Some entire functions with multiply-connected wandering domains

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 [formula omitted] and ƒn is the n-th iterate of ƒ. Examples are given of entire ƒ of order [formula omitted], which have multiply-connected wandering domains. An example is given where the connectivity is infinite. © 1985, Cambridge University Press. All rights reserved.