Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers

  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},
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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  • Mathematics, Computer Science
  • Period. Math. Hung.
  • 2017
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