On the non-existence of unbounded domains of normality of meromorphic functions

DOI10.1006/jmaa.2001.7681zbMath0990.30015OpenAlexW2052223097MaRDI QIDQ5957163

Jian-Hua Zheng

Publication date: 6 August 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7681

zbMATH Keywords

iterationmeromorphic functionvalue distribution theory

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35)

Related Items (6)

Some properties of Fatou and Julia sets of transcendental meromorphic functions ⋮ On Julia limiting directions in higher dimensions ⋮ Absence of wandering domains for some real entire functions with bounded singular sets ⋮ Iterates of meromorphic functions on escaping Fatou components ⋮ Uniformly bounded components of normality ⋮ On multiply-connected Fatou components in iteration of meromorphic functions

Cites Work

• On iteration in planar domains
• Singularities and wandering domains in iteration of meromorphic functions
• Wandering Domains in the Iteration of Entire Functions
• Iterates of meromorphic functions: I
• Infinite limits in the iteration of entire functions
• Iterates of meromorphic functions III: Preperiodic domains
• Iteration of meromorphic functions
• Uniformly perfect sets and distortion of holomorphic functions
• Unbounded domains of normality of entire functions of small growth
• On the Domain of Normality of an Attractive Fixpoint
• A class of meromorphic functions with no wandering domains
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