On the q-Charlier Multiple Orthogonal Polynomials
We introduce a new family of special functions, namely q-Charlier multiple orthogonal polynomials. These polynomials are orthogonal with respect to q-analogues of Poisson distributions. We focus our attention on their structural properties. Raising and lowering operators as well as Rodrigues-type fo...
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| Дата: | 2015 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147005 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the q-Charlier Multiple Orthogonal Polynomials / J. Arvesú, A.M. Ramírez-Aberasturis // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 20 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147005 |
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irk-123456789-1470052019-02-13T01:23:58Z On the q-Charlier Multiple Orthogonal Polynomials Arvesú, J. Ramírez-Aberasturis, A.M. We introduce a new family of special functions, namely q-Charlier multiple orthogonal polynomials. These polynomials are orthogonal with respect to q-analogues of Poisson distributions. We focus our attention on their structural properties. Raising and lowering operators as well as Rodrigues-type formulas are obtained. An explicit representation in terms of a q-analogue of the second of Appell's hypergeometric functions is given. A high-order linear q-difference equation with polynomial coefficients is deduced. Moreover, we show how to obtain the nearest neighbor recurrence relation from some difference operators involved in the Rodrigues-type formula. 2015 Article On the q-Charlier Multiple Orthogonal Polynomials / J. Arvesú, A.M. Ramírez-Aberasturis // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 20 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 42C05; 33E30; 33C47; 33C65 DOI:10.3842/SIGMA.2015.026 http://dspace.nbuv.gov.ua/handle/123456789/147005 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 introduce a new family of special functions, namely q-Charlier multiple orthogonal polynomials. These polynomials are orthogonal with respect to q-analogues of Poisson distributions. We focus our attention on their structural properties. Raising and lowering operators as well as Rodrigues-type formulas are obtained. An explicit representation in terms of a q-analogue of the second of Appell's hypergeometric functions is given. A high-order linear q-difference equation with polynomial coefficients is deduced. Moreover, we show how to obtain the nearest neighbor recurrence relation from some difference operators involved in the Rodrigues-type formula. |
| format |
Article |
| author |
Arvesú, J. Ramírez-Aberasturis, A.M. |
| spellingShingle |
Arvesú, J. Ramírez-Aberasturis, A.M. On the q-Charlier Multiple Orthogonal Polynomials Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Arvesú, J. Ramírez-Aberasturis, A.M. |
| author_sort |
Arvesú, J. |
| title |
On the q-Charlier Multiple Orthogonal Polynomials |
| title_short |
On the q-Charlier Multiple Orthogonal Polynomials |
| title_full |
On the q-Charlier Multiple Orthogonal Polynomials |
| title_fullStr |
On the q-Charlier Multiple Orthogonal Polynomials |
| title_full_unstemmed |
On the q-Charlier Multiple Orthogonal Polynomials |
| title_sort |
on the q-charlier multiple orthogonal polynomials |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147005 |
| citation_txt |
On the q-Charlier Multiple Orthogonal Polynomials / J. Arvesú, A.M. Ramírez-Aberasturis // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 20 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT arvesuj ontheqcharliermultipleorthogonalpolynomials AT ramirezaberasturisam ontheqcharliermultipleorthogonalpolynomials |
| first_indexed |
2023-05-20T17:26:17Z |
| last_indexed |
2023-05-20T17:26:17Z |
| _version_ |
1796153294116093952 |