On the Fatou set of an entire function with gaps

DOI10.2748/tmj/1178207538zbMath0991.30015OpenAlexW1989027606MaRDI QIDQ5937401

Yue Fei Wang

Publication date: 28 August 2002

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178207538

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (4)

Composite entire functions with no unbounded Fatou components ⋮ 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

Cites Work

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• Complex dynamics
• Zusammensetzungen ganzer Funktionen
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• Unbounded domains of normality
• Iteration of meromorphic functions
• Complex Dynamics and Renormalization (AM-135)
• Coefficient Estimates for Lacunary Power Series and Dirichlet Series. I
• An Analogue of a Theorem of W. H. J. Fuchs on Gap Series
• Angular Value Distribution of Power Series with Gaps
• Asymptotic Paths of Integral Functions with Gap Power Series

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