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：
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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.
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页码：1 / 9
页数：8
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