The Eremenko–Lyubich constant

DOI10.1112/blms.12714zbMath1523.30039arXiv2105.09053MaRDI QIDQ6176586

Lasse Rempe-Gillen

Publication date: 23 August 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.09053

zbMATH Keywords

Julia setentire functionsFatou setSpeiser classEremenko-Lyubich class

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)

Cites Work

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• A new characterisation of the Eremenko-Lyubich class
• Rigidity of escaping dynamics for transcendental entire functions
• Dynamic rays of bounded-type entire functions
• Dynamical properties of some classes of entire functions
• On the singularities of the inverse to a meromorphic function of finite order
• Constructing entire functions by quasiconformal folding
• Entire functions with bounded minimum modulus; subharmonic functions analogues
• Models for the Eremenko–Lyubich class
• Dynamics in the Eremenko-Lyubich class
• On the Multiple Points of Certain Meromorphic Functions
• Wandering domains for entire functions of finite order in the Eremenko–Lyubich class
• DIMENSIONS OF JULIA SETS OF MEROMORPHIC FUNCTIONS

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