On the Algebraic Independence of the Values of Functions Associated with Hypergeometric Functions

Functions that are integrals of products of generalized hypergeometric functions of some kind are considered. The conditions for the representability of these functions as a polynomial in hypergeometric ones are found. The necessary and sufficient conditions for the algebraic independence of such fu...

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Bibliographic Details
Main Author: Vasily Gorelov
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/1/36