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http://dx.doi.org/10.5831/HMJ.2016.38.4.739

CERTAIN RESULTS ON EXTENDED GENERALIZED τ-GAUSS HYPERGEOMETRIC FUNCTION

Kumar, Dinesh (Department of Mathematics & Statistics Jai Narain Vyas University)
Gupta, Rajeev Kumar (Department of Mathematics & Statistics Jai Narain Vyas University)
Shaktawat, Bhupender Singh (Department of Mathematics & Statistics Jai Narain Vyas University)

Publication Information

Honam Mathematical Journal / v.38, no.4, 2016 , pp. 739-752 More about this Journal

Abstract

The main aim of this paper is to introduce an extension of the generalized ${\tau}$ -Gauss hypergeometric function $_rF^{\tau}_s(z)$ and investigate various properties of the new function such as integral representations, derivative formulas, Laplace transform, Mellin trans-form and fractional calculus operators. Some of the interesting special cases of our main results have been discussed.

Keywords

Generalized Pochhammer symbol; Generalized Gauss hypergeometric function; Generalized ${\tau}$ -Gauss hypergeometric function; Laplace transform; Mellin transform; Fractional calculus;

Citations & Related Records

Reference

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