Title of article
The Distribution of Zeros and Poles of Asymptotically Extremal Rational Functions for Zolotarevʹs Problem Original Research Article
Author/Authors
A.L. Levin، نويسنده , , E.B. Saff، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
21
From page
88
To page
108
Abstract
We investigate the possible limit distributions of zeros and poles associated with ray sequences of rational functions that are asymptotically optimal for weighted Zolotarev problems. For disjoint compacta E1, E2 in the complex plane, the Zolotarev problem entails minimizing the ratio of the sup over E1 of the modulus of a weighted rational to its inf over E2. Potential theoretic tools are utilized in the analysis.
Keywords
* potential theory , * Zolotarev problem , * asymptotic distributions , * rational functions , * zeros and poles
Journal title
Journal of Approximation Theory
Serial Year
2001
Journal title
Journal of Approximation Theory
Record number
851914
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