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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| Дата: | 2016 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147746 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1477462019-02-16T01:25:27Z Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials Horozov, E. 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. 2016 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Horozov, E. |
| spellingShingle |
Horozov, E. Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Horozov, E. |
| author_sort |
Horozov, E. |
| title |
Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials |
| title_short |
Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials |
| title_full |
Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials |
| title_fullStr |
Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials |
| title_full_unstemmed |
Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials |
| title_sort |
automorphisms of algebras and bochner's property for vector orthogonal polynomials |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147746 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT horozove automorphismsofalgebrasandbochnerspropertyforvectororthogonalpolynomials |
| first_indexed |
2023-05-20T17:28:12Z |
| last_indexed |
2023-05-20T17:28:12Z |
| _version_ |
1796153365225275392 |