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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Omitted values in domains of normality
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by Walter Bergweiler and Steffen Rohde PDF
Proc. Amer. Math. Soc. 123 (1995), 1857-1858 Request permission

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.
References
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 1857-1858
  • MSC: Primary 30D05; Secondary 30D20
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1249869-X
  • MathSciNet review: 1249869