NORMALITY AND SHARED SETS

被引：5

作者：

Fang, Mingliang ^{[2
]}

Zalcman, Lawrence ^{[1
]}

机构：

[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel

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

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2009年 / 86卷 / 03期

关键词：

meromorphic function; normality; shared set; NORMAL-FAMILIES; MEROMORPHIC FUNCTIONS; VALUES; CONJECTURE; HAYMAN; ZEROS;

D O I：

10.1017/S1446788708000505

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be a family of meromorphic functions defined in D, all of whose zeros have multiplicity at least k + 1. Let a and b be distinct finite complex numbers, and let k be a positive integer. If, for each pair of functions f and g in F, f((k)) and g((k)) share the set S = {a, b}, then F is normal in D. The condition that the zeros of functions in F have multiplicity at least k + 1 cannot be weakened.

引用

页码：339 / 354

页数：16

共 19 条

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