Abstract
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.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Data availability statement
No data were used to support the study.