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Investigation for the k-analogue of τ-Gauss hypergeometric matrix functions and associated fractional calculus
Journal article   Peer reviewed

Investigation for the k-analogue of τ-Gauss hypergeometric matrix functions and associated fractional calculus

Hala Abd-Elmageed, Muajebah Hidan and Mohamed Abdalla
Linear & multilinear algebra, Vol.ahead-of-print(ahead-of-print), pp.1-14
27/12/2022
DOI: https://doi.org/10.1080/03081087.2022.2161459

Abstract

derivative formulas Gauss matrix function Generalized integral representations k-Fractional calculus
In this manuscript, we present a new definition of -Gauss hypergeometric matrix function and study its analytical properties, like derivative formulas and integral representations. Furthermore, as an application we establish -fractional calculus operators for the novel matrix function. We also give some new and known results as special cases of our proposed generalization of the Wright hypergeometric matrix function.

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