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A SECTORIAL THEOREM ON COMPLETELY RAMIFIED RATIONAL FUNCTIONS

Part of: Entire and meromorphic functions, and related topics

Published online by Cambridge University Press:  01 February 2008

ANDREAS SAUER
ANDREAS SAUER*
Affiliation:
FH Dortmund, University of Applied Sciences and Arts, Sonnenstr. 96, 44047 Dortmund, Germany (email: [email protected])
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Abstract

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We prove that under a sharp growth condition meromorphic functions posses a direction such that at most four rational functions are completely ramified in any sector containing the direction.

Keywords

completely ramifiedJulia directionAhlfors theoryfilling discscercles de remplissagessingular direction

MSC classification

Secondary: 30D35: Distribution of values, Nevanlinna theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 84 , Issue 1 , February 2008 , pp. 131 - 138
Copyright
Copyright © 2008 Australian Mathematical Society

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