On the configuration of Herman rings of meromorphic functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:394

Article

Fagella, Nuria¹  Peter, Joern² 

[1] Univ Barcelona, Dept Matemat Aplicada & Anal, E-08007 Barcelona, Spain

[2] Univ Kiel, Math Seminar, D-24098 Kiel, Germany

关键词: Complex dynamical systems;    Herman rings;    Julia set;    Fatou set;    Invariant curves;    Configuration;    Quasiconformal surgery;   

DOI  :  10.1016/j.jmaa.2012.05.005

来源: Elsevier

【 摘 要 】

We prove some results concerning the possible configurations of Herman rings for transcendental meromorphic functions. We show that one pole is enough to obtain cycles of Herman rings of arbitrary period and give a sufficient condition for a configuration to be realizable. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free