Volume 19, pp. 37-47, 2005.

An electrostatic interpretation of the zeros of the Freud-type orthogonal polynomials

A. Garrido, J. Arvesú, and F. Marcellán

Abstract

Polynomials orthogonal with respect to a perturbation of the Freud weight function by the addition of a mass point at zero are considered. These polynomials, called Freud-type orthogonal polynomials, satisfy a second order linear differential equation with varying polynomial coefficients. It plays an important role in the electrostatic interpretation for the distribution of zeros of the corresponding orthogonal polynomials.

Full Text (PDF) [104 KB], BibTeX

Key words

Freud weights, orthogonal polynomials, zeros, potential theory, semiclassical linear functional.

AMS subject classifications

Primary 33C45, secondary 42C05.

ETNA articles which cite this article

Vol. 26 (2007), pp. 439-452 Joris Van Deun: Electrostatics and ghost poles in near best fixed pole rational interpolation
Vol. 44 (2015), pp. 271-280 Kenier Castillo and Fernando R. Rafaeli: On the discrete extension of Markov's theorem on monotonicity of zeros

< Back