EXTENSIONS OF EULER TYPE II TRANSFORMATION AND SAALSCHÜTZ`S THEOREM

Title & Authors
EXTENSIONS OF EULER TYPE II TRANSFORMATION AND SAALSCHÜTZ`S THEOREM
Rakha, Medhat A.; Rathie, Arjun K.;

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$\small{\ddot{u}}$tz`s summation theorem for the series $\small{_3F_2}$ has been investigated. Two interesting applications of the newly obtained extension of classical Saalsch$\small{\ddot{u}}$tz`s summation theorem are given.
Keywords
hypergeometric Gauss summation theorem;Euler type transformation Saalsch$\small{\ddot{u}}$tz`s theorem;
Language
English
Cited by
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AN EXTENSION OF A KUMMER'S QUADRATIC TRANSFORMATION FORMULA WITH AN APPLICATION,;;

Proceedings of the Jangjeon Mathematical Society, 2013. vol.16. 2, pp.229-235
1.
An extension of Saalschütz's summation theorem for the seriesr+3Fr+2, Integral Transforms and Special Functions, 2013, 24, 11, 916
2.
A NEW PROOF OF THE EXTENDED SAALSCHÜTZ'S SUMMATION THEOREM FOR THE SERIES4F3AND ITS APPLICATIONS, Honam Mathematical Journal, 2013, 35, 3, 407
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