Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials

We construct new families of vector orthogonal polynomials that have the property to be eigenfunctions of some differential operator. They are extensions of the Hermite and Laguerre polynomial systems. A third family, whose first member has been found by Y. Ben Cheikh and K. Douak is also constructe...

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Bibliographic Details
Date:2016
Main Author: Horozov, E.
Format: Article
Language:English
Published: Інститут математики НАН України 2016
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/147746
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials / E. Horozov // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 36 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine