Weakly repelling fixed points and multiply-connected wandering domains of meromorphic functions  

作　　者：QIU Ling WU Shengjian 

机构地区：[1]LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China

出　　处：《Science China Mathematics》2006年第2期267-276,共10页中国科学：数学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.10231040);the Doctoral Education Program Foundation of China.

摘　　要：We consider the dynamics of a transcendental meromorphic function f(z) with only finitely many poles and prove that if / has only finitely many weakly repelling fixed points, then there is no multiply-connected wandering domain in its Fatou set.We consider the dynamics of a transcendental meromorphic function f(z) with only finitely many poles and prove that if f has only finitely many weakly repelling fixed points,then there is no multiply-connected wandering domain in its Fatou set.

关 键 词：WEAKLY repelling fixed point WANDERING domain. 

分 类 号：N[自然科学总论]