Normal families of meromorphic functions with multiple zeros and poles

被引：0

作者：

Xuecheng Pang

Lawrence Zalcman

机构：

[1] East China Normal University,Department of Mathematics

[2] Bar-Ilan University,Department of Mathematics and Statistics

来源：

Israel Journal of Mathematics | 2003年 / 136卷

关键词：

Compact Subset; Meromorphic Function; Normal Family; Local Degree; Multiple Zero;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

LetF be a family of functions meromorphic in the plane domainD, all of whose zeros and poles are multiple. Leth be a continuous function onD. Suppose that, for eachf ≠F,f1(z) εh(z) forz εD. We show that ifh(z) ≠ 0 for allz εD, or ifh is holomorphic onD but not identically zero there and all zeros of functions inF have multiplicity at least 3, thenF is a normal family onD.

引用

页码：1 / 9

页数：8

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