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Universal Rational Expansions of Meromorphic Functions

Universal Rational Expansions of Meromorphic Functions Motivated by known results about universal Taylor series, we show that every function meromorphic on a domain G can be expanded into a series of rational functions, whose partial sums have universal approximation properties on arbitrary compact sets K ⊂ G c. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Universal Rational Expansions of Meromorphic Functions

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References (18)

Publisher
Springer Journals
Copyright
Copyright © 2011 by Heldermann  Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321806
Publisher site
See Article on Publisher Site

Abstract

Motivated by known results about universal Taylor series, we show that every function meromorphic on a domain G can be expanded into a series of rational functions, whose partial sums have universal approximation properties on arbitrary compact sets K ⊂ G c.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Mar 6, 2011

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