An Entire Function with Simply and Multiply Connected Wandering Domains

被引：0
|
作者：
Bergweiler, Walter [1 ]
机构：
[1] Univ Kiel, D-24098 Kiel, Germany
来源：
PURE AND APPLIED MATHEMATICS QUARTERLY | 2011年 / 7卷 / 01期
关键词：
ITERATION; FATOU;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We modify a construction of Kisaka and Shishikura to show that there exists an entire function f which has both a simply connected and a multiply connected wandering domain. Moreover, these domains are contained in the set A(f) consisting of the points where the iterates of f tend to infinity fast. The results answer questions by Rippon and Stallard.
引用
收藏
页码：107 / 120
页数：14
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