Normal families and shared values of meromorphic functions

被引：3

作者：

Lei, Chunlin ^{[1
]}

Yang, Degui ^{[1
]}

Fang, Mingliang ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 364卷 / 01期

关键词：

Normal families; Meromorphic functions; Shared values; MULTIPLE ZEROS;

D O I：

10.1016/j.jmaa.2009.04.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let k (>= 2) be a positive integer, let F be a family of meromorphic functions in a domain D, all of whose zeros have multiplicity at least k + 1, and let a(z) (not equal 0), h(z) (not equivalent to 0) be two holomorphic functions on D. If, for each f is an element of F, f = a(z) double left right arrow f((k)) = h(z), then F is normal in D. (C) 2009 Published by Elsevier Inc.

引用

页码：143 / 150

页数：8

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