NORMAL FAMILIES OF ZERO-FREE MEROMORPHIC FUNCTIONS

被引：17

作者：

Deng, Bingmao ^{[1
]}

Fang, Mingliang ^{[1
]}

Liu, Dan ^{[1
]}

机构：

[1] S China Agr Univ, Inst Appl Math, Guangzhou 510642, Guangdong, Peoples R China

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2011年 / 91卷 / 03期

关键词：

meromorphic function; normality; zero-free; VALUES;

D O I：

10.1017/S1446788711001571

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be a family of zero-free meromorphic functions in a domain D, let h be a holomorphic function in D, and let k be a positive integer. If the function f((k)) - h has at most k distinct zeros (ignoring multiplicity) in D for each f is an element of F, then F is normal in D.

引用

页码：313 / 322

页数：10

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