151-156
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    • 2011
  • In this research paper, motivated by the extension of the Euler type I transformation obtained very recently by Rathie and Paris, the authors aim at presenting the extensions of Euler type II transformation. In addition to this, a natural extension of the classical Saalsch$\ddot{u}$tz's summation theorem for the series $_3F_2$ has been investigated. Two interesting applications of the newly obtained extension of classical Saalsch$\ddot{u}$tz's summation theorem are given.