The Dual of Spivey’s Bell Number Identity from Zeon Algebra
Antônio Francisco Neto
DEPRO, Escola de Minas
Campus Morro do Cruzeiro, UFOP
35400-000 Ouro Preto MG
In this paper, we give a new short proof of the dual of Spivey's Bell
number identity due to Mező. Our approach follows from basic
manipulations involving a fundamental identity representing factorials
in the Zeon algebra. This work, along with a previous one due to the
author and dos Anjos, shows that Spivey's and Mező's identities have at
their root a common underlying algebraic origin.
Full version: pdf,
(Concerned with sequences
Received August 1 2016; revised version received November 26 2016.
Published in Journal of Integer Sequences, December 27 2016.
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