Zeon algebra and combinatorial identities.

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorFrancisco Neto, Antônio-
Autor(es): dc.creatorAnjos, Petrus Henrique Ribeiro dos-
Data de aceite: dc.date.accessioned2025-08-21T15:23:44Z-
Data de disponibilização: dc.date.available2025-08-21T15:23:44Z-
Data de envio: dc.date.issued2017-09-14-
Data de envio: dc.date.issued2017-09-14-
Data de envio: dc.date.issued2014-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/handle/123456789/8730-
Fonte completa do material: dc.identifierhttps://epubs.siam.org/doi/abs/10.1137/130906684?mobileUi=0-
Fonte completa do material: dc.identifierhttps://doi.org/10.1137/130906684-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1013160-
Descrição: dc.descriptionWe 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.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languagept_BR-
Direitos: dc.rightsrestrito-
Palavras-chave: dc.subjectCauchy integral-
Palavras-chave: dc.subjectGrassmann–Berezin integration-
Palavras-chave: dc.subjectFaà di Bruno formula-
Palavras-chave: dc.subjectSpivey identity-
Palavras-chave: dc.subjectSpecial polynomials-
Título: dc.titleZeon algebra and combinatorial identities.-
Aparece nas coleções:Repositório Institucional - UFOP

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