The $(l,r)$-Stirling numbers: a combinatorial approach
Combinatorics
2021-01-28 v1 Number Theory
Abstract
This work deals with a new generalization of -Stirling numbers using -tuple of permutations and partitions called -Stirling numbers of both kinds. We study various properties of these numbers using combinatorial interpretations and symmetric functions. Also, we give a limit representation of the multiple zeta function using -Stirling of the first kind.
Cite
@article{arxiv.2101.11039,
title = {The $(l,r)$-Stirling numbers: a combinatorial approach},
author = {Hacène Belbachir and Yahia Djemmada},
journal= {arXiv preprint arXiv:2101.11039},
year = {2021}
}