Orthogonal polynomial interpretation of q-Toda and q-Volterra equations
Autor(a) principal: | |
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Data de Publicação: | 2018 |
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/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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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 |
repository.mail.fl_str_mv |
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1799137612956434432 |