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4. On the Algebraic Independence of the Values of Functions Associated with Hypergeometric Functions †.

Author

Gorelov, Vasily

Subjects
*HYPERGEOMETRIC functions, *JACOBI polynomials, *ALGEBRAIC functions, *GENERALIZED integrals
Abstract

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 functions are established. [ABSTRACT FROM AUTHOR]

Published
2023
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