On the second order holonomic equation for Sobolev-type orthogonal polynomials

Detalhes bibliográficos
Autor(a) principal: Rebocho, Maria das Neves
Data de Publicação: 2022
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/12640
Resumo: It is presented a general approach to the study of orthogonal polynomials related to Sobolev inner products which are defined in terms of divided-difference operators having the fundamental property of leaving a polynomial of degree $n-1$ when applied to a polynomial of degree $n$. This paper gives analytic properties for the orthogonal polynomials, including the second order holonomic difference equation satisfied by them.
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spelling On the second order holonomic equation for Sobolev-type orthogonal polynomialsSobolev-type orthogonal polynomialsSpecial non-uniform latticesSemiclassical classHolonomic difference equationIt is presented a general approach to the study of orthogonal polynomials related to Sobolev inner products which are defined in terms of divided-difference operators having the fundamental property of leaving a polynomial of degree $n-1$ when applied to a polynomial of degree $n$. This paper gives analytic properties for the orthogonal polynomials, including the second order holonomic difference equation satisfied by them.uBibliorumRebocho, Maria das Neves2023-01-12T10:57:34Z2022-052022-05-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/12640engRebocho, M.N. (2022). On the second-order holonomic equation for Sobolev-type orthogonal polynomials. Applicable Analysis 101, no. 1, 314 - 336.https://doi.org/10.1080/00036811.2020.1742881info: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:RCAAP2023-12-15T09:55:53Zoai:ubibliorum.ubi.pt:10400.6/12640Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:52:12.161257Repositório 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 On the second order holonomic equation for Sobolev-type orthogonal polynomials
title On the second order holonomic equation for Sobolev-type orthogonal polynomials
spellingShingle On the second order holonomic equation for Sobolev-type orthogonal polynomials
Rebocho, Maria das Neves
Sobolev-type orthogonal polynomials
Special non-uniform lattices
Semiclassical class
Holonomic difference equation
title_short On the second order holonomic equation for Sobolev-type orthogonal polynomials
title_full On the second order holonomic equation for Sobolev-type orthogonal polynomials
title_fullStr On the second order holonomic equation for Sobolev-type orthogonal polynomials
title_full_unstemmed On the second order holonomic equation for Sobolev-type orthogonal polynomials
title_sort On the second order holonomic equation for Sobolev-type orthogonal polynomials
author Rebocho, Maria das Neves
author_facet Rebocho, Maria das Neves
author_role author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Rebocho, Maria das Neves
dc.subject.por.fl_str_mv Sobolev-type orthogonal polynomials
Special non-uniform lattices
Semiclassical class
Holonomic difference equation
topic Sobolev-type orthogonal polynomials
Special non-uniform lattices
Semiclassical class
Holonomic difference equation
description It is presented a general approach to the study of orthogonal polynomials related to Sobolev inner products which are defined in terms of divided-difference operators having the fundamental property of leaving a polynomial of degree $n-1$ when applied to a polynomial of degree $n$. This paper gives analytic properties for the orthogonal polynomials, including the second order holonomic difference equation satisfied by them.
publishDate 2022
dc.date.none.fl_str_mv 2022-05
2022-05-01T00:00:00Z
2023-01-12T10:57:34Z
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/10400.6/12640
url http://hdl.handle.net/10400.6/12640
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Rebocho, M.N. (2022). On the second-order holonomic equation for Sobolev-type orthogonal polynomials. Applicable Analysis 101, no. 1, 314 - 336.
https://doi.org/10.1080/00036811.2020.1742881
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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