The distribution of zeros of general q-polynomials
A general system of q-orthogonal polynomials is de ned by means of its three-term recurrence relation. This system encompasses many of the known families of q-polynomials, among them the q-analog of the classical orthogonal polynomials. The asymptotic density of zeros of the system is shown to be a...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 1997 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/41755 |
| Acceso en línea: | http://hdl.handle.net/11441/41755 https://doi.org/10.1088/0305-4470/30/19/015 |
| Access Level: | acceso abierto |
| Palabra clave: | q-orthogonal polynomials three-term recurrence relation distribution of zeros moments |
| Sumario: | A general system of q-orthogonal polynomials is de ned by means of its three-term recurrence relation. This system encompasses many of the known families of q-polynomials, among them the q-analog of the classical orthogonal polynomials. The asymptotic density of zeros of the system is shown to be a simple and compact expression of the parameters which characterize the asymptotic behavior of the coe cients of the recurrence relation. This result is applied to speci c classes of polynomials known by the names q-Hahn, q-Kravchuk, q-Racah,q-Askey & Wilson, Al Salam-Carlitz and the celebrated q-little and q-big Jacobi. |
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