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

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URI: http://hdl.handle.net/10016/6436
ISSN: 1068-9613
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electrostatic_arvesu_etna_2005.pdf (73.41 KB)
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2005
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Kent State University
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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 of the distributions of zeros of the corresponding orthogonal polynomials.
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11 pages, no figures.-- AMS1991 codes: Primary 33C45, secondary 42C05.
MR#: MR2149267 (2006e:33007)
Zbl#: Zbl 1078.42017
Keywords
Freud weights, Orthogonal polynomials, Zeros, Potential theory, Semiclassical linear functional
Bibliographic citation
Electronic Transactions on Numerical Analysis, 2005, vol. 19, p. 37-47
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