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arXiv · 2412.00024

Evaluation of harmonic number series involving the binomial coefficient $C(3n,n)$ in the denominator by integration

Kunle Adegoke·Robert Frontczak
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Abstract

Two classes of infinite series involving harmonic numbers and the binomial coefficient $C(3n,n)$ are evaluated in closed form using integrals. Several remarkable integral values and difficult series identities are stated as special cases of the main results.

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Kunle Adegoke, Robert Frontczak. 2024-11-17. Evaluation of harmonic number series involving the binomial coefficient $C(3n,n)$ in the denominator by integration. https://arxiv.org/abs/2412.00024

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