A New Class Integral Representation Involving Exton’s Triple Hypergeometric Function X_1

Radha Mathur; Mukesh M Joshi; Rachana Mathur

doi:https://doi.org/10.14445/22315373/IJMTT-V5P506

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 5 | Number 1 | Year 2014 | Article Id. IJMTT-V5P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V5P506

A New Class Integral Representation Involving Exton’s Triple Hypergeometric Function X_1

Radha Mathur,Mukesh M Joshi,Rachana Mathur

Abstract

The aim of this paper is to obtain eulerian kind generalized single integral which include Exton’s triple hypergeometricfunctionX_1. The results are established with the help of generalized Watson’s theorem. Special cases have also been obtained.

Keywords

Hypergeometric function,Exton’s triple hypergeometric function,generalized Watson’s theorem,Eulerianintegral representations.

References

[1] H. Exton, “Hypergeometric Function of Three Varibles”, Journal Indian Acad. Math.Vol. 4, pp. 113-119, 1982.

[2] H.M. Srivastava and P.W. Karlsson, Multiple Gaussian HypergeometricSeries, Ellis Horwood Limited, Newyork 1985.

[3] Medhat A. Rakha, “On a New Class of Double Integral Involving Hypergeomertic Function”,Journal of Interpolation and Approximation in Scientific Computing,Vol 2012, pp. 1-20, 2012.

Citation :

Radha Mathur,Mukesh M Joshi,Rachana Mathur, "A New Class Integral Representation Involving Exton’s Triple Hypergeometric Function X_1," International Journal of Mathematics Trends and Technology (IJMTT), vol. 5, no. 1, pp. 1-5, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V5P506