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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.

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2022
Main Author: Simanek, Brian
Format: Article
Language:English
Published: Інститут математики НАН України 2022
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211621
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Determinantal Formulas for Exceptional Orthogonal Polynomials. Brian Simanek. SIGMA 18 (2022), 047, 16 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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