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A SECTORIAL THEOREM ON COMPLETELY RAMIFIED RATIONAL FUNCTIONS

Published online by Cambridge University Press:  01 February 2008

ANDREAS SAUER*
Affiliation:
FH Dortmund, University of Applied Sciences and Arts, Sonnenstr. 96, 44047 Dortmund, Germany (email: andreas.sauer@fh-dortmund.de)
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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.

Type
Research Article
Copyright
Copyright © 2008 Australian Mathematical Society

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