A combinatorial sum with two complex parameters
综合数学
2026-07-02 v1
摘要
This article deals with combinatorial identities with two complex parameters. Starting with a fundamental lemma, we derive various polynomial identities, combinatorial sums and related results. For example, we generalize a polynomial identity of Carlitz involving central binomial coefficients and present a second identity of the same nature. Special cases of our findings lead to sums involving Catalan numbers, harmonic numbers, and Fibonacci numbers.
引用
@article{arxiv.2607.02639,
title = {A combinatorial sum with two complex parameters},
author = {Michel Bataille and Robert Frontczak},
journal= {arXiv preprint arXiv:2607.02639},
year = {2026}
}