Determinantal Formulas for Exceptional Orthogonal Polynomials

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dc.contributor.authorSimanek, Brian
dc.date.accessioned2026-01-07T13:39:36Z
dc.date.issued2022
dc.description.abstractWe present determinantal formulas for families of exceptional 𝑋ₘ-Laguerre and exceptional 𝑋ₘ-Jacobi polynomials and also for exceptional 𝑋₂-Hermite polynomials. The formulas resemble Vandermonde determinants and use the zeros of the classical orthogonal polynomials.
dc.description.sponsorshipIt is a pleasure to thank Rob Milson for the helpful discussion about the content of this work. The author gratefully acknowledges support from the Simons Foundation through a collaboration grant 707882. The author also thanks the anonymous referees for their useful feedback.
dc.identifier.citationDeterminantal Formulas for Exceptional Orthogonal Polynomials. Brian Simanek. SIGMA 18 (2022), 047, 16 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2022.047
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 42C05; 33C47
dc.identifier.otherarXiv:2202.01278
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/211621
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleDeterminantal Formulas for Exceptional Orthogonal Polynomials
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2022, том 18, випуск за цей рік