The Open UniversitySkip to content

A family of entire functions with Baker domains

Fleischmann, Dominique S. (2009). A family of entire functions with Baker domains. Ergodic Theory and Dynamical Systems, 29(2) pp. 495–514.

Full text available as:
[img] PDF (Version of Record) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (332Kb)
DOI (Digital Object Identifier) Link:
Google Scholar: Look up in Google Scholar


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 f(z) = z+(sin?z/?z)+c 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.

Item Type: Journal Article
Copyright Holders: 2008 Cambridge University Press
ISSN: 1469-4417
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Mathematics, Computing and Technology
Item ID: 15823
Depositing User: Colin Smith
Date Deposited: 24 Apr 2009 15:25
Last Modified: 15 Jan 2016 18:57
Share this page:


Scopus Citations

Actions (login may be required)

Policies | Disclaimer

© The Open University   + 44 (0)870 333 4340