Generalized Bell polynomials and the combinatorics of Poisson central moments.
Privault, Nicolas (2011)
The Electronic Journal of Combinatorics [electronic only]
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Privault, Nicolas (2011)
The Electronic Journal of Combinatorics [electronic only]
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Andrews, George E., Paule, Peter (1999)
Séminaire Lotharingien de Combinatoire [electronic only]
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Mező, István (2011)
Journal of Integer Sequences [electronic only]
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Bousquet-Mélou, Mireille, Xin, Guoce (2005)
Séminaire Lotharingien de Combinatoire [electronic only]
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Prodinger, Helmut (2008)
Journal of Integer Sequences [electronic only]
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Canfield, Rodney E. (2001)
The Electronic Journal of Combinatorics [electronic only]
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Barry, Paul (2009)
Journal of Integer Sequences [electronic only]
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Mansour, Toufik, Schork, Matthias, Shattuck, Mark (2011)
The Electronic Journal of Combinatorics [electronic only]
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Franssens, Ghislain R. (2006)
Journal of Integer Sequences [electronic only]
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Zhao, Feng-Zhen (2008)
Journal of Integer Sequences [electronic only]
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Griffiths, Martin, Mező, István (2010)
Journal of Integer Sequences [electronic only]
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David Wang (2014)
Open Mathematics
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Generalizing Reiner’s notion of set partitions of type B n, we define colored B n-partitions by coloring the elements in and not in the zero-block respectively. Considering the generating function of colored B n-partitions, we get the exact formulas for the expectation and variance of the number of non-zero-blocks in a random colored B n-partition. We find an asymptotic expression of the total number of colored B n-partitions up to an error of O(n −1/2log7/2 n], and prove that the centralized...
Luo, Qiu-Ming, Guo, Bai-Ni, Qi, Feng, Debnath, Lokenath (2003)
International Journal of Mathematics and Mathematical Sciences
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