Iteration of certain meromorphic functions with unbounded singular values

DOI10.1017/S0143385709000364zbMath1291.37066OpenAlexW3021379930MaRDI QIDQ3569992

Tarakanta Nayak, Prasad M. Guru Prem

Publication date: 22 June 2010

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385709000364

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) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items (2)

On periods of Herman rings and relevant poles ⋮ Julia sets of Joukowski-exponential maps

Cites Work

• Iterates of meromorphic functions. IV: Critically finite functions
• Singularities in Baker domains.
• On the singularities of the inverse to a meromorphic function of finite order
• Dynamics of \(\{\lambda \tanh(e^z):\lambda \in \mathbb R\setminus\{0\}\}\)
• Newton's method and a class of meromorphic functions without wandering domains
• Iterates of Meromorphic Functions II: Examples of Wandering Domains
• Singularities of meromorphic functions with Baker domains
• Iteration of a class of hyperbolic meromorphic functions
• Iteration of meromorphic functions
• Dynamics of the family 𝜆tan𝑧
• SINGULARITIES AND LIMIT FUNCTIONS IN ITERATION OF MEROMORPHIC FUNCTIONS
• On transcendental meromorphic functions which are geometrically finite
• A class of meromorphic functions with no wandering domains

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