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Extremal polynomials on arcs of the circle with zeros on these arcs

✍ Scribed by A. L. Lukashov; S. V. Tyshkevich


Book ID
111505891
Publisher
Allerton Press, Inc.
Year
2009
Tongue
English
Weight
605 KB
Volume
44
Category
Article
ISSN
1068-3623

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✍ Alexei Zhedanov πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 404 KB

Starting from the Delsarte Genin (DG) mapping of the symmetric orthogonal polynomials on an interval (OPI) we construct a one-parameter family of polynomials orthogonal on the unit circle (OPC). The value of the parameter defines the arc on the circle where the weight function vanishes. Some explici