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

作　　者：Wei CHEN Qiong WANG 陈玮;王琼(School of Sciences,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)

机构地区：[1]School of Sciences,Chongqing University of Posts and Telecommunications,Chongqing 400065,China

出　　处：《Acta Mathematica Scientia》2020年第4期1035-1044,共10页数学物理学报（B辑英文版）

基　　金：by Basic and Advanced Research Project of CQCSTC(cstc2019jcyj-msxmX0107);Fundamental Research Funds of Chongqing University of Posts and Telecommunications(CQUPT:A2018-125).

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 Ø with ρ(Ø) < 1.

关 键 词：Gamma function L-FUNCTIONS algebraic differential independence algebraic differential equations 

分 类 号：O174[理学—数学]