Herman rings of meromorphic maps with an omitted value

DOI10.1090/proc12715zbMath1408.37080arXiv1211.0600OpenAlexW2962757433MaRDI QIDQ2789857

Tarakanta Nayak

Publication date: 2 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.0600

zbMATH Keywords

meromorphic functionHerman ringomitted value

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Meromorphic functions of several complex variables (32A20)

Related Items (8)

Iteration of certain exponential-like meromorphic functions ⋮ On periods of Herman rings and relevant poles ⋮ Rational maps without Herman rings ⋮ Slices of parameter space for meromorphic maps with two asymptotic values ⋮ Rotation domains and stable Baker omitted value ⋮ Baker omitted value ⋮ Herman rings with small periods and omitted values ⋮ On the formulas of meromorphic functions with periodic Herman rings

Cites Work

• On the configuration of Herman rings of meromorphic functions
• Iterates of meromorphic functions. IV: Critically finite functions
• Remarks on Herman rings of transcendental meromorphic functions
• On the singularities of the inverse to a meromorphic function of finite order
• Omitted values and dynamics of meromorphic functions
• Periodic Fatou Components of Meromorphic Functions
• Analytic self-maps of the punctured plane
• Existence of herman rings for meromorphic functions
• A negative answer to a problem of bergweiler

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