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Abstract <p> Functions given by indefinite integrals of products of elementary and generalized hypergeometric functions of some types are considered. Necessary and sufficient conditions for the algebraic independence of such functions and of their derivatives, as well as their values, are found. All the algebraic identities existing in these cases are found in closed form. </p>

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On Algebraic Properties of Functions Related to Hypergeometric Functions

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • V. A. Gorelov

摘要

Abstract

Functions given by indefinite integrals of products of elementary and generalized hypergeometric functions of some types are considered. Necessary and sufficient conditions for the algebraic independence of such functions and of their derivatives, as well as their values, are found. All the algebraic identities existing in these cases are found in closed form.