Boundedness of Fatou components of holomorphic maps

DOI10.1007/S10884-004-2785-7zbMath1081.37027OpenAlexW1999763767MaRDI QIDQ1768355

Chun-Lei Cao, Yue Fei Wang

Publication date: 15 March 2005

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-004-2785-7

zbMATH Keywords

boundednessJulia setFatou set

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) 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 one complex variable (general theory) (30D30)

Related Items (4)

Composite entire functions with no unbounded Fatou components ⋮ Bounded Fatou components of composite transcendental entire functions with gaps ⋮ Entire functions for which the escaping set is a spider's web ⋮ Bounded Fatou components of transcendental entire functions with order less than 1/2

Cites Work

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• Complex dynamics
• Boundedness of components of Fatou sets of entire and meromorphic functions
• Zusammensetzungen ganzer Funktionen
• Order of composite functions of integral functions
• The iteration of entire functions of small growth
• Unbounded domains of normality
• Iteration of meromorphic functions
• Frontiers in complex dynamics
• Bounded domains of the Fatou set of an entire function

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