Geodesic
An electrostatic interpretation of the zeros of the Freud-type orthogonal polynomials
Electronic transactions on numerical analysis, Tome 19 (2005), pp. 37-47.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 33C45, 42C05
Keywords: freud weights, orthogonal polynomials, zeros, potential theory, semiclassical linear functional 
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     title = {An electrostatic interpretation of the zeros of the {Freud-type} orthogonal polynomials},
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     year = {2005},
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Garrido, A.; Arvesú, J.; Marcellán, F. An electrostatic interpretation of the zeros of the Freud-type orthogonal polynomials. Electronic transactions on numerical analysis, Tome 19 (2005), pp. 37-47. http://geodesic.mathdoc.fr/item/ETNA_2005__19__a6/