arXiv:1702.06420 Abstract | arXiv Analytics

arXiv:1702.06420 [math.NT]Abstract References Reviews Resources

A closed formula for the generating function of p-Bernoulli numbers

Published 2017-02-20Version 1

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.

Categories: math.NT

Subjects: 11B68, 11B83

Keywords: generating function, p-bernoulli numbers, geometric polynomials, finite summation, harmonic numbers

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