Article ID Journal Published Year Pages File Type
4607003 Journal of Approximation Theory 2015 21 Pages PDF
Abstract

We examine the electrostatic properties of exceptional and regular zeros of XmXm-Laguerre and XmXm-Jacobi polynomials. Since there is a close connection between the electrostatic properties of the zeros and the stability of interpolation on the system of zeros, we can deduce an Egerváry–Turán type result as well. The limit of the energy on the regular zeros is also investigated.

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Physical Sciences and Engineering Mathematics Analysis
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