Determinantal Formulas for Exceptional Orthogonal Polynomials

We present determinantal formulas for families of exceptional ₘ-Laguerre and exceptional ₘ-Jacobi polynomials and also for exceptional ₂-Hermite polynomials. The formulas resemble Vandermonde determinants and use the zeros of the classical orthogonal polynomials.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2022
1. Verfasser: Simanek, Brian
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2022
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/211621
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Determinantal Formulas for Exceptional Orthogonal Polynomials. Brian Simanek. SIGMA 18 (2022), 047, 16 pages

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine