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Bell polynomials
Known as:
Bell (disambiguation)
, Complete Bell polynomial
, Bell polynomial
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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…
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Related topics
Related topics
12 relations
Binomial type
Convolution
Faddeev–LeVerrier algorithm
Fractional Poisson process
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
Another Identity for Complete Bell Polynomials Based on Ramanujan's Congruences
Ho-Hon Leung
Journal of Integer Sequences
2018
Corpus ID: 53620774
Let $p(n)$ be the number of partition of a positive integer $n$. We derive a new identity for complete Bell polynomials based on…
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2017
2017
Integer Sequences Connected with Extensions of the Bell Polynomials
Pierpaolo Natalini
,
P. Ricci
Journal of Integer Sequences
2017
Corpus ID: 40877852
The Encyclopedia of Integer Sequences includes some sequences that are connected with the Bell numbers and that have a particular…
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2016
2016
Some Results Associated with Adomian and Bell Polynomials
K. K. Kataria
,
P. Vellaisamy
2016
Corpus ID: 125227190
In this paper, we obtain some recurrence relationships among the partition vectors of the partial exponential Bell polynomials…
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2015
2015
A note on degenerate Bell numbers and polynomials
Taekyun Kim
,
D. Kim
2015
Corpus ID: 117708151
Recently, several authors have studied the degenerate Bernoulli and Euler polynomials and given some intersting identities of…
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2014
2014
On Bilinear Equations, Bell Polynomials and Linear Superposition Principle
M. Adamu
,
E. Suleiman
2014
Corpus ID: 116860542
A class of bilinear differential operators is discussed. Some bilinear differential equations which generalized Hirota bilinear…
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2012
2012
The Inverse of Power Series and the Partial Bell Polynomials
M. Mihoubi
,
Rachida Mahdid
2012
Corpus ID: 15383640
Using the Bell polynomials, in this paper we give the explicit compositional inverses and/or the reciprocals of some power series…
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2009
2009
Some Congruences for the Partial Bell Polynomials
M. Mihoubi
2009
Corpus ID: 17721674
Let Bn,k and An = P n=1 Bn,j with A0 = 1 be, respectively, the (n, k) th partial and the n th complete Bell polynomials with…
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2008
2008
The role of binomial type sequences in determination identities for Bell polynomials
M. Mihoubi
Ars Comb.
2008
Corpus ID: 18139555
Our paper deals about identities involving Bell polynomials. Some identities on Bell polynomials derived using generating…
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1994
1994
On power series, Bell polynomials, Hardy-Ramanujan-Rademacher problem and its statistical applications
V. G. Voinov
,
M. Nikulin
Kybernetika (Praha)
1994
Corpus ID: 40411263
A possibly unknown approach to the problem of finding the common term of a power series is considered. A direct formula for…
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1994
1994
Polynomial maps with applications to combinatorics and probability theory
D. Port
1994
Corpus ID: 16460623
2 Acknowledgments 3 Introduction 7 Chapter I. Exponential Bell polynomials 11 1. Properties 12 2. Moments and cumulants 14 3…
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