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 (340kB)
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 Item
Copyright Holders: 2008 Cambridge University Press
ISSN: 1469-4417
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 15823
Depositing User: Colin Smith
Date Deposited: 24 Apr 2009 15:25
Last Modified: 14 Oct 2017 18:06
Share this page:


Download history for this item

These details should be considered as only a guide to the number of downloads performed manually. Algorithmic methods have been applied in an attempt to remove automated downloads from the displayed statistics but no guarantee can be made as to the accuracy of the figures.

Actions (login may be required)

Policies | Disclaimer

© The Open University   contact the OU