Geodesic
An electrostatic interpretation of the zeros of the Freud-type orthogonal polynomials
Electronic transactions on numerical analysis, Tome 19 (2005), pp. 37-47
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 
@article{ETNA_2005__19__a6,
     author = {Garrido,  A. and Arves\'u,  J. and Marcell\'an,  F.},
     title = {An electrostatic interpretation of the zeros of the {Freud-type} orthogonal polynomials},
     journal = {Electronic transactions on numerical analysis},
     pages = {37--47},
     year = {2005},
     volume = {19},
     zbl = {1078.42017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2005__19__a6/}
}
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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/