Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions

Detalhes bibliográficos
Autor(a) principal: Filipuk, Galina
Data de Publicação: 2017
Outros Autores: Rebocho, Maria das Neves
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/43964
https://doi.org/10.1016/j.jmaa.2017.07.059
Resumo: We deduce difference equations in the matrix form for Laguerre–Hahn orthogonal polynomials on systems of non-uniform lattices, the so-called compatibility conditions, involving the transfer matrices. As a consequence, we obtain closed form expressions for the recurrence relation coefficients of the Laguerre–Hahn polynomials of class zero.
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spelling Orthogonal polynomials on systems of non-uniform lattices from compatibility conditionsWe deduce difference equations in the matrix form for Laguerre–Hahn orthogonal polynomials on systems of non-uniform lattices, the so-called compatibility conditions, involving the transfer matrices. As a consequence, we obtain closed form expressions for the recurrence relation coefficients of the Laguerre–Hahn polynomials of class zero.Elsevier2017info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/43964http://hdl.handle.net/10316/43964https://doi.org/10.1016/j.jmaa.2017.07.059https://doi.org/10.1016/j.jmaa.2017.07.059enghttps://doi.org/10.1016/j.jmaa.2017.07.059Filipuk, GalinaRebocho, Maria das Nevesinfo: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:RCAAP2021-06-29T10:03:02Zoai:estudogeral.uc.pt:10316/43964Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:30.256836Repositório 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 Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions
title Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions
spellingShingle Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions
Filipuk, Galina
title_short Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions
title_full Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions
title_fullStr Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions
title_full_unstemmed Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions
title_sort Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions
author Filipuk, Galina
author_facet Filipuk, Galina
Rebocho, Maria das Neves
author_role author
author2 Rebocho, Maria das Neves
author2_role author
dc.contributor.author.fl_str_mv Filipuk, Galina
Rebocho, Maria das Neves
description We deduce difference equations in the matrix form for Laguerre–Hahn orthogonal polynomials on systems of non-uniform lattices, the so-called compatibility conditions, involving the transfer matrices. As a consequence, we obtain closed form expressions for the recurrence relation coefficients of the Laguerre–Hahn polynomials of class zero.
publishDate 2017
dc.date.none.fl_str_mv 2017
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/10316/43964
http://hdl.handle.net/10316/43964
https://doi.org/10.1016/j.jmaa.2017.07.059
https://doi.org/10.1016/j.jmaa.2017.07.059
url http://hdl.handle.net/10316/43964
https://doi.org/10.1016/j.jmaa.2017.07.059
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.1016/j.jmaa.2017.07.059
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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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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