On the set where the iterates of an entire function are bounded

DOI10.1090/S0002-9939-2011-11456-4zbMath1408.37076arXiv1012.1279MaRDI QIDQ2880644

Walter Bergweiler

Publication date: 13 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.1279

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (8)

A transcendental Julia set of dimension 1 ⋮ Wiman–Valiron Discs and the Dimension of Julia Sets ⋮ Foundations for an iteration theory of entire quasiregular maps ⋮ Connectedness properties of the set where the iterates of an entire function are bounded ⋮ On the set where the iterates of an entire function are neither escaping nor bounded ⋮ On slow escaping and non-escaping points of quasimeromorphic mappings ⋮ Dynamical sets whose union with infinity is connected ⋮ Unnamed Item

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