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• W2045928295 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 Faà 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." @default.
• W2045928295 created "2016-06-24" @default.
• W2045928295 creator A5048817412 @default.
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• W2045928295 date "2014-01-01" @default.
• W2045928295 modified "2023-09-24" @default.
• W2045928295 title "Zeon Algebra and Combinatorial Identities" @default.
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• W2045928295 doi "https://doi.org/10.1137/130906684" @default.
• W2045928295 hasPublicationYear "2014" @default.
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