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arXiv · 2202.01278

Determinantal Formulas for Exceptional Orthogonal Polynomials

Brian Simanek
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Abstract

We present determinantal formulas for families of exceptional $X_m$-Laguerre and exceptional $X_m$-Jacobi polynomials and also for exceptional $X_2$-Hermite polynomials. The formulas resemble Vandermonde determinants and use the zeros of the classical orthogonal polynomials.

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Brian Simanek. 2022-02-02. Determinantal Formulas for Exceptional Orthogonal Polynomials. https://doi.org/10.3842/sigma.2022.047

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