Work

On the Algebraic Independence of the Values of Functions That Are Certain Integrals Involving the 1F1(1; λ + 1; z) Hypergeometric Function

Year: 2025

Type: article

Abstract: Indefinite integrals of products of exponential functions, power functions and generalized hypergeometric functions of some types are considered. Necessary and sufficient conditions are established for the algebraic independence of large sets of such functions (for various parameters) and their derivatives, as well as their values. All the algebraic relations between these functions are written out explicitly.

Source: Axioms

DOI: 10.3390/axioms14080572

Authors: Vasily Gorelov, Gennady Voronov

Institutions: Moscow Power Engineering Institute, MIREA - Russian Technological University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Ministry of Education and Science of the Russian Federation