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

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Abstract

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.

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Authors and Affiliations

  1. LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, China

    Qiu Ling & Wu Shengjian

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  1. Qiu Ling
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  2. Wu Shengjian
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Correspondence to Qiu Ling.

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Qiu, L., Wu, S. Weakly repelling fixed points and multiply-connected wandering domains of meromorphic functions. SCI CHINA SER A 49, 267–276 (2006). https://doi.org/10.1007/s11425-005-0173-3

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  • DOI: https://doi.org/10.1007/s11425-005-0173-3

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