Normal families of meromorphic functions concerning shared values

被引：5

作者：

Ding, Jian-Jun ^{[1
]}

Ding, Li-Wei ^{[1
]}

Yuan, Wen-Jun ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2013年 / 58卷 / 01期

关键词：

meromorphic function; normal family; shared values; DES VALEURS MULTIPLES; FONCTIONS ANALYTIQUES; CRITERIA; FAMILLES;

D O I：

10.1080/17476933.2011.555644

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we prove the following normality criterion: let n2, m, k be three positive integers, and a be a non-zero complex number. Let F be a family of meromorphic functions in a domain D such that each fF has only zeros of multiplicity at least max{k,2}. If for each pair of f and g in F, f(m)(f((k)))(n) and g(m)(g((k)))(n) share the value a IM, then F is normal in D. This extends Hu and Meng's result.

引用

页码：113 / 121

页数：9

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