亚纯函数的周期点及其迭带的反函数奇点

Periodic points of meromorphic function and their odd points of iterative inverse function

早在19世纪对于函数的迭带的研究就已开始,近年来复动力系统理论的研究已经成为数学研究中一个活跃的分支,从现有的研究成果来看,亚纯函数周期点及其迭带函数的反函数的奇点是迭带理论中两个至关重要的概念。本文就是对亚纯函数的周期点及其迭带函数的反函数的奇点作进一步研究,得到的结论可以用来判断亚纯函数的中性周期点和吸性周期点的存在性。

The study on iterations of function started as early as the 19th century.Study on the theory of complex dynamic system has become an active branch of mathematics in recent years.Judging from the existing results,periodic points of meromorphic function and their odd points of iterative inverse function are the two most important concepts of iterations.This paper makes a further study on the periodic points of meromorphic function and their odd points of iterative inverse function,the derived conclusions can be used to determine the existance of the periodic points of neutrality and abs orption of meronorphic functions.