The Electrostatic Properties of Zeros of Exceptional Laguerre and Jacobi Polynomials and stable interpolation

2014/10/03 by Horváth, Á. P.
#33E30 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1410.0906

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 Egerváry-Tur' an type result as well. The limit of the energy on the regular zeros are also investigated.

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