Discrete semi-classical orthogonal polynomials of class one on quadratic lattices

Detalhes bibliográficos
Autor(a) principal: Rebocho, M. N.
Data de Publicação: 2019
Outros Autores: Filipuk, Galina
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/8993
Resumo: We study orthogonal polynomials on quadratic lattices with respect to a Stieltjes function, S, that satisfies a difference equation ADS = CMS+D; where A is a polynomial of degree less or equal than 3 and C is a polynomial of degree greater or equal than 1 and less or equal than 2. We show systems of difference equations for the orthogonal polynomials that arise from the so-called compatibility conditions. Some closed formulae for the recurrence relation coefficients are obtained.
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spelling Discrete semi-classical orthogonal polynomials of class one on quadratic latticesDiscrete orthogonal polynomialsQuadratic latticeDivided-dierence operatorSemi-classical classWe study orthogonal polynomials on quadratic lattices with respect to a Stieltjes function, S, that satisfies a difference equation ADS = CMS+D; where A is a polynomial of degree less or equal than 3 and C is a polynomial of degree greater or equal than 1 and less or equal than 2. We show systems of difference equations for the orthogonal polynomials that arise from the so-called compatibility conditions. Some closed formulae for the recurrence relation coefficients are obtained.uBibliorumRebocho, M. N.Filipuk, Galina2020-02-04T14:37:24Z20192019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/8993engG. Filipuk and M.N. Rebocho, Discrete semi-classical orthogonal polynomials of class one on quadratic lattices, Journal of Difference Equations and Applications 25, no. 1 (2019) 1-20.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-12-15T09:49:29Zoai:ubibliorum.ubi.pt:10400.6/8993Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:15.018068Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Discrete semi-classical orthogonal polynomials of class one on quadratic lattices
title Discrete semi-classical orthogonal polynomials of class one on quadratic lattices
spellingShingle Discrete semi-classical orthogonal polynomials of class one on quadratic lattices
Rebocho, M. N.
Discrete orthogonal polynomials
Quadratic lattice
Divided-dierence operator
Semi-classical class
title_short Discrete semi-classical orthogonal polynomials of class one on quadratic lattices
title_full Discrete semi-classical orthogonal polynomials of class one on quadratic lattices
title_fullStr Discrete semi-classical orthogonal polynomials of class one on quadratic lattices
title_full_unstemmed Discrete semi-classical orthogonal polynomials of class one on quadratic lattices
title_sort Discrete semi-classical orthogonal polynomials of class one on quadratic lattices
author Rebocho, M. N.
author_facet Rebocho, M. N.
Filipuk, Galina
author_role author
author2 Filipuk, Galina
author2_role author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Rebocho, M. N.
Filipuk, Galina
dc.subject.por.fl_str_mv Discrete orthogonal polynomials
Quadratic lattice
Divided-dierence operator
Semi-classical class
topic Discrete orthogonal polynomials
Quadratic lattice
Divided-dierence operator
Semi-classical class
description We study orthogonal polynomials on quadratic lattices with respect to a Stieltjes function, S, that satisfies a difference equation ADS = CMS+D; where A is a polynomial of degree less or equal than 3 and C is a polynomial of degree greater or equal than 1 and less or equal than 2. We show systems of difference equations for the orthogonal polynomials that arise from the so-called compatibility conditions. Some closed formulae for the recurrence relation coefficients are obtained.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-01-01T00:00:00Z
2020-02-04T14:37:24Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.6/8993
url http://hdl.handle.net/10400.6/8993
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv G. Filipuk and M.N. Rebocho, Discrete semi-classical orthogonal polynomials of class one on quadratic lattices, Journal of Difference Equations and Applications 25, no. 1 (2019) 1-20.
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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