Series associated with a forgotten identity of N\"orlund
General Mathematics
2024-10-31 v1
Abstract
We apply a seemingly forgotten series expression of N\"orlund for the psi function to express infinite series involving inverse factorials in closed form. Many of such series contain products of Catalan numbers and (odd) harmonic numbers. We also prove some new series for .
Keywords
Cite
@article{arxiv.2410.22343,
title = {Series associated with a forgotten identity of N\"orlund},
author = {Kunle Adegoke and Robert Frontczak},
journal= {arXiv preprint arXiv:2410.22343},
year = {2024}
}