Rempe, Lasse and Stallard, Gwyneth M.
(2010).
URL:  http://www.ams.org/journals/proc/201013805/S0002... 

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Abstract
Suppose that f and g are transcendental entire functions, each with a bounded set of singular values, and that f and g are affinely equivalent. We show that the escaping sets of f and g have the same Hausdorff dimension. Using a result of the second author, we deduce that there exists a family of transcendental entire functions for which the escaping set has Hausdorff dimension equal to one.
Item Type:  Journal Item  

Copyright Holders:  2009 American Mathematical Society  
ISSN:  10886826  
Project Funding Details: 


Academic Unit/School:  Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics Faculty of Science, Technology, Engineering and Mathematics (STEM) 

Item ID:  23953  
Depositing User:  Gwyneth Stallard  
Date Deposited:  20 Oct 2010 11:02  
Last Modified:  04 Oct 2016 10:47  
URI:  http://oro.open.ac.uk/id/eprint/23953  
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