Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/193200
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | García-Ferrero, María Ángeles | - |
dc.contributor.author | Gómez-Ullate Oteiza, David | - |
dc.contributor.author | Milson, Robert | - |
dc.contributor.author | Munday, James | - |
dc.date.accessioned | 2023-02-07T06:56:50Z | - |
dc.date.available | 2023-02-07T06:56:50Z | - |
dc.date.issued | 2022-06-10 | - |
dc.identifier.issn | 0022-2526 | - |
dc.identifier.uri | http://hdl.handle.net/2445/193200 | - |
dc.description.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. | - |
dc.format.extent | 40 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Wiley | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.1111/sapm.12510 | - |
dc.relation.ispartof | Studies in Applied Mathematics, 2022, vol. 149, num. 2, p. 324-363 | - |
dc.relation.uri | https://doi.org/10.1111/sapm.12510 | - |
dc.rights | cc by-nc-nd (c) María Ángeles García-Ferrero, et al., 2022 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Funcions hipergeomètriques | - |
dc.subject.classification | Teoria de l'aproximació | - |
dc.subject.classification | Polinomis | - |
dc.subject.other | Hypergeometric functions | - |
dc.subject.other | Approximation theory | - |
dc.subject.other | Polynomials | - |
dc.title | Exceptional Gegenbauer polynomials via isospectral deformation | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 727532 | - |
dc.date.updated | 2023-02-07T06:56:50Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
727532.pdf | 585.1 kB | Adobe PDF | View/Open |
This item is licensed under a
Creative Commons License