Gould-Hopper matrix-Bessel and Gould-Hopper matrix-Tricomi functions and related integral representations

Abstract

The paper performs an investigation on the new class of functions, namely the GouldHopper-Bessel matrix functions and Gould-Hopper-Tricomi matrix functions via operational methods. The generating functions, operational representations and connection formulae are established. The generalized forms of the Gould-Hopper-Bessel matrix and Gould-Hopper-Tricomi matrix functions are introduced using integral transform. Several important properties related to these functions are also deduced.

Keywords

• gould-hopper matrix polynomials
• bessel functions
• tricomi functions
• euler's integral
• operational methods