Bell polynomials

Known as: Bell (disambiguation), Complete Bell polynomial, Bell polynomial 
In combinatorial mathematics, the Bell polynomials, named in honor of Eric Temple Bell, are used in the study of set partitions. They are related to… (More)
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2013
2013
A class of trilinear differential operators is introduced through a technique of assigning signs to derivatives and used to… (More)
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2011
2011
Touchard generalized the Bell polynomials in order to give some combinatorial interpretation on permutations. Chrysaphinou… (More)
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2010
2010
and we prove similar equations involving the Bernoulli numbers, the van der Pol numbers, and the numbers generated by the… (More)
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2009
2009
Let Bn,k and An = ∑n j=1 Bn,j with A0 = 1 be, respectively, the (n, k) th partial and the nth complete Bell polynomials with… (More)
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2009
2009
In this paper, we study exponential partial Bell polynomials and Sheffer sequences. Two new characterizations of Sheffer… (More)
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2008
2008
This paper concerns the study of the Bell polynomials and the binomial type sequences. We mainly establish some relations tied to… (More)
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2008
2008
In the present paper, we consider two kinds of statistics “number of usegments” and “number of internal u-segments” in Dyck paths… (More)
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2008
2008
Abstract. A k-generalized Dyck path of length n is a lattice path from (0, 0) to (n, 0) in the plane integer lattice Z × Z… (More)
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2006
2006
We develop an extension of the classical Bell polynomials introducing the Laguerre-type version of this well-known mathematical… (More)
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2000
2000
We present a new derivation of the asymptotic correction for bias in the estimate of information from a finite sample. The new… (More)
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