Generalization of a Transformation Formula for the Exton's Triple Hypergeometric Series X_{12} and X_{17}

- Journal title : Kyungpook mathematical journal
- Volume 54, Issue 4, 2014, pp.677-684
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2014.54.4.677

Title & Authors

Generalization of a Transformation Formula for the Exton's Triple Hypergeometric Series X_{12} and X_{17}

Choi, Junesang; Rathie, Arjun K.;

Choi, Junesang; Rathie, Arjun K.;

Abstract

In the theory of hypergeometric functions of one or several variables, a remarkable amount of mathematicians's concern has been given to develop their transformation formulas and summation identities. Here we aim at generalizing the following transformation formula for the Exton's triple hypergeometric series and : The results are derived with the help of two general hypergeometric identities for the terminating series which were very recently obtained by Kim et al. Four interesting results closely related to the Exton's transformation formula are also chosen, among ten, to be derived as special illustrative cases of our main findings. The results easily obtained in this paper are simple and (potentially) useful.

Keywords

Hypergeometric functions of several variables;Multiple Gaussian hypergeometric series;Exton's triple hypergeometric series;Gauss's hypergeometric functions;

Language

English

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