Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers
Number Theory
2015-10-26 v2
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 .
Cite
@article{arxiv.1510.05799,
title = {Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers},
author = {Takao Komatsu and Kalman Liptai and István Mező},
journal= {arXiv preprint arXiv:1510.05799},
year = {2015}
}