An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials
Orthogonal q-polynomials associated with q-Laguerre-Hahn form will be studied as a generalization of the q-semiclassical forms via a suitable q-difference equation. The concept of class and a criterion to determinate it will be given. The q-Riccati equation satisfied by the corresponding formal Stie...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2011 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2011
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147401 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials / A. Ghressi, L. Khériji, M.I. Tounsi // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 21 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862751376107372544 |
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| author | Ghressi, A. Khériji, L. Tounsi, M.I. |
| author_facet | Ghressi, A. Khériji, L. Tounsi, M.I. |
| citation_txt | An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials / A. Ghressi, L. Khériji, M.I. Tounsi // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 21 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Orthogonal q-polynomials associated with q-Laguerre-Hahn form will be studied as a generalization of the q-semiclassical forms via a suitable q-difference equation. The concept of class and a criterion to determinate it will be given. The q-Riccati equation satisfied by the corresponding formal Stieltjes series is obtained. Also, the structure relation is established. Some illustrative examples are highlighted.
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| first_indexed | 2025-12-07T21:11:21Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147401 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:11:21Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ghressi, A. Khériji, L. Tounsi, M.I. 2019-02-14T17:36:55Z 2019-02-14T17:36:55Z 2011 An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials / A. Ghressi, L. Khériji, M.I. Tounsi // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 21 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 42C05; 33C45 DOI: http://dx.doi.org/10.3842/SIGMA.2011.092 https://nasplib.isofts.kiev.ua/handle/123456789/147401 Orthogonal q-polynomials associated with q-Laguerre-Hahn form will be studied as a generalization of the q-semiclassical forms via a suitable q-difference equation. The concept of class and a criterion to determinate it will be given. The q-Riccati equation satisfied by the corresponding formal Stieltjes series is obtained. Also, the structure relation is established. Some illustrative examples are highlighted. This paper is a contribution to the Proceedings of the Conference “Symmetries and Integrability of Difference Equations (SIDE-9)” (June 14–18, 2010, Varna, Bulgaria). The full collection is available at http://www.emis.de/journals/SIGMA/SIDE-9.html.
 The authors are very grateful to the referees for the constructive and valuable comments and
 recommendations and for making us pay attention to a certain references. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials Article published earlier |
| spellingShingle | An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials Ghressi, A. Khériji, L. Tounsi, M.I. |
| title | An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials |
| title_full | An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials |
| title_fullStr | An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials |
| title_full_unstemmed | An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials |
| title_short | An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials |
| title_sort | introduction to the q-laguerre-hahn orthogonal q-polynomials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147401 |
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