A non-standard generating function for continuous dual q-Hahn polynomials
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| Autoři: | , |
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| Médium: | artículo original |
| Stav: | Versión publicada |
| Datum vydání: | 2011 |
| Popis: | We study a non-standard form of generating function for the three-parameter continuous dual q-Hahn polynomials pn(x; a, b, c | q), which has surfaced in a recent work of the present authors on the construction of lifting q-difference operators in the Askey scheme of basic hypergeometric polynomials. We show that the resulting generating function identity for the continuous dual q-Hahn polynomials pn(x; a, b, c | q) can be explicitly stated in terms of Jackson’s q-exponential functions eq(z). |
| Země: | Portal de Revistas UCR |
| Instituce: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Jazyk: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/2117 |
| On-line přístup: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/2117 |
| Klíčové slovo: | q-scheme of Askey generating function q-exponential function of Jackson dual q-Hahn polynomials esquema q de Askey función generatriz polinomios duales q-Hahn función q-exponencial de Jackson |