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Shape invariance and equivalence relations for pseudo-Wronskians of Laguerre and Jacobi polynomials

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dc.contributor.authorGómez Ullate, David
dc.contributor.authorGrandati, Yves
dc.contributor.authorMilson, Robert
dc.contributor.rorhttps://ror.org/02jjdwm75
dc.date.accessioned2025-02-19T11:57:01Z
dc.date.available2025-02-19T11:57:01Z
dc.date.issued2018-02-15
dc.description.abstractIn a previous paper we derived equivalence relations for pseudo-Wronskian determinants of Hermite polynomials. In this paper we obtain the analogous result for Laguerre and Jacobi polynomials. The equivalence formulas are richer in this case since rational Darboux transformations can be defined for four families of seed functions, as opposed to only two families in the Hermite case. The pseudo-Wronskian determinants of Laguerre and Jacobi type will thus depend on two Maya diagrams, while Hermite pseudo-Wronskians depend on just one Maya diagram. We show that these equivalence relations can be interpreted as the general transcription of shape invariance and specific discrete symmetries acting on the parameters of the isotonic oscillator and Darboux-P¨oschl-Teller potential.
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dc.description.statusPublished
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dc.identifier.citationGómez-Ullate, D., Grandati, Y., & Milson, R. (2018). Shape invariance and equivalence relations for pseudo-Wronskians of Laguerre and Jacobi polynomials. Journal of Physics A: Mathematical and Theoretical, 51(34), 345201. https://doi.org/10.1088/1751-8121/aace4b
dc.identifier.doihttps://doi.org/10.1088/1751-8121/aace4b
dc.identifier.issn1751-8121
dc.identifier.urihttps://hdl.handle.net/20.500.14417/3587
dc.issue.number34
dc.journal.titleJournal of Physics A: Mathematical and Theoretical
dc.language.isoen
dc.page.total28
dc.publisherCornell University
dc.relation.departmentApplied Mathematics
dc.relation.entityIE University
dc.relation.schoolIE School of Science & Technology
dc.rightsAttribution 4.0 International
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/deed
dc.titleShape invariance and equivalence relations for pseudo-Wronskians of Laguerre and Jacobi polynomials
dc.typeinfo:eu-repo/semantics/article
dc.version.typeinfo:eu-repo/semantics/acceptedVersion
dc.volume.number51
dspace.entity.typePublication
relation.isAuthorOfPublicationd0525f43-b84b-4613-9984-4324ddf81556
relation.isAuthorOfPublication.latestForDiscoveryd0525f43-b84b-4613-9984-4324ddf81556
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