An Electrostatic Interpretation of the Zeros of the Freud-type Orthogonal Polynomials
نویسنده
چکیده
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.
منابع مشابه
Variations on a theme of Heine and Stieltjes: an electrostatic interpretation of the zeros of certain polynomials
We show a way to adapt the ideas of Stieltjes to obtain an electrostatic interpretation of the zeroes of a large class of orthogonal polynomials. c © 1998 Elsevier Science B.V. All rights reserved.
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