• The Rational Maps $F_\lambda(z) = z^m + \lambda/z^d$ have no Herman Rings

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/120/04/0403-0407

    • Keywords

       

      Julia set; Herman ring.

    • Abstract

       

      It is proved that the rational maps in the family $\{z\to z^m+\lambda/z^d:\lambda\in\mathbb{C}\backslash\{0\}\}$ for integers $m,dgeq 2$ have no Herman rings.

    • Author Affiliations

       

      Yingqing Xiao1 Weiyuan Qiu2

      1. College of Mathematics and Economics, Hunan University, Changsha 410082, China
      2. School of Mathematical Sciences, Fudan University, Shanghai 200433, China
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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