A closed formula for the generating function of p-Bernoulli numbers
Number Theory
2019-08-01 v1
Abstract
In this paper, using geometric polynomials, we obtain a generating function of p-Bernoulli numbers. As a consequences this generating function, we derive closed formulas for the finite summation of Bernoulli and harmonic numbers involving Stirling numbers of the second kind.
Cite
@article{arxiv.1702.06420,
title = {A closed formula for the generating function of p-Bernoulli numbers},
author = {Levent Kargın and Mourad Rahmani},
journal= {arXiv preprint arXiv:1702.06420},
year = {2019}
}