Integration in terms of exponential integrals and incomplete gamma functions I

TL;DR

This paper establishes a Liouville principle for integration involving exponential integrals and incomplete gamma functions, providing theoretical insights into their integrability conditions.

Contribution

It introduces a Liouville principle specifically for integrals expressed through exponential integrals and incomplete gamma functions, advancing the theoretical understanding.

Findings

Provides a characterization of integrability conditions

Establishes a theoretical framework for these special functions

Enhances understanding of exponential integrals and gamma functions

Abstract

This paper provides a Liouville principle for integration in terms of exponential integrals and incomplete gamma functions.