Another Method for Proving a Hypergeometric Generating relation contiguous to that of Exton

TL;DR

This paper introduces a new, concise method to establish a hypergeometric generating relation that is contiguous to Exton's known relation, contributing to the mathematical theory of hypergeometric functions.

Contribution

It presents a novel, simplified approach to prove a hypergeometric generating relation related to Exton's work, expanding the methods available in hypergeometric function theory.

Findings

Derived a new hypergeometric generating relation

Provided a short and elegant proof method

Extended the understanding of relations contiguous to Exton's

Abstract

The aim of this note is to establish an interesting hypergeometric generating relation contiguous to that of Exton by a short method.