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Barnes' multiple Bernoulli and poly-Bernoulli mixed-type polynomials

2013/12/27 by D. S. Kim, Dae San Kim, Kim, D. S. +6
Mathematics · #11B68 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #math.NT #msc:11B68

paper · pdf · doi:10.48550/arxiv.1312.7171

19 pages

arxiv created 2013/12/27 · openalex publication_date 2013/12/27 · arxiv updated 2013/12/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider Barnes' multiple Bernoulli and poly-Bernoulli mixed-type polynomials. From the properties of Sheffer sequences of these polynomials arising from umbrral calculus, we derive new and interesting identities.

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