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arXiv · 1410.0906

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

Á. P. Horváth
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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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Á. P. Horváth. 2014-10-03. The Electrostatic Properties of Zeros of Exceptional Laguerre and Jacobi Polynomials and stable interpolation. https://arxiv.org/abs/1410.0906

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