论某些超几何函数乘积积分的代数特性

IF 0.6 4区数学 Q3 MATHEMATICS

Mathematical Notes Pub Date : 2024-04-22 DOI:10.1134/s0001434624010164

V. A. Gorelov

引用次数: 0

摘要

摘要研究了满足一阶微分方程的广义超几何函数乘积的不定积分。研究了这些积分集及其在代数点上的值的代数独立性的必要条件和充分条件。在这种情况下产生的所有代数等式都以封闭形式存在。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Algebraic Properties of Integrals of Products of Some Hypergeometric Functions

Abstract

Indefinite integrals of products of generalized hypergeometric functions satisfying first- order differential equations are considered. Necessary and sufficient conditions for the algebraic independence of the set of these integrals and of their values at algebraic points are studied. All algebraic identities arising in this case are found in closed form.

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来源期刊

Mathematical Notes 数学-数学

CiteScore

0.90

自引率

16.70%

发文量

179

审稿时长

24 months

期刊介绍： Mathematical Notes is a journal that publishes research papers and review articles in modern algebra, geometry and number theory, functional analysis, logic, set and measure theory, topology, probability and stochastics, differential and noncommutative geometry, operator and group theory, asymptotic and approximation methods, mathematical finance, linear and nonlinear equations, ergodic and spectral theory, operator algebras, and other related theoretical fields. It also presents rigorous results in mathematical physics.