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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| Datum: | 2011 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2011
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.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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irk-123456789-1474012019-02-15T01:24:05Z An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials Ghressi, A. Khériji, L. Tounsi, M.I. 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. 2011 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147401 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 |
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. |
| format |
Article |
| author |
Ghressi, A. Khériji, L. Tounsi, M.I. |
| spellingShingle |
Ghressi, A. Khériji, L. Tounsi, M.I. An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Ghressi, A. Khériji, L. Tounsi, M.I. |
| author_sort |
Ghressi, A. |
| title |
An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials |
| title_short |
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_sort |
introduction to the q-laguerre-hahn orthogonal q-polynomials |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147401 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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