ALGEBRAIC DIFFERENTIAL INDEPENDENCE CONCERNING THE EULER Γ-FUNCTION AND DIRICHLET SERIES

被引：0

作者：

陈玮 ^{[1
]}

王琼 ^{[1
]}

机构：

[1] School of Sciences, Chongqing University of Posts and Telecommunications

来源：

ActaMathematicaScientia | 2020年 / 40卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O174 [函数论];

学科分类号：

070104 ;

摘要：

This article investigates the algebraic differential independence concerning the Euler Γ-function and the function F in a certain class F which contains Dirichlet L-functions,L-functions in the extended Selberg class, or some periodic functions. We prove that the EulerΓ-function and the function F cannot satisfy any nontrivial algebraic differential equations whose coefficients are meromorphic functions φ with ρ(φ) < 1.

引用

页码：1035 / 1044

页数：10

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