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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Area of Fatou sets of trigonometric functions


Author: Hendrik Schubert
Journal: Proc. Amer. Math. Soc. 136 (2008), 1251-1259
MSC (2000): Primary 37F10; Secondary 30D05
Published electronically: December 18, 2007
MathSciNet review: 2367099
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Abstract: We extend a result of McMullen to show that the area of the Fatou set of the sine function in a vertical strip of width $ 2\pi$ is finite. This confirms a conjecture by Milnor.


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Additional Information

Hendrik Schubert
Affiliation: Department of Mathematics, Kiel University, 24098 Kiel, Germany
Email: schubert@math.uni-kiel.de

DOI: http://dx.doi.org/10.1090/S0002-9939-07-09015-6
PII: S 0002-9939(07)09015-6
Received by editor(s): August 11, 2004
Received by editor(s) in revised form: November 20, 2006
Published electronically: December 18, 2007
Communicated by: Juha M. Heinonen
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.