On Algebraic Independence of Solutions of Generalized Hypergeometric Equations

被引：2

作者：

Gorelov, Vasily ^{[1
]}

机构：

[1] Natl Res Univ, Moscow Power Engn Inst, Moscow 111250, Russia

来源：

AXIOMS | 2021年 / 10卷 / 04期

关键词：

generalized hypergeometric functions; algebraic independence; Siegel's method; VALUES;

D O I：

10.3390/axioms10040289

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present solutions for general theorems regarding algebraic independence of solutions of hypergeometric equation ensembles and the values of these solutions at algebraic points. The conditions of the theorems are necessary and sufficient. Furthermore, errors in theorems from F. Beukers and others are corrected.

引用

页数：11

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