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The distribution of zeros of general q-polynomials

Opened Access The distribution of zeros of general q-polynomials

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Autor: Álvarez Nodarse, Renato
Buendía Ávila, Enrique
Sánchez-Dehesa Moreno-Cid, Jesús
Departamento: Universidad de Sevilla. Departamento de Análisis Matemático
Fecha: 1997-10-07
Publicado en: Journal of Physics. A, Mathematical and general, 30 (19), 6743-6768.
Tipo de documento: Artículo
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 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.
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.
Tamaño: 369.4Kb
Formato: PDF

URI: http://hdl.handle.net/11441/41755

DOI: 10.1088/0305-4470/30/19/015

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