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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2015 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147005 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862733427640369152 |
|---|---|
| author | Arvesú, J. Ramírez-Aberasturis, A.M. |
| author_facet | Arvesú, J. Ramírez-Aberasturis, A.M. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T19:37:26Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147005 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:37:26Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Arvesú, J. Ramírez-Aberasturis, A.M. 2019-02-12T18:23:59Z 2019-02-12T18:23:59Z 2015 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 https://nasplib.isofts.kiev.ua/handle/123456789/147005 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. This paper is a contribution to the Special Issue on Exact Solvability and Symmetry Avatars in honour of
 Luc Vinet. The full collection is available at http://www.emis.de/journals/SIGMA/ESSA2014.html.
 The research of J. Arves´u was partially supported by the research grant MTM2012-36732-C03-01
 (Ministerio de Econom´ıa y Competitividad) of Spain. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On the q-Charlier Multiple Orthogonal Polynomials Article published earlier |
| spellingShingle | On the q-Charlier Multiple Orthogonal Polynomials Arvesú, J. Ramírez-Aberasturis, A.M. |
| title | 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_short | On the q-Charlier Multiple Orthogonal Polynomials |
| title_sort | on the q-charlier multiple orthogonal polynomials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147005 |
| work_keys_str_mv | AT arvesuj ontheqcharliermultipleorthogonalpolynomials AT ramirezaberasturisam ontheqcharliermultipleorthogonalpolynomials |