Some entire functions with multiply-connected wandering domains
Author:
- 1 June 1985
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 5 (2) , 163-169
Abstract
A component U of the complement of the Julia set of an entire function ƒ is a wandering domain if the sets ƒn(U) are mutually disjoint, where n ∈ℕ and ƒn is the n-th iterate of ƒ. Examples are given of entire ƒ of order , which have multiply-connected wandering domains. An example is given where the connectivity is infinite.Keywords
This publication has 6 references indexed in Scilit:
- Quasiconformal Homeomorphisms and Dynamics I. Solution of the Fatou-Julia Problem on Wandering DomainsAnnals of Mathematics, 1985
- Wandering Domains in the Iteration of Entire FunctionsProceedings of the London Mathematical Society, 1984
- An entire function which has wandering domainsJournal of the Australian Mathematical Society, 1976
- The domains of normality of an entire functionAnnales Academiae Scientiarum Fennicae. Series A. I. Mathematica, 1975
- Sur l'itération des fonctions transcendantes EntièresActa Mathematica, 1926
- Sur les équations fonctionnellesBulletin de la Société Mathématiques de France, 1919