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

 

A question of Eremenko and Lyubich concerning completely invariant domains and indirect singularities


Author: Walter Bergweiler
Journal: Proc. Amer. Math. Soc. 130 (2002), 3231-3236
MSC (2000): Primary 37F10; Secondary 30D05, 30D30
Published electronically: May 22, 2002
MathSciNet review: 1913000
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Abstract: We give an example of an entire function with a completely invariant Fatou component which has an indirect singularity not contained in this Fatou component. The question of whether such a function exists has been raised by Eremenko and Lyubich.


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Additional Information

Walter Bergweiler
Affiliation: Mathematisches Seminar, Christian–Albrechts–Universität zu Kiel, Ludewig–Meyn–Str. 4, D–24098 Kiel, Germany
Email: bergweiler@math.uni-kiel.de

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06494-8
PII: S 0002-9939(02)06494-8
Received by editor(s): March 12, 2001
Published electronically: May 22, 2002
Additional Notes: The author was supported by G.I.F., G -643-117.6/1999 and INTAS-99-00089
Communicated by: Juha M. Heinonen
Article copyright: © Copyright 2002 American Mathematical Society