On a new result for the hypergeometric function

TL;DR

This paper introduces a new mathematical identity related to the Gauss hypergeometric function, derived through combinatorial identities and hypergeometric function techniques, contributing to the theoretical understanding of special functions.

Contribution

It presents a novel identity for the Gauss hypergeometric function using combinatorial and hypergeometric approaches, expanding the theoretical framework.

Findings

New hypergeometric identity derived

Connections established with combinatorial identities

Potential implications for special function theory

Abstract

The aim of this note is to provide a new identity connected with the Gauss hypergeometric function. This is achieved using results of certain combinatorial identities and a hypergeometric function approach.