Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials
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| Creator |
Horozov, E.
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| Description |
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 constructed. The ideas behind our approach lie in the studies of bispectral operators. We exploit automorphisms of associative algebras which transform elementary vector orthogonal polynomial systems which are eigenfunctions of a differential operator into other systems of this type.
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| Date |
2019-02-15T19:06:23Z
2019-02-15T19:06:23Z 2016 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 34L20; 30C15; 33E05 DOI:10.3842/SIGMA.2016.050 http://dspace.nbuv.gov.ua/handle/123456789/147746 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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