A note on a one-parameter family of non-symmetric number triangles

Detalhes bibliográficos
Autor(a) principal: Falcão, M. I.
Data de Publicação: 2012
Outros Autores: Malonek, H. R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/22218
Resumo: The recently growing interest in special Cliff ord Algebra valued polynomial solutions of generalized Cauchy-Riemann systems in (n + 1)-dimensional Euclidean spaces suggested a detailed study of the arithmetical properties of their coe fficients, due to their combinatoric relevance. This concerns, in particular, a generalized Appell sequence of homogeneous polynomials whose coe cient's set can be treated as a one-parameter family of non-symmetric triangles of fractions. The discussion of its properties, similar to those of the ordinary Pascal triangle (which itself does not belong to the family), is carried out in this paper.
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spelling A note on a one-parameter family of non-symmetric number trianglesClifford AnalysisGeneralized Appell polynomialsNumber triangleCentral binomial coe cientBinomial identityCentral binomial coefficientScience & TechnologyThe recently growing interest in special Cliff ord Algebra valued polynomial solutions of generalized Cauchy-Riemann systems in (n + 1)-dimensional Euclidean spaces suggested a detailed study of the arithmetical properties of their coe fficients, due to their combinatoric relevance. This concerns, in particular, a generalized Appell sequence of homogeneous polynomials whose coe cient's set can be treated as a one-parameter family of non-symmetric triangles of fractions. The discussion of its properties, similar to those of the ordinary Pascal triangle (which itself does not belong to the family), is carried out in this paper.Fundação para a Ciência e a Tecnologia (FCT)AGH University of Science and Technology PressUniversidade do MinhoFalcão, M. I.Malonek, H. R.2012-122012-12-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/22218eng1232−927410.7494/OpMath.2012.32.4.661http://www.opuscula.agh.edu.pl/vol32/4/art/opuscula_math_3246.pdfinfo: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:RCAAP2023-07-21T12:26:53Zoai:repositorium.sdum.uminho.pt:1822/22218Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:21:23.199749Repositório 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 A note on a one-parameter family of non-symmetric number triangles
title A note on a one-parameter family of non-symmetric number triangles
spellingShingle A note on a one-parameter family of non-symmetric number triangles
Falcão, M. I.
Clifford Analysis
Generalized Appell polynomials
Number triangle
Central binomial coe cient
Binomial identity
Central binomial coefficient
Science & Technology
title_short A note on a one-parameter family of non-symmetric number triangles
title_full A note on a one-parameter family of non-symmetric number triangles
title_fullStr A note on a one-parameter family of non-symmetric number triangles
title_full_unstemmed A note on a one-parameter family of non-symmetric number triangles
title_sort A note on a one-parameter family of non-symmetric number triangles
author Falcão, M. I.
author_facet Falcão, M. I.
Malonek, H. R.
author_role author
author2 Malonek, H. R.
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Falcão, M. I.
Malonek, H. R.
dc.subject.por.fl_str_mv Clifford Analysis
Generalized Appell polynomials
Number triangle
Central binomial coe cient
Binomial identity
Central binomial coefficient
Science & Technology
topic Clifford Analysis
Generalized Appell polynomials
Number triangle
Central binomial coe cient
Binomial identity
Central binomial coefficient
Science & Technology
description The recently growing interest in special Cliff ord Algebra valued polynomial solutions of generalized Cauchy-Riemann systems in (n + 1)-dimensional Euclidean spaces suggested a detailed study of the arithmetical properties of their coe fficients, due to their combinatoric relevance. This concerns, in particular, a generalized Appell sequence of homogeneous polynomials whose coe cient's set can be treated as a one-parameter family of non-symmetric triangles of fractions. The discussion of its properties, similar to those of the ordinary Pascal triangle (which itself does not belong to the family), is carried out in this paper.
publishDate 2012
dc.date.none.fl_str_mv 2012-12
2012-12-01T00:00:00Z
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/1822/22218
url http://hdl.handle.net/1822/22218
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1232−9274
10.7494/OpMath.2012.32.4.661
http://www.opuscula.agh.edu.pl/vol32/4/art/opuscula_math_3246.pdf
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 AGH University of Science and Technology Press
publisher.none.fl_str_mv AGH University of Science and Technology Press
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
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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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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