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Weakly repelling fixed points and multiply-connected wandering domains of meromorphic functions 被引量：3

Weakly repelling fixed points and multiply-connected wandering domains of meromorphic functions
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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.
作者 QIU Ling WU Shengjian
机构地区 LMAM
出处 《Science China Mathematics》 SCIE 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.
关键词 WEAKLY repelling fixed point WANDERING domain. weakly repelling fixed point, wandering domain.
分类号 N [自然科学总论]
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参考文献19

  • 1[1]Baker,I.N.,Kotus,J.,Lü,Y.,Iterates of meromorphic functions I,Ergod.Th.and Dynam.Sys.,1991,11:241-248.
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Science China Mathematics
2006年 第2期

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