期刊：
Abstract and Applied Analysis,2014年2014:1-7 ISSN：1085-3375
通讯作者：
Liu, Gang
作者机构：
[Gao, Junyang] China Univ Min & Technol, Sch Sci, Beijing 100083, Peoples R China.;[Liu, Gang] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421002, Peoples R China.
通讯机构：
[Liu, Gang] H;Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421002, Peoples R China.
关键词：
I. N. Baker established the existence of Fatou component with any given finite connectivity by the method of quasi-conformal surgery. M. Shishikura suggested giving an explicit rational map which has a Fatou component with finite connectivity greater than 2. In this paper;considering a family of rational maps Rz;t that A. F. Beardon proposed;we prove that Rz;t has Fatou components with connectivities 3 and 5 for any t∈0;1/12 . Furthermore;there exists t∈0;1/12 such that Rz;t has Fatou components with connectivity nine. Published: 2014 First available in Project Euclid: 2 October 2014 zbMATH: 07022742 MathSciNet: MR3191055 Digital Object Identifier: 10.1155/2014/621312
