An asymptotic formula for the Koornwinder polynomials

Van Diejen, J.F.

Artículos de revistas

Registro en:

Journal of Computational and Applied Mathematics 178 (1-2): 465-471

http://dx.doi.org/10.1016/j.cam.2004.04.018

http://dspace.utalca.cl/handle/1950/1561

http://repositorioslatinoamericanos.uchile.cl/handle/2250/368891

Autor

Van Diejen, J.F.

Institución

Universidad de Talca (Chile)

Resumen

van Diejen JF,(reprint author). Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile.

A formula for the large-degree asymptotics of Koomwinder's multivariate Askey-Wilson polynomials is presented. In the special case of a single variable, this asymptotic formula agrees with the known leading asymptotics of the Askey-Wilson polynomials determined by Ismail and Wilson.

Materias

(multivariate) orthogonal polynomials

asymptotics

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