Relating certain weighted Fibonacci series to Bernoulli polynomials via the polylogarithm function
Number Theory
2020-09-29 v2
Abstract
We show that certain weighted Fibonacci and Lucas series can always be expressed as linear combinations of polylogarithms. In some special cases we evaluate the series in terms of Bernoulli polynomials, making use of the connection between these polynomials and the polylogarithm.
Cite
@article{arxiv.2009.11703,
title = {Relating certain weighted Fibonacci series to Bernoulli polynomials via the polylogarithm function},
author = {Kunle Adegoke},
journal= {arXiv preprint arXiv:2009.11703},
year = {2020}
}
Comments
14 pages, no figures or tables