Carathèodory convergence for Leau and Baker domains

DOI10.1080/14689367.2021.1875991zbMath1477.37055OpenAlexW3124183206MaRDI QIDQ4995188

Monica Moreno-Rocha, Adrián Esparza-Amador

Publication date: 23 June 2021

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2021.1875991

zbMATH Keywords

Hausdorff convergenceBaker domainsLeau domains

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) Meromorphic functions of one complex variable (general theory) (30D30)

Cites Work

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• Hausdorff convergence of Julia sets
• Dynamics of functions meromorphic outside a small set
• Carathéodory Convergence of Immediate Basins of Attraction to a Siegel Disk
• Absorbing sets and Baker domains for holomorphic maps
• Families of Baker domains for meromorphic functions with countable many essential singularities
• Dynamical convergence of a certain polynomial family to f_a(z) = z + e^z + a
• Iteration and the Solution of Functional Equations for Functions Analytic In the Unit Disk
• Families of Baker domains: I
• Iteration of meromorphic functions
• Kernel convergence of hyperbolic components
• Local uniform convergence and convergence of Julia sets
• Dynamics in One Complex Variable. (AM-160)

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