Carathéodory Convergence of Immediate Basins of Attraction to a Siegel Disk

DOI10.1007/978-3-7643-9906-1_9zbMath1297.37025arXivmath/0608644OpenAlexW2129659551MaRDI QIDQ2924926

Pavel Gumenyuk

Publication date: 20 October 2014

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

Full work available at URL: https://arxiv.org/abs/math/0608644

zbMATH Keywords

basin of attractionSiegel diskFatou setiteration of analytic functionsconvergence as to the kernel

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)

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