An Explicit Example of Polynomials Orthogonal on the Unit Circle with a Dense Point Spectrum Generated by a Geometric Distribution

We present a new explicit family of polynomials orthogonal on the unit circle with a dense point spectrum. This family is expressed in terms of the -hypergeometric function of type ₂₁. The orthogonality measure is the wrapped geometric distribution. Some ''classical'' properties...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2020
1. Verfasser: Zhedanov, Alexei
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2020
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/211079
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:An Explicit Example of Polynomials Orthogonal on the Unit Circle with a Dense Point Spectrum Generated by a Geometric Distribution. Alexei Zhedanov. SIGMA 16 (2020), 140, 9 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine