亚纯函数的动力学性质

基金项目: 广东省教育厅自然科学研究项目（Z02001）

Dynamics of meromorphic functions

1 .College of Sciences, South China Agric. Univ. , Guangzhou 510642, China; 2. Department of radiation oncology,cancer center,SunYat-sen University, Guangzhou 510275, China

摘要: 把Baker在整函数迭代函论方面的结果推广到亚纯函数，并利用该结果研究由亚纯函数，的迭代函数的反函数分支构成的函数族的正规性，证明了定义在具有某些性质的区域D上的该类函数族的所有极限函数都是复常数且属于亚纯函数，的Julia集合中．
- 反函数分支 /
- 迭代 /
- 亚纯函数 /
- 周期点
Abstract: In this paper, the normality of the family of inverse branches of meromorphic functions is investigated. First, a result obtained by Baker is extended. Second, by using the extended result, it is proved that all limit functions of the family of inverse branches of meromorphic functions f are complex constant and belong to the Julia set off, which are all defined and regular in the some complex domain D.
- branch of inverse function /
- iteration /
- meromorphic function /
- periodic point