Several constructions in the Eremenko-Lyubich class

DOI10.1016/j.jmaa.2016.11.007zbMath1378.30011OpenAlexW2554770204MaRDI QIDQ2374247

Kirill Lazebnik

Publication date: 14 December 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.11.007

zbMATH Keywords

holomorphic dynamicswandering domainstranscendental entire functionsentire maps

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) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (9)

Quasiconformal maps with thin dilatations ⋮ Iterates of meromorphic functions on escaping Fatou components ⋮ Interpolation of power mappings ⋮ Unbounded fast escaping wandering domains ⋮ Speiser class Julia sets with dimension near one ⋮ Dynamical sets whose union with infinity is connected ⋮ Univalent wandering domains in the Eremenko-Lyubich class ⋮ Prescribing the postsingular dynamics of meromorphic functions ⋮ Oscillating wandering domains for functions with escaping singular values

Cites Work

• Dynamical properties of some classes of entire functions
• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Constructing entire functions by quasiconformal folding
• Wandering domains for composition of entire functions
• Examples of Entire Functions with Pathological Dynamics
• A finiteness theorem for a dynamical class of entire functions
• On the set where the iterates of an entire function are neither escaping nor bounded
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