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

Bibliographic Details
Main Author: Rebocho, M. N.
Publication Date: 2017
Other Authors: Filipuk, Galina
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.6/9000
Summary: 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 conditionsOrthogonal polynomialsDivided-difference operatorNon-uniform latticesLaguerre-Hahn classWe 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.uBibliorumRebocho, M. N.Filipuk, Galina2020-02-04T15:25:47Z20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/9000enginfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-03-11T15:13:08Zoai:ubibliorum.ubi.pt:10400.6/9000Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T01:24:17.285846Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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
Rebocho, M. N.
Orthogonal polynomials
Divided-difference operator
Non-uniform lattices
Laguerre-Hahn class
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 Rebocho, M. N.
author_facet Rebocho, M. N.
Filipuk, Galina
author_role author
author2 Filipuk, Galina
author2_role author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Rebocho, M. N.
Filipuk, Galina
dc.subject.por.fl_str_mv Orthogonal polynomials
Divided-difference operator
Non-uniform lattices
Laguerre-Hahn class
topic Orthogonal polynomials
Divided-difference operator
Non-uniform lattices
Laguerre-Hahn class
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
2017-01-01T00:00:00Z
2020-02-04T15:25:47Z
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/10400.6/9000
url http://hdl.handle.net/10400.6/9000
dc.language.iso.fl_str_mv eng
language eng
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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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