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Physical Sciences and Engineering Mathematics Analysis

On the configuration of Herman rings of meromorphic functions

Article ID Journal Published Year Pages File Type
4617241 Journal of Mathematical Analysis and Applications 2012 10 Pages PDF
Abstract
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.
Keywords
Fatou setJulia setComplex dynamical systemsInvariant curvesConfiguration
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
On the configuration of Herman rings of meromorphic functions
Authors
Núria Fagella, Jörn Peter,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Fatou set
Julia set
Complex dynamical systems
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