Infinite limits in the iteration of entire functions

DOI10.1017/S014338570000465XzbMath0642.30021OpenAlexW2056043882MaRDI QIDQ3784369

I. N. Baker

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1017/s014338570000465x

zbMATH Keywords

rate of convergenceentire functionwandering domainiterates

Mathematics Subject Classification ID

Topological dynamics (37B99) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (14)

Invariant escaping Fatou components with two rank-one limit functions for automorphisms of ⋮ Periodic domains of quasiregular maps ⋮ Iteration of meromorphic functions ⋮ Baker domains and non-convergent deformations ⋮ On topological properties of Fatou sets and Julia sets of transcendental entire functions ⋮ Invariant domains and singularities ⋮ ON THE UNIFORM PERFECTNESS OF THE BOUNDARY OF MULTIPLY CONNECTED WANDERING DOMAINS ⋮ The escaping set of transcendental self-maps of the punctured plane ⋮ Escaping sets of continuous functions ⋮ Unnamed Item ⋮ On the non-existence of unbounded domains of normality of meromorphic functions ⋮ Borel directions and iterated orbits of meromorphic functions ⋮ On multiply-connected Fatou components in iteration of meromorphic functions ⋮ Normal families of covering maps

Cites Work

• Wandering domains for maps of the punctured plane
• Area and Hausdorff Dimension of Julia Sets of Entire Functions
• Unnamed Item

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