Bulletin of the
Korean Mathematical Society BKMS

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\"{u}tz's summation theorem for the series $_{3}F_{2}$ has been investigated. Two interesting applications of the newly obtained extension of classical Saalsch\"{u}tz's summation theorem are given.

Keywords: hypergeometric Gauss summation theorem, Euler type transformation Saalsch\"utz's theorem.

MSC numbers: 33C20, 68Q40, 11Y35