Author:
Bergweiler Walter,Eremenko Alexandre
Abstract
AbstractWe discuss to what extent certain results about totally ramified values of entire and meromorphic functions remain valid if one relaxes the hypothesis that some value is totally ramified by assuming only that all islands over some Jordan domain are multiple. In particular, we prove a result suggested by Bloch which says that an entire function of order less than 1 has a simple island over at least one of two given Jordan domains with disjoint closures.
Funder
Christian-Albrechts-Universität zu Kiel
Publisher
Springer Science and Business Media LLC
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