Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/100132
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Branquinho, Amílcar | - |
dc.contributor.author | Moreno, Ana Foulquié | - |
dc.contributor.author | Fradi, Assil | - |
dc.contributor.author | Mañas, Manuel | - |
dc.date.accessioned | 2022-05-16T08:16:44Z | - |
dc.date.available | 2022-05-16T08:16:44Z | - |
dc.date.issued | 2022 | - |
dc.identifier.issn | 2227-7390 | pt |
dc.identifier.uri | https://hdl.handle.net/10316/100132 | - |
dc.description.abstract | In 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.iso | eng | pt |
dc.publisher | MDPI | pt |
dc.relation | i | pt |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB/04106/2020/PT/Center for Research and Development in Mathematics and Applications | pt |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP/04106/2020/PT/Center for Research and Development in Mathematics and Applications | pt |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID/MAT/00324/2019/PT/Center for Mathematics, University of Coimbra | pt |
dc.rights | openAccess | pt |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt |
dc.subject | discrete integrable systems | pt |
dc.subject | matrix biorthogonal polynomials | pt |
dc.subject | matrix Pearson equations | pt |
dc.subject | non-Abelian discrete Painlevé IV equation | pt |
dc.subject | Riemann–Hilbert problems | pt |
dc.title | Riemann–Hilbert Problem for the Matrix Laguerre Biorthogonal Polynomials: The Matrix Discrete Painlevé IV | pt |
dc.type | article | - |
degois.publication.firstPage | 1205 | pt |
degois.publication.issue | 8 | pt |
degois.publication.title | Mathematics | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.3390/math10081205 | pt |
degois.publication.volume | 10 | pt |
dc.date.embargo | 2022-01-01 | * |
uc.date.periodoEmbargo | 0 | pt |
item.openairetype | article | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0003-4685-1583 | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais I&D CMUC - Artigos em Revistas Internacionais |
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File | Description | Size | Format | |
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mathematics-10-01205-v2.pdf | 383.42 kB | Adobe PDF | View/Open |
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