Extensions of Spivey's Bell number formula
The electronic journal of combinatorics, Tome 19 (2012) no. 2
We establish an extension of Spivey's Bell number formula and its associated Bell polynomial extension by using Hsu-Shiue's generalized Stirling numbers. By means of the extension of Spivey's Bell number formula we also extend Gould-Quaintance's new Bell number formulas.
DOI :
10.37236/2146
Classification :
11B73, 11B83, 05A15
Mots-clés : Stirling number, generating function, Bell number
Mots-clés : Stirling number, generating function, Bell number
Affiliations des auteurs :
Aimin Xu  1
@article{10_37236_2146,
author = {Aimin Xu},
title = {Extensions of {Spivey's} {Bell} number formula},
journal = {The electronic journal of combinatorics},
year = {2012},
volume = {19},
number = {2},
doi = {10.37236/2146},
zbl = {1288.11027},
url = {http://geodesic.mathdoc.fr/articles/10.37236/2146/}
}
Aimin Xu. Extensions of Spivey's Bell number formula. The electronic journal of combinatorics, Tome 19 (2012) no. 2. doi: 10.37236/2146
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