The partial r-Bell polynomials

2013/08/05 by Mihoubi, Miloud, Rahmani, mourad · 1 citation
#05A18 #11B73 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1308.0863

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.

Cited by

• Combinatorics of higher order degenerate r-DERANGED Bell Numbers

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