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UNIVERSAL LAURENT SERIES

Published online by Cambridge University Press:  15 September 2005

G. Costakis ,
V. Nestoridis  and
I. Papadoperakis
G. Costakis
Affiliation:
Department of Mathematics, Athens University, 15784 Panepistimiopolis, Athens, Greece
V. Nestoridis
Affiliation:
Department of Mathematics, Athens University, 15784 Panepistimiopolis, Athens, Greece ([email protected])
I. Papadoperakis
Affiliation:
Department of Mathematics, Agricultural University of Athens, Iera Odos 75, Athens 118 55, Greece ([email protected])
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Abstract

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Universal Taylor series are defined on simply connected domains, but they do not exist on an annulus. Instead we introduce universal Laurent or Laurent–Faber series on finitely connected domains in $\mathbb{C}$. These are generic universalities. Furthermore, we study some properties of universal Laurent series on an annulus.

Keywords

Primary 30B3030B41universal seriesgeneric propertyLaurent seriesFaber series
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 48 , Issue 3 , October 2005 , pp. 571 - 583
Copyright
Copyright © Edinburgh Mathematical Society 2005