Associated Lah numbers and r-Stirling numbers
Combinatorics
2016-11-02 v2
Abstract
We introduce the associated Lah numbers. Some recurrence relations and convolution identities are established. An extension of the associated Stirling and Lah numbers to the r-Stirling and r-Lah numbers are also given. For all these sequences we give combinatorial interpretation, generating functions, recurrence relations, convolution identities. In the sequel, we develop a section on nested sums related to binomial coefficient.
Cite
@article{arxiv.1404.5573,
title = {Associated Lah numbers and r-Stirling numbers},
author = {Hacene Belbachir and Imad Eddine Bousbaa},
journal= {arXiv preprint arXiv:1404.5573},
year = {2016}
}