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On Chebyshev polynomials on arcs of a circle

✍ Scribed by S. V. Tyshkevich

Book ID: 110149185
Publisher: SP MAIK Nauka/Interperiodica
Year: 2007
Tongue: English
Weight: 510 KB
Volume: 81
Category: Article
ISSN: 0001-4346
DOI: 10.1134/s0001434607050331

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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