Ladder relations for a class of matrix valued orthogonal polynomials

Deaño Cabrera, Alfredo; Eijsvoogel, Bruno; Román, Pablo

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dc.contributor.author	Deaño Cabrera, Alfredo
dc.contributor.author	Eijsvoogel, Bruno
dc.contributor.author	Román, Pablo
dc.date.accessioned	2021-03-02T08:53:48Z
dc.date.available	2021-03-02T08:53:48Z
dc.date.issued	2021-02
dc.identifier.bibliographicCitation	Deaño, A., Eijsvoogel, B., Román, P. (2020). Ladder relations for a class of matrix valued orthogonal polynomials. Studies in Applied Mathematics, 146(2), 463–497.
dc.identifier.issn	0022-2526
dc.identifier.uri	http://hdl.handle.net/10016/32063
dc.description.abstract	Using the theory introduced by Casper and Yakimov, we investigate the structure of algebras of differential and difference operators acting on matrix valued orthogonal polynomials (MVOPs) on R, and we derive algebraic and differential relations for these MVOPs. A particular case of importance is that of MVOPs with respect to a matrix weight of the form W(x)=e-v(x) exAexA* on the real line, where v is a scalar polynomial of even degree with positive leading coefficient and A is a constant matrix.
dc.description.sponsorship	Erasmus+ travel grant and EPSRC grant "Painlevé equations: analytical properties and numerical computation," reference EP/P026532/1; London Mathematical Society (Research in pairs scheme); FONCyT grant PICT 2014-3452; SeCyTUNC.
dc.format.extent	35
dc.language.iso	eng
dc.publisher	Wiley Periodicals LLC
dc.rights	© 2020 The Authors
dc.rights	Atribución 3.0 España
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/es/
dc.subject.other	Integrable systems
dc.subject.other	Ladder relations
dc.subject.other	Mathematical physics
dc.subject.other	Non-Abelian Toda lattice
dc.subject.other	Orthogonal polynomials
dc.title	Ladder relations for a class of matrix valued orthogonal polynomials
dc.type	article
dc.subject.eciencia	Matemáticas
dc.identifier.doi	https://doi.org/10.1111/sapm.12351
dc.rights.accessRights	openAccess
dc.type.version	publishedVersion
dc.identifier.publicationfirstpage	463
dc.identifier.publicationissue	2
dc.identifier.publicationlastpage	497
dc.identifier.publicationtitle	Studies in Applied Mathematics
dc.identifier.publicationvolume	146
dc.identifier.uxxi	AR/0000026487