Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers

2015/10/20 by Komatsu, Takao, Liptai, Kalman, Mező, István · 2 citations
#05A18 #11B73 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1510.05799

Abstract

By using the associated and restricted Stirling numbers of the second kind, we give some generalizations of the poly-Bernoulli numbers. We also study their arithmetical and combinatorial properties. As an application, at the end of the paper we present a new infinite series representation of the Riemann zeta function via the Lambert W.

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