Recurrence Relations for Exceptional Hermite Polynomials
Classical Analysis and ODEs
2019-03-22 v2
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 .
Cite
@article{arxiv.1506.03651,
title = {Recurrence Relations for Exceptional Hermite Polynomials},
author = {D. Gomez-Ullate and A. Kasman and A. B. J. Kuijlaars and R. Milson},
journal= {arXiv preprint arXiv:1506.03651},
year = {2019}
}