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The Electrostatic Properties of Zeros of Exceptional Laguerre and Jacobi Polynomials and stable interpolation (1410.0906v1)

Published 3 Oct 2014 in math.CA

Abstract: We will examine the electrostatic properties of exceptional and regular zeros of $X_m$-Laguerre and $X_m$-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 Egerv\'ary-Tur\' an type result as well. The limit of the energy on the regular zeros are also investigated.

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