Exceptional functions and normal families of meromorphic functions with multiple zeros

被引：2

作者：

Lei, Chunlin ^{[1
]}

Fang, Mingliang ^{[1
]}

Yang, Degui ^{[1
]}

Wang, Xueqin ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 341卷 / 01期

基金：

中国国家自然科学基金;

关键词：

meromorphic functions; holomorphic functions; normal families;

D O I：

10.1016/j.jmaa.2007.10.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let k be a positive integer with k >= 2; let h(not equivalent to 0) be a holomorphic function which has no simple zeros in D; and let F be a family of meromorphic functions defined in D, all of whose poles are multiple, and all of whose zeros have multiplicity at least k + 1. If, for each function f is an element of F, f((k))(z) not equal h(z), then F is normal in D. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：224 / 234

页数：11