Herman rings with small periods and omitted values

DOI10.1016/S0252-9602(18)30858-0zbMath1438.37028OpenAlexW2898341474MaRDI QIDQ2313187

Tarun Kumar Chakra, Tarakanta Nayak, Gorachand Chakraborty

Publication date: 18 July 2019

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(18)30858-0

zbMATH Keywords

Herman ringstranscendental meromorphic functionsomitted values

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Holomorphic functions of several complex variables (32A10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46)

Related Items (3)

On periods of Herman rings and relevant poles ⋮ On the level of \(Q_{\epsilon} (f)\) in quite fast escaping set and spider's web ⋮ Rotation domains and stable Baker omitted value

Cites Work

• On the configuration of Herman rings of meromorphic functions
• On the singularities of the inverse to a meromorphic function of finite order
• Dynamics of \(\{\lambda \tanh(e^z):\lambda \in \mathbb R\setminus\{0\}\}\)
• Herman rings of meromorphic maps with an omitted value
• On Fatou components and omitted values
• Omitted values and dynamics of meromorphic functions
• On the quasiconformal surgery of rational functions
• Trees associated with the configuration of Herman rings
• Iteration of meromorphic functions
• Existence of herman rings for meromorphic functions
• A negative answer to a problem of bergweiler

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