Hahn multiple orthogonal polynomials of type I: hypergeometric expressions

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dc.contributor.authorBranquinho, Amílcar
dc.contributor.authorDíaz, Juan E.F.
dc.contributor.authorFoulquié-Moreno, Ana
dc.contributor.authorMañas Baena, Manuel Enrique
dc.date.accessioned2024-04-04T17:06:41Z
dc.date.available2024-04-04T17:06:41Z
dc.date.issued2023-12-01
dc.description2023 Acuerdos transformativos CRUE
dc.description.abstractExplicit expressions for the Hahn multiple polynomials of type I, in terms of Kampé de Fériet hypergeometric series, are given. Orthogonal and biorthogonal relations are proven. Then, part of the Askey scheme for multiple orthogonal polynomials type I is completed. In particular, explicit expressions in terms of generalized hypergeometric series and Kampé de Fériet hypergeometric series, are given for the multiple orthogonal polynomials of type I for the Jacobi–Piñeiro, Meixner I, Meixner II, Kravchuk, Laguerre I, Laguerre II and Charlier families.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipFundação Para A Ciência e Tecnologia FCT/MECS
dc.description.sponsorshipCIDMA (Center for Research and Development in Mathematics and Applications) of University of Aveiro - Portuguese Government through FCT/MECS
dc.description.sponsorshipFundação Para A Ciência e Tecnologia (FCT) (Portugal)
dc.description.sponsorshipMinisterio de Ciencia e Innovación (España)
dc.description.sponsorshipAgencia Estatal de Investigación (España)
dc.description.statuspub
dc.identifier.citationBranquinho, A., Díaz, J. E., Foulquié-Moreno, A., & Mañas, M. (2023). Hahn multiple orthogonal polynomials of type I: Hypergeometric expressions. Journal of Mathematical Analysis and Applications, 528(1), 127471.
dc.identifier.doi10.1016/j.jmaa.2023.127471
dc.identifier.essn1096-0813
dc.identifier.issn0022-247X
dc.identifier.officialurlhttps://www.sciencedirect.com/science/article/pii/S0022247X23004742
dc.identifier.urihttps://hdl.handle.net/20.500.14352/102721
dc.issue.number1
dc.journal.titleJournal of Mathematical Analysis and Applications
dc.language.isoeng
dc.page.final127471-27
dc.page.initial127471-1
dc.publisherElsevier
dc.relation.projectIDUIDB/00324/2020
dc.relation.projectIDUIDB/04106/2020
dc.relation.projectIDUIDP/04106/2020
dc.relation.projectIDUI/BD/152576/2022
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-096504-B-C33/ES/ORTOGONALIDAD Y APROXIMACION: TEORIA Y APLICACIONES EN FISICA MATEMATICA/
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN/PID2021-122154NB-I00
dc.rightsAttribution 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.cdu51-72
dc.subject.keywordMultiple orthogonal polynomials
dc.subject.keywordAskey scheme
dc.subject.keywordGeneralized hypergeometric functions
dc.subject.keywordKampé de Feriet hypergeometric functions
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.unesco2212 Física Teórica
dc.titleHahn multiple orthogonal polynomials of type I: hypergeometric expressions
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number528
dspace.entity.typePublication
relation.isAuthorOfPublication0d5b5872-7553-4b33-b0e5-085ced5d8f42
relation.isAuthorOfPublication.latestForDiscovery0d5b5872-7553-4b33-b0e5-085ced5d8f42

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