Determinantal Formulas for Exceptional Orthogonal Polynomials

preprint2022arXivOpen access

Abstract

We present determinantal formulas for families of exceptional XmX_m-Laguerre and exceptional XmX_m-Jacobi polynomials and also for exceptional X2X_2-Hermite polynomials. The formulas resemble Vandermonde determinants and use the zeros of the classical orthogonal polynomials.

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