On the connectivity of Julia sets of transcendental entire functions

DOI10.1017/S0143385798097570zbMath0916.30022OpenAlexW2113264362WikidataQ120912784 ScholiaQ120912784MaRDI QIDQ4236261

Masashi Kisaka

Publication date: 20 July 1999

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385798097570

zbMATH Keywords

entire functionJulia setconnectivityFatou setwandering domainBaker domainattracting basinSiegel basin

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (15)

Semigroups of transcendental entire functions and their dynamics ⋮ On questions of Fatou and Eremenko ⋮ Fatou's associates ⋮ On topological properties of Fatou sets and Julia sets of transcendental entire functions ⋮ Entire functions of slow growth whose Julia set contains any infinite collection of quasiconformal copies of polynomial Julia sets ⋮ Baker's conjecture and Eremenko's conjecture for functions with negative zeros ⋮ Slow escape in tracts ⋮ On the connectivity of the escaping set in the punctured plane ⋮ Dynamics of slowly growing entire functions ⋮ Constructing entire functions with non-locally connected Julia set by quasiconformal surgery ⋮ Slow escaping points of meromorphic functions ⋮ Boundaries of escaping Fatou components ⋮ Dynamical sets whose union with infinity is connected ⋮ Annular itineraries for entire functions ⋮ Escaping points of meromorphic functions with a finite number of poles

This page was built for publication: On the connectivity of Julia sets of transcendental entire functions