The r-Bell numbers

By I. Mező. 2009

110 citations recorded by the source corpus.

The notion of generalized Bell numbers was appeared in several works but there is no a systematic treatise on this topic. In this paper we fill this gap. We discuss the most important combinatorial, algebraic and analytic properties of these numbers which in any cases generalize the similar properties of the Bell numbers. Most of these properties seems to be new. It turns out that in a paper of Whitehead these numbers appeared in a very dierent context. In addition, we introduce the so-called

Subfields: Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/f38c18fa663a4e9eebdd2b7f8932b554ed715dfb

Citations in the corpus

• On the generalization of the Lambert $W$ function (2017, unknown): “The nth r-Bell number Bn,r gives that in how many ways can we partition n elements into nonempty subsets such that the first r elements go to separated blocks [20].”