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Separating Singularities of Holomorphic Functions

Published online by Cambridge University Press:  20 November 2018

Jürgen Müller  and
Jochen Wengenroth
Jürgen Müller
Affiliation:
Fachbereich IV, Mathematik Universität Trier D-54286 Trier Germany, email: jmueller@uni-trier.de
Jochen Wengenroth
Affiliation:
Fachbereich IV, Mathematik Universität Trier D-54286 Trier Germany, email: wengen@uni-trier.de
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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

30E9930E10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 4 , 01 December 1998 , pp. 473 - 477
Copyright
Copyright © Canadian Mathematical Society 1998

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