# 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} }

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

- 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 counting… Expand

Asymptotics for Recurrence Coefficients of X1-Jacobi Polynomials and Christoffel Function

- Mathematics
- 2019

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 measure… Expand

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