Computational Methods and Function Theory 5 (2005), No. 2, 365--372
Copyright Heldermann Verlag 2005
Daniel Mayenberger
daniel.mayenberger@gmx.de , Retzgrubenweg 6, 54295 Trier, Germany.
Vagia Vlachou
vagia@tem.uoc.gr , Department of Applied Mathematics, University of Crete, Knossos Avenue, Heraklion-Crete, Greece.
Let Ω be a finitely connected domain. We prove constructively the existence of a universal Laurent series, that is, a holomorphic function f on Ω having universal approximation properties connected with partial sums of Taylor and Laurent expansions.
Keywords: Universal functions, universal Laurent series.
MSC 2000: 30E10, 30B30.
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