Nonlinear difference equations for a modified Laguerre weight: Laguerre-Freud equations and asymptotics
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.6/8992 |
Resumo: | In this paper we derive second and third order nonlinear difference equations for one of the recurrence coefficients in the three term recurrence relation of polynomials orthogonal with respect to a modified Laguerre weight. We show how these equations can be obtained from the Backlund transformations of the third Painlevé equation. We also show how to use nonlinear difference equations to derive a few terms in the formal asymptotic expansions in n of the recurrence coefficients. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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Nonlinear difference equations for a modified Laguerre weight: Laguerre-Freud equations and asymptoticsOrthogonal polynomialsDifference equationsPainlev e equationsBacklund transformationsAsymptotic expansionsIn this paper we derive second and third order nonlinear difference equations for one of the recurrence coefficients in the three term recurrence relation of polynomials orthogonal with respect to a modified Laguerre weight. We show how these equations can be obtained from the Backlund transformations of the third Painlevé equation. We also show how to use nonlinear difference equations to derive a few terms in the formal asymptotic expansions in n of the recurrence coefficients..uBibliorumRebocho, M. N.Filipuk, GalinaChen, Yang2020-02-04T14:26:20Z20192019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/8992engY. Chen, G. Filipuk, and M.N. Rebocho, Nonlinear difference equations for a modified Laguerre weight: Laguerre-Freud equations and asymptotics, Jaen Journal on Approximation 11, no. 1-2 (2019) 47-65.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:10400.6/8992Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:14.975563Repositório 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 |
Nonlinear difference equations for a modified Laguerre weight: Laguerre-Freud equations and asymptotics |
title |
Nonlinear difference equations for a modified Laguerre weight: Laguerre-Freud equations and asymptotics |
spellingShingle |
Nonlinear difference equations for a modified Laguerre weight: Laguerre-Freud equations and asymptotics Rebocho, M. N. Orthogonal polynomials Difference equations Painlev e equations Backlund transformations Asymptotic expansions |
title_short |
Nonlinear difference equations for a modified Laguerre weight: Laguerre-Freud equations and asymptotics |
title_full |
Nonlinear difference equations for a modified Laguerre weight: Laguerre-Freud equations and asymptotics |
title_fullStr |
Nonlinear difference equations for a modified Laguerre weight: Laguerre-Freud equations and asymptotics |
title_full_unstemmed |
Nonlinear difference equations for a modified Laguerre weight: Laguerre-Freud equations and asymptotics |
title_sort |
Nonlinear difference equations for a modified Laguerre weight: Laguerre-Freud equations and asymptotics |
author |
Rebocho, M. N. |
author_facet |
Rebocho, M. N. Filipuk, Galina Chen, Yang |
author_role |
author |
author2 |
Filipuk, Galina Chen, Yang |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
uBibliorum |
dc.contributor.author.fl_str_mv |
Rebocho, M. N. Filipuk, Galina Chen, Yang |
dc.subject.por.fl_str_mv |
Orthogonal polynomials Difference equations Painlev e equations Backlund transformations Asymptotic expansions |
topic |
Orthogonal polynomials Difference equations Painlev e equations Backlund transformations Asymptotic expansions |
description |
In this paper we derive second and third order nonlinear difference equations for one of the recurrence coefficients in the three term recurrence relation of polynomials orthogonal with respect to a modified Laguerre weight. We show how these equations can be obtained from the Backlund transformations of the third Painlevé equation. We also show how to use nonlinear difference equations to derive a few terms in the formal asymptotic expansions in n of the recurrence coefficients. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019 2019-01-01T00:00:00Z 2020-02-04T14:26:20Z |
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/10400.6/8992 |
url |
http://hdl.handle.net/10400.6/8992 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Y. Chen, G. Filipuk, and M.N. Rebocho, Nonlinear difference equations for a modified Laguerre weight: Laguerre-Freud equations and asymptotics, Jaen Journal on Approximation 11, no. 1-2 (2019) 47-65. |
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) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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 |
repository.mail.fl_str_mv |
|
_version_ |
1799136385227030528 |