Combinatorial Identities Associated with a Multidimensional Polynomial Sequence

Detalhes bibliográficos
Autor(a) principal: Cação, Isabel
Data de Publicação: 2018
Outros Autores: Malonek, Helmuth, Falcão, Irene, Tomaz, Graça
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10314/4510
Resumo: In this paper we combine the knowledge of different structures of a special Appell multidimensional polynomial sequence with the problem of establishing combinatorial identities. The elements of this special polynomial sequence have values in a Clifford algebra, are homogeneous hypercomplex differentiable functions of different degrees and their coefficients properties can be used to stress interesting matrix and combinatorial relations.
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spelling Combinatorial Identities Associated with a Multidimensional Polynomial Sequencebinomial coefficientspecial sequencehypercomplex Appell polynomialIn this paper we combine the knowledge of different structures of a special Appell multidimensional polynomial sequence with the problem of establishing combinatorial identities. The elements of this special polynomial sequence have values in a Clifford algebra, are homogeneous hypercomplex differentiable functions of different degrees and their coefficients properties can be used to stress interesting matrix and combinatorial relations.University of Waterloo2018-11-20T17:15:48Z2018-11-202018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10314/4510http://hdl.handle.net/10314/4510eng1530-7638Cação, IsabelMalonek, HelmuthFalcão, IreneTomaz, Graçainfo: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:RCAAP2024-01-14T02:58:29Zoai:bdigital.ipg.pt:10314/4510Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:43:31.003937Repositório 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 Combinatorial Identities Associated with a Multidimensional Polynomial Sequence
title Combinatorial Identities Associated with a Multidimensional Polynomial Sequence
spellingShingle Combinatorial Identities Associated with a Multidimensional Polynomial Sequence
Cação, Isabel
binomial coefficient
special sequence
hypercomplex Appell polynomial
title_short Combinatorial Identities Associated with a Multidimensional Polynomial Sequence
title_full Combinatorial Identities Associated with a Multidimensional Polynomial Sequence
title_fullStr Combinatorial Identities Associated with a Multidimensional Polynomial Sequence
title_full_unstemmed Combinatorial Identities Associated with a Multidimensional Polynomial Sequence
title_sort Combinatorial Identities Associated with a Multidimensional Polynomial Sequence
author Cação, Isabel
author_facet Cação, Isabel
Malonek, Helmuth
Falcão, Irene
Tomaz, Graça
author_role author
author2 Malonek, Helmuth
Falcão, Irene
Tomaz, Graça
author2_role author
author
author
dc.contributor.author.fl_str_mv Cação, Isabel
Malonek, Helmuth
Falcão, Irene
Tomaz, Graça
dc.subject.por.fl_str_mv binomial coefficient
special sequence
hypercomplex Appell polynomial
topic binomial coefficient
special sequence
hypercomplex Appell polynomial
description In this paper we combine the knowledge of different structures of a special Appell multidimensional polynomial sequence with the problem of establishing combinatorial identities. The elements of this special polynomial sequence have values in a Clifford algebra, are homogeneous hypercomplex differentiable functions of different degrees and their coefficients properties can be used to stress interesting matrix and combinatorial relations.
publishDate 2018
dc.date.none.fl_str_mv 2018-11-20T17:15:48Z
2018-11-20
2018-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10314/4510
http://hdl.handle.net/10314/4510
url http://hdl.handle.net/10314/4510
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1530-7638
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dc.publisher.none.fl_str_mv University of Waterloo
publisher.none.fl_str_mv University of Waterloo
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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