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On questions of Fatou and Eremenko

Rippon, P.J. and Stallard, G.M. (2005). On questions of Fatou and Eremenko. Proceedings of the American Mathematical Society, 133(4) pp. 1119–1126.

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DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1090/S0002-9939-04-07805-0
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Abstract

Let $f$ be a transcendental entire function and let $I(f)$ be the set of points whose iterates under $f$ tend to infinity. We show that $I(f)$ has at least one unbounded component. In the case that $f$ has a Baker wandering domain, we show that $I(f)$ is a connected unbounded set.

Item Type: Journal Article
ISSN: 1088-6826
Extra Information: Some of the symbols may not have transferred correctly into this bibliographic record. (First published in Proceedings of the American Mathematical Society in volume 133, issue 4, 2005, published by the American Mathematical Society)
Keywords: trascendental entire function; escaping set
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 3840
Depositing User: Gwyneth Stallard
Date Deposited: 06 Jul 2006
Last Modified: 06 Dec 2010 17:38
URI: http://oro.open.ac.uk/id/eprint/3840
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