The partial r-Bell polynomials
Combinatorics
2013-08-06 v1
Abstract
In this paper, we show that the r-Stirling numbers of both kinds, the r-Whitney numbers of both kinds, the r-Lah numbers and the r-Whitney-Lah numbers form particular cases of family of polynomials forming a generalization of the partial Bell polynomials. We deduce the generating functions of several restrictions of these numbers. In addition, a new combinatorial interpretations is presented for the r-Whitney numbers and the r-Whitney-Lah numbers.
Cite
@article{arxiv.1308.0863,
title = {The partial r-Bell polynomials},
author = {Miloud Mihoubi and mourad Rahmani},
journal= {arXiv preprint arXiv:1308.0863},
year = {2013}
}
Comments
14 pages