Corpus ID: 119158846

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

@article{Lun2018BehaviorOZ,
title={Behavior of zeros of \$X\_\{1\}\$-Jacobi and \$X\_\{1\}\$-Laguerre exceptional polynomials},
author={Yen Chi Lun},
journal={arXiv: Classical Analysis and ODEs},
year={2018}
}
• Y. Lun
• Published 29 June 2018
• Mathematics
• arXiv: Classical Analysis and ODEs
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.
2 Citations
Asymptotics for recurrence coefficients of X1-Jacobi exceptional polynomials and Christoffel function
• Á. Horváth
• Mathematics
• Integral Transforms and Special Functions
• 2019
ABSTRACT Computing asymptotics of the recurrence coefficients of -Jacobi polynomials, we investigate the limit of the Christoffel function. We also study the relation between the normalized countingExpand
Asymptotics for Recurrence Coefficients of X1-Jacobi Polynomials and Christoffel Function
Computing asymptotics of the recurrence coefficients of X1-Jacobi polynomials we investigate the limit of Christoffel function. We also study the relation between the normalized counting measureExpand

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