Abstract. The main aim of this paper is to introduce an extension of the generalized τ -Gauss hypergeometric function r F τ s (z) and investigate various properties of the new function such as integral representations, derivative formulas, Laplace transform, Mellin transform and fractional calculus operators. Some of the interesting special cases of our main results have been discussed.
Abstract. In the present paper, we further study the generalized fractional differintegral (integral and differential) operators involving Appell's function F3 introduced by Saigo-Maeda [9], and are applied to the K-Series defined by Gehlot
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