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Non extendable holomorphic functions

Published online by Cambridge University Press:  05 September 2005

V. NESTORIDIS
V. NESTORIDIS
Affiliation:
Department of Mathematics, University of Athens, Panepistimiopolis, Athens 15784, Greece. e-mail: vnestor@math.uoa.gr
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Abstract

We modify arguments used in the study of Universal Taylor Series and extend them from simply connected domains to general domains in $\bb {C}$ to give a new simple and natural proof of the fact that all holomorphic functions are generically non extendable.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 139 , Issue 2 , September 2005 , pp. 351 - 360
Copyright
2005 Cambridge Philosophical Society

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