Growth conditions for entire functions with only bounded Fatou components

DOI10.1007/s11854-009-0019-yzbMath1183.30021OpenAlexW2063465672MaRDI QIDQ1031819

Joseph Miles, Aimo Hinkkanen

Publication date: 2 November 2009

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-009-0019-y

zbMATH Keywords

entire functionFatou componentgrowth condition

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Entire functions of one complex variable (general theory) (30D20) Special classes of entire functions of one complex variable and growth estimates (30D15)

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Baker's conjecture and Eremenko's conjecture for functions with negative zeros ⋮ Unbounded fast escaping wandering domains ⋮ A sharp growth condition for a fast escaping spider's web ⋮ Escaping points of entire functions of small growth ⋮ The iterated minimum modulus and conjectures of Baker and Eremenko ⋮ Functions of small growth with no unbounded Fatou components

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