English

Determinantal Formulas for Exceptional Orthogonal Polynomials

Classical Analysis and ODEs 2022-06-28 v2

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.

Keywords

Cite

@article{arxiv.2202.01278,
  title  = {Determinantal Formulas for Exceptional Orthogonal Polynomials},
  author = {Brian Simanek},
  journal= {arXiv preprint arXiv:2202.01278},
  year   = {2022}
}
R2 v1 2026-06-24T09:16:40.839Z