On the algebraic independence of values of generalized hypergeometric functions

被引：0

作者：

V. A. Gorelov

机构：

[1] Moscow Power-Engineering Institute,

来源：

Mathematical Notes | 2013年 / 94卷

关键词：

generalized hypergeometric function; linear differential equation; algebraic independence of solutions; Galois group; differential field; transcendence degree; contiguous functions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider hypergeometric functions satisfying homogeneous linear differential equations of arbitrary order. We prove general theorems on the algebraic independence of the solutions of a set of hypergeometric equations as well as of the values of these solutions at algebraic points. The conditions of most theorems are necessary and sufficient.

引用

页码：82 / 95

页数：13

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