NORMAL FAMILIES OF HOLOMORPHIC FUNCTIONS WITH MULTIPLE ZEROS

被引：9

作者：

Pang, Xuecheng ^{[1
]}

Fang, Mingliang ^{[2
]}

Zalcman, Lawrence ^{[3
]}

机构：

[1] East China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

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

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

来源：

CONFORMAL GEOMETRY AND DYNAMICS | 2007年 / 11卷

关键词：

D O I：

10.1090/S1088-4173-07-00162-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be a family of functions holomorphic on a domain D in C, all of whose zeros are multiple. Let h be a function meromorphic on D, h not equivalent to = 0,infinity. Suppose that for each f is an element of F, f' (z) not equal h(z) for z is an element of D. Then F is a normal family on D.

引用

页码：101 / 106

页数：6

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