Extensions of Spivey's Bell number formula
The electronic journal of combinatorics, Tome 19 (2012) no. 2
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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

Aimin Xu  1

1 Zhejiang Wanli University
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     author = {Aimin Xu},
     title = {Extensions of {Spivey's} {Bell} number formula},
     journal = {The electronic journal of combinatorics},
     year = {2012},
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     doi = {10.37236/2146},
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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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