Orthogonal Polynomials on Rays: Properties of Zeros, Related Moment Problems and Symmetries

We establish some basic properties of zeros for orthonormal polynomials on radial rays. We introduce a moment problem related to these orthonormal polynomials and obtain necessary and sufficient conditions for its solvability. We establish some properties of orthonormal polynomials in the case when...

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Bibliographic Details
Date:2008
Main Author: Zagorodnyuk, S.M.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106515
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Orthogonal Polynomials on Rays: Properties of Zeros, Related Moment Problems and Symmetries / S.M. Zagorodnyuk // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 3. — С. 395-419. — Бібліогр.: 7 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine