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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Omitted values in domains of normality


Authors: Walter Bergweiler and Steffen Rohde
Journal: Proc. Amer. Math. Soc. 123 (1995), 1857-1858
MSC: Primary 30D05; Secondary 30D20
MathSciNet review: 1249869
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Abstract: It is proved that if U and V are connected components of the Fatou set of an entire function f and if $ f(U) \subset V$, then $ V\backslash f(U)$ contains at most one point.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1249869-X
Keywords: Iteration, entire function, set of normality, Fatou set, Julia set
Article copyright: © Copyright 1995 American Mathematical Society