The -Stirling numbers: a combinatorial approach
H Belbachir, Y Djemmada - arXiv preprint arXiv:2101.11039, 2021 - arxiv.org
arXiv preprint arXiv:2101.11039, 2021•arxiv.org
This work deals with a new generalization of $ r $-Stirling numbers using $ l $-tuple of
permutations and partitions called $(l, r) $-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 $(l, r) $-Stirling of the
first kind.
permutations and partitions called $(l, r) $-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 $(l, r) $-Stirling of the
first kind.
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.
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