Orthogonal polynomial interpretation of q-Toda and q-Volterra equations

Detalhes bibliográficos
Autor(a) principal: Área, Ivan
Data de Publicação: 2018
Outros Autores: Branquinho, Amílcar, Godoy, Eduardo, Moreno, Ana Foulquié
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/21862
Resumo: The correspondences between dynamics of q-Toda and q-Volterra equations for the coefficients of the Jacobi operator and its resolvent function are established. The orthogonal polynomials associated with these Jacobi operators satisfy an Appell condition, with respect to the q-difference operator Dq . Lax type theorems for the point spectrum of the Jacobi operators associated with these equations are obtained. Examples related with the big q-Legendre, discrete q-Hermite I, and little q-Laguerre orthogonal polynomials and q-Toda and q-Volterra equations are given.
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spelling Orthogonal polynomial interpretation of q-Toda and q-Volterra equationsq-Difference equationsRecurrence relationsOrthogonal polynomialsq-Toda equationsq-Volterra equationsLax type theoremsThe correspondences between dynamics of q-Toda and q-Volterra equations for the coefficients of the Jacobi operator and its resolvent function are established. The orthogonal polynomials associated with these Jacobi operators satisfy an Appell condition, with respect to the q-difference operator Dq . Lax type theorems for the point spectrum of the Jacobi operators associated with these equations are obtained. Examples related with the big q-Legendre, discrete q-Hermite I, and little q-Laguerre orthogonal polynomials and q-Toda and q-Volterra equations are given.Springer Singapore2018-012018-01-01T00:00:00Z2019-01-01T16:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/21862eng0126-670510.1007/s40840-016-0305-7Área, IvanBranquinho, AmílcarGodoy, EduardoMoreno, Ana Foulquiéinfo: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:RCAAP2024-02-22T11:42:15Zoai:ria.ua.pt:10773/21862Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:55:57.705748Repositório 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 polynomial interpretation of q-Toda and q-Volterra equations
title Orthogonal polynomial interpretation of q-Toda and q-Volterra equations
spellingShingle Orthogonal polynomial interpretation of q-Toda and q-Volterra equations
Área, Ivan
q-Difference equations
Recurrence relations
Orthogonal polynomials
q-Toda equations
q-Volterra equations
Lax type theorems
title_short Orthogonal polynomial interpretation of q-Toda and q-Volterra equations
title_full Orthogonal polynomial interpretation of q-Toda and q-Volterra equations
title_fullStr Orthogonal polynomial interpretation of q-Toda and q-Volterra equations
title_full_unstemmed Orthogonal polynomial interpretation of q-Toda and q-Volterra equations
title_sort Orthogonal polynomial interpretation of q-Toda and q-Volterra equations
author Área, Ivan
author_facet Área, Ivan
Branquinho, Amílcar
Godoy, Eduardo
Moreno, Ana Foulquié
author_role author
author2 Branquinho, Amílcar
Godoy, Eduardo
Moreno, Ana Foulquié
author2_role author
author
author
dc.contributor.author.fl_str_mv Área, Ivan
Branquinho, Amílcar
Godoy, Eduardo
Moreno, Ana Foulquié
dc.subject.por.fl_str_mv q-Difference equations
Recurrence relations
Orthogonal polynomials
q-Toda equations
q-Volterra equations
Lax type theorems
topic q-Difference equations
Recurrence relations
Orthogonal polynomials
q-Toda equations
q-Volterra equations
Lax type theorems
description The correspondences between dynamics of q-Toda and q-Volterra equations for the coefficients of the Jacobi operator and its resolvent function are established. The orthogonal polynomials associated with these Jacobi operators satisfy an Appell condition, with respect to the q-difference operator Dq . Lax type theorems for the point spectrum of the Jacobi operators associated with these equations are obtained. Examples related with the big q-Legendre, discrete q-Hermite I, and little q-Laguerre orthogonal polynomials and q-Toda and q-Volterra equations are given.
publishDate 2018
dc.date.none.fl_str_mv 2018-01
2018-01-01T00:00:00Z
2019-01-01T16:00:00Z
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/10773/21862
url http://hdl.handle.net/10773/21862
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0126-6705
10.1007/s40840-016-0305-7
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.publisher.none.fl_str_mv Springer Singapore
publisher.none.fl_str_mv Springer Singapore
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
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