# Certain results on Euler-type integrals and their applications

## TL;DR

This paper evaluates certain Euler-type integrals using Wright hypergeometric functions, introduces a new theorem, and explores applications including multi-variable cases, advancing the analytical tools for integral evaluation.

## Contribution

The paper presents a new theorem on Wright hypergeometric functions and applies it to evaluate Euler-type integrals, including multi-variable extensions.

## Key findings

- Derived explicit formulas for Euler-type integrals
- Established a new theorem on Wright hypergeometric functions
- Discussed applications and multi-variable generalizations

## Abstract

This paper deals with the evaluation of some definite Euler-type integrals in terms of the Wright hypergeometric function. We obtain a theorem on the Wright hypergeometric function and then use this theorem to evaluate some definite integrals. Further, we derive some results as applications of these evaluations. Multi-variable cases of the derived results of this paper are also briefly discussed.