Artículo
The distribution of zeros of general q-polynomials
Autor/es | Álvarez Nodarse, Renato
Buendía Ávila, Enrique Sánchez-Dehesa Moreno-Cid, Jesús |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 1997-10-07 |
Fecha de depósito | 2016-06-01 |
Publicado en |
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Resumen | 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 ... 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. |
Identificador del proyecto | PB 96-0120
PB 95-1205 info:eu-repo/grantAgreement/EC/INTAS-93-0219 |
Cita | Álvarez Nodarse, R., Buendía Ávila, E. y Sánchez-Dehesa Moreno-Cid, J. (1997). The distribution of zeros of general q-polynomials. Journal of physics. A, Mathematical and general, 30 (19), 6743-6768. |
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