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.
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页码：101 / 106
页数：6
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