New modular symmetric function and its applications: Modular s-Stirling numbers

2021/10/20 by Bazeniar Abdelghafour, Moussa Ahmia, Abdelghafour, Bazeniar +5
Mathematics · #05A15 #05A19 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2110.10591

openalex publication_date 2021/10/20 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider a generalization of the Stirling number sequence of both kinds by using a specialization of a new family of symmetric functions. We give combinatorial interpretations for this symmetric functions by means of weighted lattice path and tilings. We also present some new convolutions involving the complete and elementary symmetric functions. Additionally, we introduce different families of set partitions to give combinatorial interpretations for the modular s-Stirling numbers.

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