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arXiv · 2510.25792

Double sums involving binomial coefficients and special numbers

Kunle Adegoke·Robert Frontczak·Karol Gryszka
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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 $r$-Stirling numbers of the second kind.

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Kunle Adegoke, Robert Frontczak, Karol Gryszka. 2025-10-28. Double sums involving binomial coefficients and special numbers. https://arxiv.org/abs/2510.25792

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