A symbolic approach to the poly-Bernoulli numbers
Number Theory
2019-03-14 v1
Abstract
We present a symbolic representation for the poly-Bernoulli numbers. This allows us to prove several new iterated integral representations for the poly-Bernoulli numbers, including an integral transform of the Bernoulli-Barnes numbers. We also deduce some new recurrences for the poly-Bernoulli numbers. Finally, we use these results to present a new iterated integral representation for the Arakawa-Kaneko zeta function, including a nonlinear integral transform of the Barnes zeta function.
Keywords
Cite
@article{arxiv.1903.05270,
title = {A symbolic approach to the poly-Bernoulli numbers},
author = {T. Wakhare and C. Vignat},
journal= {arXiv preprint arXiv:1903.05270},
year = {2019}
}
Comments
14 pages, comments are welcome