All-order epsilon-expansions of hypergeometric functions of one variable

TL;DR

This paper explores the detailed structure of epsilon-expansions of hypergeometric functions, providing insights into their behavior at all orders for specific parameter sets.

Contribution

It offers a proof outlining the structure of all-order epsilon-expansions of hypergeometric functions with particular parameters.

Findings

Established the structure of epsilon-expansions at all orders

Provided a proof for the behavior of hypergeometric functions

Focused on functions with special parameter sets

Abstract

We briefly sketch a proof concerning the structure of the all-order epsilon-expansions of generalized hypergeometric functions with special sets of parameters.