The (l,r)-Stirling numbers: a combinatorial approach

2021/01/26 by Hacène Belbachir, Belbachir, Hacène, Yahia Djemmada +1 · 1 citation
Chemistry · Mathematics · #05A05 #05A18 #05E05 #11B73 #11B83 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Molecular spectroscopy and chirality #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2101.11039

openalex publication_date 2021/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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