Normal family and the sequence of omitted functions

被引：4

作者：

Chen QiaoYu ^{[1
]}

Yang Liu ^{[1
]}

Pang XueCheng ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2013年 / 56卷 / 09期

基金：

中国国家自然科学基金;

关键词：

meromorphic function; normal family; the sequence of omitted functions; MEROMORPHIC FUNCTIONS;

D O I：

10.1007/s11425-013-4580-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let {f (n) } be a sequence of meromorphic functions on a plane domain D, whose zeros and poles have multiplicity at least 3. Let {h (n) } be a sequence of meromorphic functions on D, whose poles are multiple, such that {h (n) } converges locally uniformly in the spherical metric to a function h which is meromorphic and zero-free on D. If f' (n) not equal h (n) , then {f (n) } is normal on D.

引用

页码：1821 / 1830

页数：10

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