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Computational Methods and Function Theory 1 (2001), No. 2, 339--344
Copyright Heldermann Verlag 2001

On Limits of Sequences of Rational Functions

Arthur A. Danielyan
adaniely@pegasus.cc.ucf.edu, Department of Mathematics, University of Central Florida, P. O. Box 161364, Orlando, Florida 32816, U.S.A.

[Abstract-pdf] [Abstract-ps]
We consider the problem of representation of Baire first class functions on compact sets in the complex plane $\mathbb C$ by pointwise convergent sequences of rational functions and prove a localization theorem.

Keywords: Rational functions, polynomials, localization theorem, compact set.

MSC 2000: 30E10.

[FullText-pdf (168 K)] [FullText-ps (220 K)]