# Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers

```@article{Komatsu2015IncompletePN,
title={Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers},
author={T. Komatsu and K{\'a}lm{\'a}n Liptai and Istv'an MezHo},
journal={arXiv: Number Theory},
year={2015}
}```
• Published 2015
• Mathematics
• arXiv: Number Theory
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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