Direct singularities and completely invariant domains of entire functions

zbMath1171.30009arXivmath/0608027MaRDI QIDQ1022572

Walter Bergweiler, Alexandre Eremenko

Publication date: 22 June 2009

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608027

zbMATH Keywords

entire functionsingularityentire function of finite order

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire functions of one complex variable (general theory) (30D20)

Related Items (14)

Wiman–Valiron Discs and the Dimension of Julia Sets ⋮ Baker domains and non-convergent deformations ⋮ Hyperbolic entire functions and the Eremenko-Lyubich class: Class \(\mathcal {B}\) or not class \(\mathcal {B}\)? ⋮ A bound on the number of rationally invisible repelling orbits ⋮ Transcendental singularities for a meromorphic function with logarithmic derivative of finite lower order ⋮ On hyperbolic dimension gap for entire functions ⋮ Identifying logarithmic tracts ⋮ Thermodynamic formalism and integral means spectrum of logarithmic tracts for transcendental entire functions ⋮ A new characterisation of the Eremenko-Lyubich class ⋮ Slow escape in tracts ⋮ The failure of Ruelle's property for entire functions ⋮ An entire function with no fixed points and no invariant Baker domains ⋮ On connected preimages of simply-connected domains under entire functions ⋮ Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions

Cites Work

• Asymptotic spots of entire and meromorphic functions
• Dynamical properties of some classes of entire functions
• Differentiation of integrals in \(\mathbb{R}^n\)
• The domains of normality of an entire function
• Iteration of meromorphic functions
• A question of Eremenko and Lyubich concerning completely invariant domains and indirect singularities
• Geometric theory of meromorphic functions
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