Recurrence Relations for Exceptional Hermite Polynomials

Abstract

The bispectral anti-isomorphism is applied to differential operators involving elements of the stabilizer ring to produce explicit formulas for all difference operators having any of the Hermite exceptional orthogonal polynomials as eigenfunctions with eigenvalues that are polynomials in $x$.

References in corpus (2)

• Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials
• A new recurrence formula for generic exceptional orthogonal polynomials

Cited by in corpus (1)

• The energy function with respect to the zeros of the exceptional Hermite polynomials