Polinômios q-Ortogonais
| Ano de defesa: | 2018 |
|---|---|
| Autor(a) principal: | |
| Orientador(a): | |
| Banca de defesa: | |
| Tipo de documento: | Dissertação |
| Tipo de acesso: | Acesso aberto |
| Idioma: | por |
| Instituição de defesa: |
Universidade Estadual Paulista (Unesp)
|
| Programa de Pós-Graduação: |
Não Informado pela instituição
|
| Departamento: |
Não Informado pela instituição
|
| País: |
Não Informado pela instituição
|
| Palavras-chave em Português: | |
| Palavras-chave em Inglês: | |
| Link de acesso: | http://hdl.handle.net/11449/154230 |
Resumo: | O objetivo desta dissertação é estudar os chamados polinômios q-ortogonais. Com esse objetivo, analisamos algumas das igualdades envolvendo q-fatoriais, séries q-hipergeométricas e suas aplicações em certos polinômios q-ortogonais. Os resultados estão associados a quatro casos particulares de polinômios q-ortogonais, q-Hermite, q-Ultra-esféricos, Al-Salam-Chihara e Askey-Wilson, os quais são bastante explorados. |
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Rafael, Matheus Henrique de Figueiredo [UNESP]Universidade Estadual Paulista (Unesp)Bracciali, Cleonice FátimaFélix, Heron MartinsRanga, Alagacone Sri [UNESP]2018-06-12T19:00:48Z2018-06-12T19:00:48Z2018-05-24http://hdl.handle.net/11449/15423000090499333004153071P0O objetivo desta dissertação é estudar os chamados polinômios q-ortogonais. Com esse objetivo, analisamos algumas das igualdades envolvendo q-fatoriais, séries q-hipergeométricas e suas aplicações em certos polinômios q-ortogonais. Os resultados estão associados a quatro casos particulares de polinômios q-ortogonais, q-Hermite, q-Ultra-esféricos, Al-Salam-Chihara e Askey-Wilson, os quais são bastante explorados.The objective of this dissertation is to consider a study of the so-called q-orthogonal polynomials. With this objective we look at some of the equalities involving qfatorials,q-hypergeometric series and their applications towards certain q-orthogonal polynomials. Results are associated with four particular cases of q-orthogonal polynomials,namely: theq-Hermite, q-Ultraespherical, Al-Salam-Chihara and the AskeyWilson, which thouroughly explored.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)porUniversidade Estadual Paulista (Unesp)AnálisePolinômios ortogonaisPolinômios q-OrtogonaisAnalysisOrthogonal polynomialsq-Orthogonal polynomialsPolinômios q-Ortogonaisq-Orthogonal Polynomialsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPMatemática - IBILCEAnálise aplicadaFunções especiais e polinômios ortogonaisUniversidade Estadual Paulista (UNESP), Instituto de Biociências Letras e Ciências Exatas, São José do Rio PretoOnline35871233097456100000-0002-5124-8423Publication43c38943-bd6f-4fb6-a9a5-8482a1f632c0virtual::297718-143c38943-bd6f-4fb6-a9a5-8482a1f632c0virtual::297718-14782a4c4-7fef-42fc-b83d-1a732f91b4c4virtual::272373-14782a4c4-7fef-42fc-b83d-1a732f91b4c4virtual::272373-1ORIGINALrafael_mhf_me_sjrp.pdfrafael_mhf_me_sjrp.pdfapplication/pdf638040https://repositorio.unesp.br/bitstreams/fc5a7018-1238-49a3-b67b-4a8ecef7d45d/download3c71db8c27eb62182e4783fe8b859446MD53trueAnonymousREADLICENSElicense.txtWritten by org.dspace.content.LicenseUtilstext/plain; charset=utf-82996https://repositorio.unesp.br/bitstreams/ef3a9e07-05cc-4336-9338-6154979ea74b/downloadd3aa2e642e7fa29a5e42d51ad3300f01MD52falseAnonymousREADTEXTrafael_mhf_me_sjrp.pdf.txtWritten by FormatFilter org.dspace.app.mediafilter.TikaTextExtractionFilter on 2024-01-09T06:29:49Z (GMT).Extracted texttext/plain68736https://repositorio.unesp.br/bitstreams/55a53ba4-5d35-41de-8906-3f42edc506c5/download22abea7c3c16c7f9f1a3c2e0a12f3874MD56falseAnonymousREADTHUMBNAILrafael_mhf_me_sjrp.pdf.jpgWritten