A new generalization of generalized hypergeometric functions

TL;DR

This paper introduces a new generalization of the I-function, extending the class of hypergeometric functions, with detailed analysis of its properties, convergence, and special cases.

Contribution

It proposes a novel generalization of the I-function, expanding the framework of hypergeometric functions with comprehensive properties and conditions.

Findings

Derived convergence conditions for the new I-function

Provided series representations and elementary properties

Identified special cases of the generalized I-function

Abstract

In this paper a natural generalization of the familiar H -function of Fox namely the I -function is proposed. Convergence conditions, various series representations, elementary properties and special cases for the I -function have also been given.