# A New Class of Integrals Involving Extended Hypergeometric Function

## TL;DR

This paper develops new integration formulas involving the extended hypergeometric function, expanding the mathematical toolkit for special functions and their applications.

## Contribution

It introduces generalized integration formulas with the extended hypergeometric function, including special cases for Gauss' and confluent hypergeometric functions.

## Key findings

- Derived new integral formulas involving extended hypergeometric functions
- Expressed results in terms of extended hypergeometric functions
- Identified special cases for classical hypergeometric functions

## Abstract

Our purpose in this present paper is to investigate generalized integration formulas containing the extended generalized hypergeometric function and obtained results are expressed in terms of extended hypergeometric function. Certain special cases of the main results presented here are also pointed out for the extended Gauss' hypergeometric and confluent hypergeometric functions.