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…

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.

2019

In the paper, by methods and techniques in combinatorial analysis and the theory of special functions, the authors discuss two…

2018

Let $p(n)$ be the number of partition of a positive integer $n$. We derive a new identity for complete Bell polynomials based on…

2017

In the paper, the authors present unified generalizations for the Bell numbers and polynomials, establish explicit formulas and…

2016

Abstract: The degenerate Bell numbers and polynomials, recently introduced by Kim and Kim, turned out to be very useful for…

2016

In this paper, we obtain some recurrence relationships among the partition vectors of the partial exponential Bell polynomials…

2014

Binary Bell Polynomials play an important role in the characterization of bilinear equation. The bilinear form, bilinear B…

2012

Using the Bell polynomials, in this paper we give the explicit compositional inverses and/or the reciprocals of some power series…

2009

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…

2008

Our paper deals about identities involving Bell polynomials. Some identities on Bell polynomials derived using generating…

1994

A possibly unknown approach to the problem of finding the common term of a power series is considered. A direct formula for…