Geodesic
The dual of Spivey's Bell number identity from Zeon algebra
Journal of integer sequences, Tome 20 (2017) no. 2
Zbl
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.
Classification : 11B73, 33B10, 05A15, 05A19
Keywords: zeon algebra, Berezin integration, Stirling number of the first kind, Pochhammer symbol, binomial coefficient, generating function 
Neto,  Antônio Francisco. The dual of Spivey's Bell number identity from Zeon algebra. Journal of integer sequences, Tome 20 (2017) no. 2. http://geodesic.mathdoc.fr/item/JIS_2017__20_2_a4/
@article{JIS_2017__20_2_a4,
     author = {Neto,  Ant\^onio Francisco},
     title = {The dual of {Spivey's} {Bell} number identity from {Zeon} algebra},
     journal = {Journal of integer sequences},
     year = {2017},
     volume = {20},
     number = {2},
     zbl = {1420.11051},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_2_a4/}
}
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