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Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers

2016/04/01 by Takao Komatsu, Kálmán Liptai, István Mező · 1 citation
Engineering · Physics and Astronomy · #Sports Dynamics and Biomechanics #Experimental and Theoretical Physics Studies

paper · doi:10.5486/pmd.2016.7361

openalex publication_date 2016/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11

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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