Please use this identifier to cite or link to this item: https://hdl.handle.net/10316/100132
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dc.contributor.authorBranquinho, Amílcar-
dc.contributor.authorMoreno, Ana Foulquié-
dc.contributor.authorFradi, Assil-
dc.contributor.authorMañas, Manuel-
dc.date.accessioned2022-05-16T08:16:44Z-
dc.date.available2022-05-16T08:16:44Z-
dc.date.issued2022-
dc.identifier.issn2227-7390pt
dc.identifier.urihttps://hdl.handle.net/10316/100132-
dc.description.abstractIn this paper, the Riemann–Hilbert problem, with a jump supported on an appropriate curve on the complex plane with a finite endpoint at the origin, is used for the study of the corresponding matrix biorthogonal polynomials associated with Laguerre type matrices of weights—which are constructed in terms of a given matrix Pearson equation. First and second order differential systems for the fundamental matrix, solution of the mentioned Riemann–Hilbert problem, are derived. An explicit and general example is presented to illustrate the theoretical results of the work. The non-Abelian extensions of a family of discrete Painlevé IV equations are discussed. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.pt
dc.language.isoengpt
dc.publisherMDPIpt
dc.relationipt
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB/04106/2020/PT/Center for Research and Development in Mathematics and Applicationspt
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP/04106/2020/PT/Center for Research and Development in Mathematics and Applicationspt
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID/MAT/00324/2019/PT/Center for Mathematics, University of Coimbrapt
dc.rightsopenAccesspt
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt
dc.subjectdiscrete integrable systemspt
dc.subjectmatrix biorthogonal polynomialspt
dc.subjectmatrix Pearson equationspt
dc.subjectnon-Abelian discrete Painlevé IV equationpt
dc.subjectRiemann–Hilbert problemspt
dc.titleRiemann–Hilbert Problem for the Matrix Laguerre Biorthogonal Polynomials: The Matrix Discrete Painlevé IVpt
dc.typearticle-
degois.publication.firstPage1205pt
degois.publication.issue8pt
degois.publication.titleMathematicspt
dc.peerreviewedyespt
dc.identifier.doi10.3390/math10081205pt
degois.publication.volume10pt
dc.date.embargo2022-01-01*
uc.date.periodoEmbargo0pt
item.openairetypearticle-
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.grantfulltextopen-
item.fulltextCom Texto completo-
crisitem.author.researchunitCMUC - Centre for Mathematics of the University of Coimbra-
crisitem.author.orcid0000-0003-4685-1583-
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais
I&D CMUC - Artigos em Revistas Internacionais
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