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Determinantal Formulas for Exceptional Orthogonal Polynomials

Published 2 Feb 2022 in math.CA | (2202.01278v2)

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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