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。
Baker established the existence of Fatou component of any given connectivity
by using the method of quasiconformal mappings. Furthermore, Shishikua suggested
giving 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 of
Beardon's research.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2004年第4期625-628,共4页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金973资助项目
