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Exceptional orthogonal polynomials and the Darboux transformation

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dc.contributor.authorGómez-Ullate Otaiza, David
dc.contributor.authorKamran, N.
dc.contributor.authorMilson, R.
dc.date.accessioned2023-06-20T03:53:42Z
dc.date.available2023-06-20T03:53:42Z
dc.date.issued2010-10-29
dc.description© IOP Publishing Ltd. The research of DGU was supported in part by MICINN-FEDER grant MTM2009- 06973 and CUR-DIUE grant 2009SGR859. The research of NK was supported in part by NSERC grant RGPIN 105490-2004. The research of RM was supported in part by NSERC grant RGPIN-228057-2004.
dc.description.abstractWe adapt the notion of the Darboux transformation to the context of polynomial Sturm-Liouville problems. As an application, we characterize the recently described X(m) Laguerre polynomials in terms of an isospectral Darboux transformation. We also show that the shape invariance of these new polynomial families is a direct consequence of the permutability property of the Darboux-Crum transformation.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMICINN
dc.description.sponsorshipCUR-DIUE
dc.description.sponsorshipNSERC
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/30805
dc.identifier.issn1751-8113
dc.identifier.officialurlhttp://dx.doi.org/10.1088/1751-8113/43/43/434016
dc.identifier.relatedurlhttp://iopscience.iop.org
dc.identifier.relatedurlhttp://arxiv.org/abs/1002.2666
dc.identifier.urihttps://hdl.handle.net/20.500.14352/44630
dc.issue.number43
dc.journal.titleJournal of physics A: Mathematical and theoretical
dc.language.isoeng
dc.publisherIOP Publishing Ltd
dc.relation.projectIDMTM2009-06973
dc.relation.projectID2009SGR859
dc.relation.projectIDRGPIN 105490-2004
dc.relation.projectIDRGPIN-228057-2004
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordShape-invariant potentials
dc.subject.keywordQuasi-exact solvability
dc.subject.keywordQuantum-mechanics
dc.subject.keywordSupersymmetry
dc.subject.keywordSystems
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleExceptional orthogonal polynomials and the Darboux transformation
dc.typejournal article
dc.volume.number43
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