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.
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页码：82 / 95
页数：13
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