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