On invariance of order and the area property for finite-type entire functions

DOI10.5186/aasfm.2015.4034zbMath1333.30040arXiv1304.6576OpenAlexW2228669920MaRDI QIDQ3194665

Lasse Rempe-Gillen, Adam Lawrence Epstein

Publication date: 20 October 2015

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.6576

zbMATH Keywords

entire functionsquasiconformal mappingsSpeiser classEremenko-Lyubich class

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire functions of one complex variable (general theory) (30D20) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (6)

The order conjecture fails in \(\mathcal S\) ⋮ Thermodynamic formalism and integral means spectrum of logarithmic tracts for transcendental entire functions ⋮ Entire functions arising from trees ⋮ Quasiconformal surgery and linear differential equations ⋮ Hausdorff dimension of escaping sets of meromorphic functions ⋮ The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class

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