No CrossRef data available.
Article contents
A family of entire functions with Baker domains
Published online by Cambridge University Press: 01 April 2009
Abstract
In his paper [The iteration of polynomials and transcendental entire functions. J. Aust. Math. Soc. (Series A)30 (1981), 483–495], Baker proved that the function f defined by has a Baker domain for c sufficiently large. In this paper we use a novel method to prove that f has a Baker domain for all c>0. We also prove that there exists an open unbounded set contained in the Baker domain on which the orbits of points under f are asymptotically horizontal.
- Type
- Research Article
- Information
- Copyright
- Copyright © Cambridge University Press 2008