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Some remarks on universal functions and Taylor series

Published online by Cambridge University Press:  01 January 2000

G. COSTAKIS
G. COSTAKIS
Affiliation:
Department of Mathematics, University of Athens, Panepistimiopolis 157 84 Athens, Greece; e-mail: gkostak@eudoxos.uoa.gr
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Abstract

We derive properties of universal functions and Taylor series in domains of the complex plane. For some of our results we use Baire's theorem. We also give a constructive proof, avoiding Baire's theorem, of the existence of universal Taylor series in any arbitrary simply connected domain.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 128 , Issue 1 , January 2000 , pp. 157 - 175
Copyright
The Cambridge Philosophical Society 2000

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