Determinantal Formulas for Exceptional Orthogonal Polynomials

Abstract

We present determinantal formulas for families of exceptional 𝑋ₘ-Laguerre and exceptional 𝑋ₘ-Jacobi polynomials and also for exceptional 𝑋₂-Hermite polynomials. The formulas resemble Vandermonde determinants and use the zeros of the classical orthogonal polynomials.