Double sums involving binomial coefficients and special numbers
Combinatorics
2025-10-31 v1
Abstract
In this paper, we find an elementary approach for double sums where the inner sum is binomial but incomplete. We apply our core identity and its relatives to double sums involving famous numbers such as harmonic numbers, Fibonacci numbers, Stirling numbers and -Stirling numbers of the second kind.
Cite
@article{arxiv.2510.25792,
title = {Double sums involving binomial coefficients and special numbers},
author = {Kunle Adegoke and Robert Frontczak and Karol Gryszka},
journal= {arXiv preprint arXiv:2510.25792},
year = {2025}
}
Comments
33 pages, no figures or tables