# Euler-type integrals for the generalized hypergeometric matrix function

## TL;DR

This paper explores Euler-type integral representations for the generalized hypergeometric matrix function, providing new transformations and specific cases for unit and half arguments, advancing the mathematical understanding of these functions.

## Contribution

It introduces novel Euler-type integral representations and transformations for the generalized hypergeometric matrix function, including special cases with unit and half arguments.

## Key findings

- Derived new Euler-type integral representations.
- Developed transformations in terms of hypergeometric matrix functions.
- Provided specific cases for unit and half arguments.

## Abstract

In this paper, we investigate the Euler-type integral representations for the generalized hypergeometric matrix function and develop some transformations in terms of hypergeometric matrix functions. Furthermore, unit and half arguments have been provided for several particular cases.