安徽工程科技学院学报2004，Vol.19Issue(2)：6-9,4.
超越整函数的有限连通分支
On finitely connected components of transcendental entire functions
伍家凤1
作者信息
- 1. 南京财经大学,应用数学系,江苏,南京,210003
- 折叠
摘要
Abstract
Let f be a nonconstant meromorphic function. The sequence of the iterates of f is denoted by f0 = id,and J = J(f) = C - F(f) , they were called the Fatou set and the Julia set of f respectively,where the concept "normal" is in the sense of Montel. Let U be a multiply Fatou component of F(f) with finite connectivity. This paper will use classical method of the analytic function theory to prove that fn (U) are contained in some 2-connected component for sufficiently large n.关键词
多连通分支/Fatou集/2-连通分支Key words
multiply connected component/Fatou set/2-connected component分类
数理科学引用本文复制引用
伍家凤..超越整函数的有限连通分支[J].安徽工程科技学院学报,2004,19(2):6-9,4.
