Normal families and omitted functions

被引：17

作者：

Pang, XC ^{[1
]}

Yang, DG

Zalcman, L

机构：

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

[2] S China Agr Univ, Coll Sci, Guangzhou 510642, Peoples R China

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

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2005年 / 54卷 / 01期

关键词：

normal families; omitted functions;

D O I：

10.1512/iumj.2005.54.2492

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 on the plane domain D, all of whose zeros and poles are multiple. Let h be a meromorphic function which does not vanish on D. If for each f is an element of F, f'(Z) not equal h(z) for z is an element of D, then F is normal on D.

引用

页码：223 / 235

页数：13

共 9 条

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