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http://hdl.handle.net/2445/193200
Title: | Exceptional Gegenbauer polynomials via isospectral deformation |
Author: | García-Ferrero, María Ángeles Gómez-Ullate Oteiza, David Milson, Robert Munday, James |
Keywords: | Funcions hipergeomètriques Teoria de l'aproximació Polinomis Hypergeometric functions Approximation theory Polynomials |
Issue Date: | 10-Jun-2022 |
Publisher: | Wiley |
Abstract: | In this paper, we show how to construct exceptional orthogonal polynomials (XOP) using isospectral deformations of classical orthogonal polynomials. The construction is based on confluent Darboux transformations, where repeated factorizations at the same eigenvalue are allowed. These factorizations allow us to construct Sturm-Liouville problems with polynomial eigenfunctions that have an arbitrary number of realvalued parameters. We illustrate this new construction by exhibiting the class of deformed Gegenbauer polynomials, which are XOP families that are isospectral deformations of classical Gegenbauer polynomials. |
Note: | Reproducció del document publicat a: https://doi.org/10.1111/sapm.12510 |
It is part of: | Studies in Applied Mathematics, 2022, vol. 149, num. 2, p. 324-363 |
URI: | http://hdl.handle.net/2445/193200 |
Related resource: | https://doi.org/10.1111/sapm.12510 |
ISSN: | 0022-2526 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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