d-Orthogonal Analogs of Classical Orthogonal Polynomials

Classical orthogonal polynomial systems of Jacobi, Hermite, and Laguerre have the property that the polynomials of each system are eigenfunctions of a second order ordinary differential operator. According to a famous theorem by Bochner, they are the only systems on the real line with this property....

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2018
Main Author: Horozov, E.
Format: Article
Language:English
Published: Інститут математики НАН України 2018
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/209787
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:d-Orthogonal Analogs of Classical Orthogonal Polynomials / E. Horozov // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 64 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine