Some examples of Baker domains

DOI10.1088/0951-7715/25/4/1033zbMath1247.37038arXiv1110.1232OpenAlexW3102775464MaRDI QIDQ2882655

Jian-Hua Zheng, Walter Bergweiler

Publication date: 7 May 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1232

zbMATH Keywords

Julia settranscendental entire functioncomplex dynamicsprime endsBaker domaintranscendental dynamics

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)

Related Items (8)

Invariant escaping Fatou components with two rank-one limit functions for automorphisms of ⋮ Baker domains and non-convergent deformations ⋮ On topological properties of Fatou sets and Julia sets of transcendental entire functions ⋮ Absorbing sets and Baker domains for holomorphic maps ⋮ Dynamics of transcendental Hénon maps ⋮ Escaping points in the boundaries of Baker domains ⋮ Escaping Fatou components of transcendental self-maps of the punctured plane ⋮ Simply connected Baker domains of some meromorphic functions

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