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Campo Dublin Core | Valor | Idioma |
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dc.contributor.author | Francisco Neto, Antônio | - |
dc.contributor.author | Anjos, Petrus Henrique Ribeiro dos | - |
dc.date.accessioned | 2017-09-14T17:28:38Z | - |
dc.date.available | 2017-09-14T17:28:38Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | FRANCISCO NETO, A.; ANJOS, P. H. R. dos. Zeon algebra and combinatorial identities. SIAM Review, v. 56, p. 353-370, 2014. Disponível em: <https://epubs.siam.org/doi/abs/10.1137/130906684?mobileUi=0>. Acesso em: 20 jul. 2017. | pt_BR |
dc.identifier.issn | 1095-7200 | - |
dc.identifier.uri | http://www.repositorio.ufop.br/handle/123456789/8730 | - |
dc.description.abstract | We show that the ordinary derivative of a real analytic function of one variable can be realized as a Grassmann–Berezin-type integration over the Zeon algebra, the Z-integral. As a by-product of this representation, we give new proofs of the Fa`a di Bruno formula and Spivey’s identity [M. Z. Spivey, J. Integer Seq., 11 (2008), 08.2.5], and we recover the representation of the Stirling numbers of the second kind and the Bell numbers of Staples and Schott [European J. Combin., 29 (2008), pp. 1133–1138]. The approach described here is suitable to accommodate new Z-integral representations including Stirling numbers of the first kind, central Delannoy, Euler, Fibonacci, and Genocchi numbers, and the special polynomials of Bell, generalized Bell, Hermite, and Laguerre. | pt_BR |
dc.language.iso | pt_BR | pt_BR |
dc.rights | restrito | pt_BR |
dc.subject | Cauchy integral | pt_BR |
dc.subject | Grassmann–Berezin integration | pt_BR |
dc.subject | Faà di Bruno formula | pt_BR |
dc.subject | Spivey identity | pt_BR |
dc.subject | Special polynomials | pt_BR |
dc.title | Zeon algebra and combinatorial identities. | pt_BR |
dc.type | Artigo publicado em periodico | pt_BR |
dc.identifier.uri2 | https://epubs.siam.org/doi/abs/10.1137/130906684?mobileUi=0 | pt_BR |
dc.identifier.doi | https://doi.org/10.1137/130906684 | - |
Aparece nas coleções: | DEPRO - Artigos publicados em periódicos |
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ARTIGO_ZeonAlgebraCombinatorial.pdf Restricted Access | 203,78 kB | Adobe PDF | Visualizar/Abrir |
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