| 有理映照Fatou分支的连通数 |
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| 引用本文： | 乔建永,高军杨. 有理映照Fatou分支的连通数[J]. 数学学报, 2004, 47(4): 625-628. DOI: cnki:ISSN:0583-1431.0.2004-04-000 |
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| 作者姓名： | 乔建永 高军杨 |
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| 作者单位： | 中国矿业大学数学中心,北京,100083 |
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| 基金项目： | 国家自然科学基金973资助项目 |
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| 摘 要： | Baker曾用拟共形手术的方法证明了具有任意连通数的Fatou分支的存在性,Shishikua曾建议对此给出明确的有理映照的例子,本文在Beardon工作的基础上,给出了比较完善的结果。
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| 关 键 词： | Julia集 Fatou集 迭代 |
| 文章编号： | 0583-1431(2004)04-0625-04 |
The Connectivity Numbers of Fatou Components of Rational Mappings |
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| Jian Yong QIAO,Jun Yang GAO Center for Mathematics,China University of Mining , Technology,Beijing ,P.R.China E-mail: qjy@cumtb.edu.cn,gjg_.student@sina.com. The Connectivity Numbers of Fatou Components of Rational Mappings[J]. Acta Mathematica Sinica, 2004, 47(4): 625-628. DOI: cnki:ISSN:0583-1431.0.2004-04-000 |
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| Authors: | Jian Yong QIAO Jun Yang GAO Center for Mathematics China University of Mining & Technology Beijing P.R.China E-mail: qjy@cumtb.edu.cn gjg_.student@sina.com |
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| Affiliation: | Jian Yong QIAO;Jun Yang GAO Center for Mathematics, China University of Mining & Technology,Beijing 100083,P.R.China E-mail: qjy@cumtb.edu.cn;gjg0000_0.student@sina.com |
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| Abstract: | Baker established the existence of Fatou component of any given connectivityby using the method of quasiconformal mappings. Furthermore, Shishikua suggestedgiving explicit examples of rational mappings with a Fatou component of a given con-nectivity number. In this paper, we prove a rather perfect result on the basis ofBeardon's research. |
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| Keywords: | Julia set Fatou set Set iteration |
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