On connected preimages of simply-connected domains under entire functions
From MaRDI portal
Publication:2334615
DOI10.1007/s00039-019-00488-2zbMath1441.30040arXiv1801.06359OpenAlexW3105889707MaRDI QIDQ2334615
Lasse Rempe-Gillen, David J. Sixsmith
Publication date: 7 November 2019
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.06359
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)
Related Items (3)
Geometrically finite transcendental entire functions ⋮ Rotation domains and stable Baker omitted value ⋮ Single and double toral band Fatou components in meromorphic dynamics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic spots of entire and meromorphic functions
- Dynamical properties of some classes of entire functions
- Hyperbolic entire functions with bounded Fatou components
- Direct singularities and completely invariant domains of entire functions
- On completely invariant Fatou components
- On the singularities of the inverse to a meromorphic function of finite order
- Some dynamical properties of transcendental meromorphic functions
- Some connectedness properties of julia sets
- Dynamics of functions meromorphic outside a small set
- Spiders’ webs and locally connected Julia sets of transcendental entire functions
- Boundaries of escaping Fatou components
- Convergence of rays with rational argument in hyperbolic components—an illustration in transcendental dynamics
- 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
- Residual Julia Sets of Meromorphic Functions
- Accesses to infinity from Fatou components
This page was built for publication: On connected preimages of simply-connected domains under entire functions