Functions with no unbounded Fatou components

DOI10.1080/17476933.2022.2041607zbMath1520.30039arXiv2108.12638OpenAlexW3197995666MaRDI QIDQ6170471

Ramanpreet Kaur

Publication date: 12 July 2023

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.12638

zbMATH Keywords

entire functionsFatou setunbounded Fatou components

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

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• Functions of small growth with no unbounded Fatou components
• The deficiency of entire functions with Fejer gaps
• Zusammensetzungen ganzer Funktionen
• Proof of a conjecture of G. Polya concerning gap series
• Composite entire functions with no unbounded Fatou components
• The iteration of entire functions of small growth
• Unbounded domains of normality
• Iteration of meromorphic functions
• Unbounded domains of normality of entire functions of small growth
• On the Fatou set of an entire function with gaps
• Bounded domains of the Fatou set of an entire function

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