The Symmetrical H_q-Semiclassical Orthogonal Polynomials of Class One
We investigate the quadratic decomposition and duality to classify symmetrical H_q-semiclassical orthogonal q-polynomials of class one where H_q is the Hahn's operator. For any canonical situation, the recurrence coefficients, the q-analog of the distributional equation of Pearson type, the mom...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2009-07-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2009.076 |
| _version_ | 1828202055119929344 |
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| author | Abdallah Ghressi Lotfi Khériji |
| author_facet | Abdallah Ghressi Lotfi Khériji |
| author_sort | Abdallah Ghressi |
| collection | DOAJ |
| description | We investigate the quadratic decomposition and duality to classify symmetrical H_q-semiclassical orthogonal q-polynomials of class one where H_q 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. |
| first_indexed | 2024-04-12T11:42:07Z |
| format | Article |
| id | doaj.art-8fd435accea546bfa5aee02993c8bc25 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-04-12T11:42:07Z |
| publishDate | 2009-07-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-8fd435accea546bfa5aee02993c8bc252022-12-22T03:34:36ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592009-07-015076The Symmetrical H_q-Semiclassical Orthogonal Polynomials of Class OneAbdallah GhressiLotfi KhérijiWe investigate the quadratic decomposition and duality to classify symmetrical H_q-semiclassical orthogonal q-polynomials of class one where H_q 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.http://dx.doi.org/10.3842/SIGMA.2009.076quadratic decomposition of symmetrical orthogonal polynomialssemiclassical formintegral representationsq-difference operatorq-series representationsthe q-analog of the distributional equation of Pearson type |
| spellingShingle | Abdallah Ghressi Lotfi Khériji The Symmetrical H_q-Semiclassical Orthogonal Polynomials of Class One Symmetry, Integrability and Geometry: Methods and Applications quadratic decomposition of symmetrical orthogonal polynomials semiclassical form integral representations q-difference operator q-series representations the q-analog of the distributional equation of Pearson type |
| title | The Symmetrical H_q-Semiclassical Orthogonal Polynomials of Class One |
| title_full | The Symmetrical H_q-Semiclassical Orthogonal Polynomials of Class One |
| title_fullStr | The Symmetrical H_q-Semiclassical Orthogonal Polynomials of Class One |
| title_full_unstemmed | The Symmetrical H_q-Semiclassical Orthogonal Polynomials of Class One |
| title_short | The Symmetrical H_q-Semiclassical Orthogonal Polynomials of Class One |
| title_sort | symmetrical h q semiclassical orthogonal polynomials of class one |
| topic | quadratic decomposition of symmetrical orthogonal polynomials semiclassical form integral representations q-difference operator q-series representations the q-analog of the distributional equation of Pearson type |
| url | http://dx.doi.org/10.3842/SIGMA.2009.076 |
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