Mathematics – Combinatorics
Scientific paper
2009-09-24
Mathematics
Combinatorics
Scientific paper
The notion of generalized Bell numbers has appeared in several works but there is no 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 generalize the similar properties of the Bell numbers. Most of these results seem to be new. It turns out that in a paper of Whitehead these numbers appeared in a very different context. In addition, we introduce the so-called $r$-Bell polynomials.
No associations
LandOfFree
The $r$-Bell numbers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The $r$-Bell numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The $r$-Bell numbers will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-425115