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Limit functions of iterates of entire functions on parts of the Julia set


Authors: Peter Beise and Jürgen Müller
Journal: Proc. Amer. Math. Soc. 141 (2013), 3929-3933
MSC (2010): Primary 37F99, 30D05, 30K20
Published electronically: July 23, 2013
MathSciNet review: 3091783
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Abstract: We show that the iterates of entire functions have maximal sets of limit functions on many small subsets of the corresponding Julia set.


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Additional Information

Peter Beise
Affiliation: Department of Mathematics, University of Trier, D-54286 Trier, Germany

Jürgen Müller
Affiliation: Department of Mathematics, University of Trier, D-54286 Trier, Germany

DOI: https://doi.org/10.1090/S0002-9939-2013-11720-X
Keywords: Julia set, iteration of entire functions, universal functions
Received by editor(s): January 25, 2012
Published electronically: July 23, 2013
Communicated by: Nimish Shah
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.