Extensions of Euler type II transformation and Saalsch\"{u}tz's theorem
Bull. Korean Math. Soc. 2011 Vol. 48, No. 1, 151-156
https://doi.org/10.4134/BKMS.2011.48.1.151
Published online January 1, 2011
Medhat A. Rakha and Arjun K. Rathie
Suez Canal University, TULSI, Post-Jakhmund, Dist. BUNDI - 323021
Abstract : 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
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