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

页码：107 / 120

页数：14

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