Charting the q-Askey scheme
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| Publication date | 2022 |
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| Book title | Hypergeometry, Integrability and Lie Theory |
| Book subtitle | Virtual Conference Hypergeometry, Integrapbility and Lie Theory, December 7-11, 2020, Lorentz Center Leiden, The Netherlands |
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| Series | Contemporary Mathematics |
| Event | Virtual Conference on Hypergeometry, Integrability and Lie Theory |
| Pages (from-to) | 79-94 |
| Publisher | Providence, RI: American Mathematical Society |
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| Abstract |
Following Verde-Star [Linear Algebra Appl. 627 (2021), pp 242-274] we label families of orthogonal polynomials in the q-Aksey scheme togeter with their q-hypergeometric representations by three sequences xk, hk,gk of Laurent polynomials in qk, two of degree I and one of degree 2, satisfying certain constraints. This gives rise to precise classification and parametrization of these familes together with their limit transitions. this is displayed in a graphical scheme. We also describe the four-manifold structure underlying the scheme.
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| Document type | Conference contribution |
| Note | Dedicated to Jasper Stokman on the occasion of his fiftieth birthday, in admiration and friendship |
| Language | English |
| Published at | https://doi.org/10.48550/arXiv.2108.03858 https://doi.org/10.1090/conm/780/15688 |
| Downloads |
Charting the q-Askey scheme
(Accepted author manuscript)
Charting the q-Askey scheme
(Final published version)
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