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http://dx.doi.org/10.4134/BKMS.2011.48.1.151

EXTENSIONS OF EULER TYPE II TRANSFORMATION AND SAALSCHÜTZ'S THEOREM  

Rakha, Medhat A. (DEPARTMENT OF MATHEMATICS AND STATISTICS COLLEGE OF SCIENCE SULTAN QABOOS UNIVERSITY, MATHEMATICS DEPARTMENT COLLEGE OF SCIENCE SUEZ CANAL UNIVERSITY)
Rathie, Arjun K. (VEDANT COLLEGE OF ENGINEERING AND TECHNOLOGY)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.1, 2011 , pp. 151-156 More about this Journal
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$\ddot{u}$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.
Keywords
hypergeometric Gauss summation theorem; Euler type transformation Saalsch$\ddot{u}$tz's theorem;
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  • Reference
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