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arXiv · 2505.09632

Explicit Identities and new results for Infinite Series associated with the Ratio of Central Binomial Coefficients

Yao Mawugna Dzokotoe·Segun Olofin Akerele
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Abstract

We investigate some classes of infinite series involving central binomial coefficients, particularly focusing on those arising from ratios such as $\binom{2n}{n}\binom{4n}{2n}^{-1}$,$\binom{4n}{2n}\binom{2n}{n}^{-1}$ and related expressions. We derive several new explicit identities and closed-form evaluations, building on and refining previous results by Bhandari (2022) and Adegoke et al. (2022).

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Yao Mawugna Dzokotoe, Segun Olofin Akerele. 2025-05-02. Explicit Identities and new results for Infinite Series associated with the Ratio of Central Binomial Coefficients. https://arxiv.org/abs/2505.09632

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