Normality Criteria of Zero-free Meromorphic Functions  

涉及无零点的亚纯函数的正规定则（英文）

作　　者：XIE Jia DENG Bing-mao 谢佳;邓炳茂(School of Mathematics and Information Science,Guangzhou University,Guangzhou,Guangdong,510006,P.R.China;School of Financial Mathematics and Statistics,Guangdong University of Finance,Guangzhou,Guangdong,510521,P.R.China)

机构地区：[1]School of Mathematics and Information Science,Guangzhou University,Guangzhou,Guangdong,510006,P.R.China [2]School of Financial Mathematics and Statistics,Guangdong University of Finance,Guangzhou,Guangdong,510521,P.R.China

出　　处：《Chinese Quarterly Journal of Mathematics》2019年第3期221-231,共11页数学季刊（英文版）

基　　金：Supported by the NNSF of China(No.11701188)

摘　　要：Let k be a positive integer,let h(z)■0 be a holomorphic functions in a domain D,and let F be a family of zero-free meromorphic functions in D,all of whose poles have order at least l.If,for each f∈P(f)(z)-h(z) has at most k+l-1 distinct zeros(ignoring multiplicity) in D,where P(f)(z)=f(k)(z)+a1(z)f((k-1)(z)+…+ak(z)f(z) is a differential polynomial of f and aj(z)(j=1,2,···,k) are holomorphic functions in D,then F is normal in D.

关 键 词：MEROMORPHIC FUNCTION NORMALITY Zero-free 

分 类 号：O174.52[理学—数学]