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λ-analogues of r-Stirling numbers of the first kind

2018/05/20 by Taekyun Kim, Kim, Taekyun, Dae San Kim +2
Mathematics · #11B73 #11B83 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B73 #msc:11B83

paper · pdf · doi:10.48550/arxiv.1805.07787

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arxiv created 2018/05/20 · openalex publication_date 2018/05/20 · arxiv updated 2018/05/22 · openalex created_date 2018/06/01 · openalex updated_date 2026/07/28

Abstract

In this paper, we study λ-analogues of the r-Stirling numbers of the first kind which have close connections with the r-Stirling numbers of the first kind and λ-Stirling numbers of the first kind. Specifically, we give the recurrence relations for these numbers and show their connections with the λ-Stirling numbers of the first kind and higher-order Daehee polynomials.

Citations

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