Hypergeometric Orthogonal Polynomials with respect to Newtonian Bases

We introduce the notion of ''hypergeometric'' polynomials with respect to Newtonian bases. We find the necessary and sufficient conditions for the polynomials Pn(x) to be orthogonal. For the special cases where the sets λn correspond to the classical grids, we find the complete s...

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Datum:2016
Hauptverfasser: Vinet, L., Zhedanov, A.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2016
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/147742
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Hypergeometric Orthogonal Polynomials with respect to Newtonian Bases / L. Vinet, A. Zhedanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 20 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine