Some entire functions with multiply-connected wandering domains

DOI10.1017/S0143385700002832zbMath0545.30014MaRDI QIDQ3336013

I. N. Baker

Publication date: 1985

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Julia setwandering domainiterate

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Smooth dynamical systems: general theory (37Cxx)

Related Items (14)

A transcendental Julia set of dimension 1 ⋮ Iteration of meromorphic functions ⋮ Note on wandering domains in the dynamics of solutions of certain difference equations ⋮ Uniformly perfect Julia sets of meromorphic functions ⋮ On topological properties of Fatou sets and Julia sets of transcendental entire functions ⋮ Newton's method and complex dynamical systems ⋮ On the dynamics of composite entire functions ⋮ Interpolation of power mappings ⋮ Topological properties of certain iterated entire maps ⋮ Weakly repelling fixpoints and the connectivity of wandering domains ⋮ Dynamics of slowly growing entire functions ⋮ Area and Hausdorff Dimension of Julia Sets of Entire Functions ⋮ The dynamics of semigroups of transcendental entire functions. I ⋮ Wandering domains in the dynamics of certain meromorphic functions

Cites Work

• Wandering Domains in the Iteration of Entire Functions
• The domains of normality of an entire function

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