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arXiv · 2607.02639

A combinatorial sum with two complex parameters

Michel Bataille·Robert Frontczak
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Abstract

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.

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Michel Bataille, Robert Frontczak. 2026-07-02. A combinatorial sum with two complex parameters. https://arxiv.org/abs/2607.02639

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