Laguerre‐Freud equations for three families of hypergeometric discrete orthogonal polynomials

The Cholesky factorization of the moment matrix is considered for discrete orthogonal polynomials of hypergeometric type. We derive the Laguerre-Freud equations when the first moments of the weights are given by the F-1(2), F-2(2), and F-3(2) generalized hypergeometric series.

Detalles Bibliográficos
Autores: Fernández Irisarri, Itsaso, Mañas Baena, Manuel Enrique
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/102826
Acceso en línea:https://hdl.handle.net/20.500.14352/102826
Access Level:acceso abierto
Palabra clave:51-72
Banded matrices
Discrete orthogonal polynomials
Generalized hypergeometric series
Jacobi matrix
Laguerre-Freud equations
Pearson equations
Semiclassical discrete orthogonal polynomials
Recursion relations
Física-Modelos matemáticos
2212 Física Teórica
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oai_identifier_str oai:docta.ucm.es:20.500.14352/102826
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repository_id_str
spelling Laguerre‐Freud equations for three families of hypergeometric discrete orthogonal polynomialsFernández Irisarri, ItsasoMañas Baena, Manuel Enrique51-72Banded matricesDiscrete orthogonal polynomialsGeneralized hypergeometric seriesJacobi matrixLaguerre-Freud equationsPearson equationsSemiclassical discrete orthogonal polynomialsRecursion relationsFísica-Modelos matemáticos2212 Física TeóricaThe Cholesky factorization of the moment matrix is considered for discrete orthogonal polynomials of hypergeometric type. We derive the Laguerre-Freud equations when the first moments of the weights are given by the F-1(2), F-2(2), and F-3(2) generalized hypergeometric series.WileyUniversidad Complutense de Madrid20232023-08-0120232023-08-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/102826reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PGC2018-096504-B-C33 ORTOGONALIDAD Y APROXIMACION: TEORIA Y APLICACIONES EN FISICA MATEMATICAMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 PID2021-122154NB-I00 Not availableopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/1028262026-06-02T12:44:21Z
dc.title.none.fl_str_mv Laguerre‐Freud equations for three families of hypergeometric discrete orthogonal polynomials
title Laguerre‐Freud equations for three families of hypergeometric discrete orthogonal polynomials
spellingShingle Laguerre‐Freud equations for three families of hypergeometric discrete orthogonal polynomials
Fernández Irisarri, Itsaso
51-72
Banded matrices
Discrete orthogonal polynomials
Generalized hypergeometric series
Jacobi matrix
Laguerre-Freud equations
Pearson equations
Semiclassical discrete orthogonal polynomials
Recursion relations
Física-Modelos matemáticos
2212 Física Teórica
title_short Laguerre‐Freud equations for three families of hypergeometric discrete orthogonal polynomials
title_full Laguerre‐Freud equations for three families of hypergeometric discrete orthogonal polynomials
title_fullStr Laguerre‐Freud equations for three families of hypergeometric discrete orthogonal polynomials
title_full_unstemmed Laguerre‐Freud equations for three families of hypergeometric discrete orthogonal polynomials
title_sort Laguerre‐Freud equations for three families of hypergeometric discrete orthogonal polynomials
dc.creator.none.fl_str_mv Fernández Irisarri, Itsaso
Mañas Baena, Manuel Enrique
author Fernández Irisarri, Itsaso
author_facet Fernández Irisarri, Itsaso
Mañas Baena, Manuel Enrique
author_role author
author2 Mañas Baena, Manuel Enrique
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 51-72
Banded matrices
Discrete orthogonal polynomials
Generalized hypergeometric series
Jacobi matrix
Laguerre-Freud equations
Pearson equations
Semiclassical discrete orthogonal polynomials
Recursion relations
Física-Modelos matemáticos
2212 Física Teórica
topic 51-72
Banded matrices
Discrete orthogonal polynomials
Generalized hypergeometric series
Jacobi matrix
Laguerre-Freud equations
Pearson equations
Semiclassical discrete orthogonal polynomials
Recursion relations
Física-Modelos matemáticos
2212 Física Teórica
description The Cholesky factorization of the moment matrix is considered for discrete orthogonal polynomials of hypergeometric type. We derive the Laguerre-Freud equations when the first moments of the weights are given by the F-1(2), F-2(2), and F-3(2) generalized hypergeometric series.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-08-01
2023
2023-08-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/102826
url https://hdl.handle.net/20.500.14352/102826
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PGC2018-096504-B-C33 ORTOGONALIDAD Y APROXIMACION: TEORIA Y APLICACIONES EN FISICA MATEMATICA
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 PID2021-122154NB-I00 Not available
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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