by FormatFilter org.dspace.app.mediafilter.ImageMagickPdfThumbnailFilter on 2018-06-13T06:02:46Z (GMT).IM Thumbnailimage/jpeg3987https://repositorio.unesp.br/bitstreams/12a5cc01-0fa9-40f7-8222-e4f57f5c2727/downloadffc028caa495d05307f272e2d9181939MD55falseAnonymousREAD11449/1542302026-07-25T06:25:07.064579Zopen.accessoai:repositorio.unesp.br:11449/154230https://repositorio.unesp.brRepositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462026-07-25T06:25:07Repositório Institucional da UNESP - 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| dc.title.pt.fl_str_mv |
Polinômios q-Ortogonais |
| dc.title.alternative.en.fl_str_mv |
q-Orthogonal Polynomials |
| title |
Polinômios q-Ortogonais |
| spellingShingle |
Polinômios q-Ortogonais Rafael, Matheus Henrique de Figueiredo [UNESP] Análise Polinômios ortogonais Polinômios q-Ortogonais Analysis Orthogonal polynomials q-Orthogonal polynomials |
| title_short |
Polinômios q-Ortogonais |
| title_full |
Polinômios q-Ortogonais |
| title_fullStr |
Polinômios q-Ortogonais |
| title_full_unstemmed |
Polinômios q-Ortogonais |
| title_sort |
Polinômios q-Ortogonais |
| author |
Rafael, Matheus Henrique de Figueiredo [UNESP] |
| author_facet |
Rafael, Matheus Henrique de Figueiredo [UNESP] |
| author_role |
author |
| dc.contributor.institution.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
| dc.contributor.committeeMember.none.fl_str_mv |
Bracciali, Cleonice Fátima Félix, Heron Martins |
| dc.contributor.author.fl_str_mv |
Rafael, Matheus Henrique de Figueiredo [UNESP] |
| dc.contributor.advisor1.fl_str_mv |
Ranga, Alagacone Sri [UNESP] |
| contributor_str_mv |
Ranga, Alagacone Sri [UNESP] |
| dc.subject.por.fl_str_mv |
Análise Polinômios ortogonais Polinômios q-Ortogonais |
| topic |
Análise Polinômios ortogonais Polinômios q-Ortogonais Analysis Orthogonal polynomials q-Orthogonal polynomials |
| dc.subject.eng.fl_str_mv |
Analysis Orthogonal polynomials q-Orthogonal polynomials |
| description |
O objetivo desta dissertação é estudar os chamados polinômios q-ortogonais. Com esse objetivo, analisamos algumas das igualdades envolvendo q-fatoriais, séries q-hipergeométricas e suas aplicações em certos polinômios q-ortogonais. Os resultados estão associados a quatro casos particulares de polinômios q-ortogonais, q-Hermite, q-Ultra-esféricos, Al-Salam-Chihara e Askey-Wilson, os quais são bastante explorados. |
| publishDate |
2018 |
| dc.date.accessioned.fl_str_mv |
2018-06-12T19:00:48Z |
| dc.date.available.fl_str_mv |
2018-06-12T19:00:48Z |
| dc.date.issued.fl_str_mv |
2018-05-24 |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
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masterThesis |
| status_str |
publishedVersion |
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http://hdl.handle.net/11449/154230 |
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000904993 |
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33004153071P0 |
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http://hdl.handle.net/11449/154230 |
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000904993 33004153071P0 |
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por |
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por |
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info:eu-repo/semantics/openAccess |
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openAccess |
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Universidade Estadual Paulista (Unesp) |
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Universidade Estadual Paulista (Unesp) |
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