On the two variables κ-Appell hypergeometric matrix functions

Abstract

This work aims to introduce [Formula: see text]-Appell hypergeometric matrix functions [Formula: see text] and [Formula: see text], where [Formula: see text]. New relations for these functions, such as the integral representation, important transformation formulas, infinite matrix summation and reduction formulas, are also presented. Finally, new results of the differential formulas associated with [Formula: see text]-Appell hypergeometric matrix functions [Formula: see text] are derived.

Keywords

• κ-gamma matrix function
• κ-beta matrix function
• integral representation
• differential formula
• transformation formula
• 15A15