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Separating Singularities of Holomorphic Functions

Published online by Cambridge University Press:  20 November 2018

Jürgen Müller
Affiliation:
Fachbereich IV, Mathematik Universität Trier D-54286 Trier Germany, email: [email protected]
Jochen Wengenroth
Affiliation:
Fachbereich IV, Mathematik Universität Trier D-54286 Trier Germany, email: [email protected]
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Abstract

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We present a short proof for a classical result on separating singularities of holomorphic functions. The proof is based on the open mapping theorem and the fusion lemma of Roth, which is a basic tool in complex approximation theory. The same method yields similar separation results for other classes of functions.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1998

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