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arXiv · 1807.00034

Behavior of zeros of $X_{1}$-Jacobi and $X_{1}$-Laguerre exceptional polynomials

Yen Chi Lun
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Abstract

The $X_1$-Jacobi and the $X_1$-Laguerre exceptional orthogonal polynomials have been introduced and studied by G\'omez-Ullate, Kamran and Milson in a series of papers. In this note, we establish some properties, such as interlacing, monotonicity with respect to the parameters and order, about the so-called \textit{regular} and \textit{exceptional} zeros of these two classes of polynomials.

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Yen Chi Lun. 2018-06-29. Behavior of zeros of $X_{1}$-Jacobi and $X_{1}$-Laguerre exceptional polynomials. https://arxiv.org/abs/1807.00034

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