The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One
We investigate the quadratic decomposition and duality to classify symmetrical Hq-semiclassical orthogonal q-polynomials of class one where Hq is the Hahn's operator. For any canonical situation, the recurrence coefficients, the q-analog of the distributional equation of Pearson type, the momen...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2009 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149136 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One / A. Ghressi, L. Khériji // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 35 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862558208677117952 |
|---|---|
| author | Ghressi, A. Khériji, L. |
| author_facet | Ghressi, A. Khériji, L. |
| citation_txt | The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One / A. Ghressi, L. Khériji // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 35 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We investigate the quadratic decomposition and duality to classify symmetrical Hq-semiclassical orthogonal q-polynomials of class one where Hq is the Hahn's operator. For any canonical situation, the recurrence coefficients, the q-analog of the distributional equation of Pearson type, the moments and integral or discrete representations are given.
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| first_indexed | 2025-11-25T22:47:07Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149136 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T22:47:07Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ghressi, A. Khériji, L. 2019-02-19T17:37:04Z 2019-02-19T17:37:04Z 2009 The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One / A. Ghressi, L. Khériji // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 35 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 33C45; 42C05 https://nasplib.isofts.kiev.ua/handle/123456789/149136 We investigate the quadratic decomposition and duality to classify symmetrical Hq-semiclassical orthogonal q-polynomials of class one where Hq is the Hahn's operator. For any canonical situation, the recurrence coefficients, the q-analog of the distributional equation of Pearson type, the moments and integral or discrete representations are given. The authors are very grateful to the editors and the referees for the constructive and valuable comments and recommendations. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One Article published earlier |
| spellingShingle | The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One Ghressi, A. Khériji, L. |
| title | The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One |
| title_full | The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One |
| title_fullStr | The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One |
| title_full_unstemmed | The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One |
| title_short | The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One |
| title_sort | symmetrical hq-semiclassical orthogonal polynomials of class one |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149136 |
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