Some normality criteria of meromorphic functions

被引：25

作者：

Zhang, Qingcai ^{[1
]}

机构：

[1] Renmin Univ China, Sch Informat, Beijing, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2008年 / 53卷 / 08期

基金：

中国国家自然科学基金;

关键词：

normal family; meromorphic function; sharing value;

D O I：

10.1080/17476930802124666

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we prove that if F is a family of meromorphic functions in a domain D such that for each pair of functions f and g in F, f(n) f' and g(n) g' share a non-zero value b in D, with n >= 2, then F is normal in D. The result is not true when n = 1.

引用

页码：791 / 795

页数：5

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