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G. Costakis (2000)
Some remarks on universal functions and Taylor seriesMathematical Proceedings of the Cambridge Philosophical Society, 128
A G Vitushkin (1967)
The analytic capacity of sets in problems of approximation theoryUspehi Mat. Nauk, 22
A. Vitushkin (1967)
The analytic capacity of sets in problems of approximation theoryRussian Mathematical Surveys, 22
V. Nestoridis (2003)
A Strong Notion of Universal Taylor SeriesJournal of the London Mathematical Society, 68
K. Grosse-Erdmann (1999)
UNIVERSAL FAMILIES AND HYPERCYCLIC OPERATORSBulletin of the American Mathematical Society, 36
Ch. Kariofillis (2004)
CONSTRUCTIONS OF UNIVERSAL FUNCTIONS IN SIMPLY CONNECTED DOMAINSAnalysis, 24
J. Conway (1978)
Functions of One Complex Variable II
L. Zalcman (1968)
Analytic Capacity and Rational Approximation
F. Bayart, K. Grosse-Erdmann, V. Nestoridis, C. Papadimitropoulos (2008)
Abstract theory of universal series and applicationsProceedings of the London Mathematical Society, 96
C. Chui, M. Parnes (1971)
Approximation by overconvergence of a power seriesJournal of Mathematical Analysis and Applications, 36
K. Grosse-Erdmann (1987)
Holomorphe Monster und universelle Funktionen
A. Melas, V. Nestoridis (2001)
Universality of Taylor Series as a Generic Property of Holomorphic FunctionsAdvances in Mathematics, 157
W. Gehlen, W. Luh, J. Müller (2000)
On the existence of O-universal functionsComplex Variables, Theory and Application: An International Journal, 41
W. Luh (1986)
UNIVERSAL APPROXIMATION PROPERTIES OF OVERCONVERGENT POWER SERIES ON OPEN SETS, 6
V. Nestoridis (1996)
Universal Taylor seriesAnnales de l'Institut Fourier, 46
V Nestoridis (1996)
Universal Taylor seriesAnn. Inst. Fourier, 46
V. Nestoridis (1999)
An extension of the notion of universal Taylor seriesComputational Methods and Function Theory
W Luh (1970)
Approximation analytischer Funktionen durch überkonvergente Potenzreihen und deren Matrix-TransformierteMitt. Math. Sem. Giessen, 88
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.
Computational Methods and Function Theory – Springer Journals
Published: Mar 6, 2011
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