• Title/Summary/Keyword: Euler type transformation Saalsch$\ddot{u}$tz's theorem

Search Result 1, Processing Time 0.017 seconds

EXTENSIONS OF EULER TYPE II TRANSFORMATION AND SAALSCHÜTZ'S THEOREM

  • Rakha, Medhat A.;Rathie, Arjun K.
    • Bulletin of the Korean Mathematical Society
    • /
    • v.48 no.1
    • /
    • pp.151-156
    • /
    • 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.