Explicit Identities and new results for Infinite Series associated with the Ratio of Central Binomial Coefficients
Yao Mawugna Dzokotoe, Segun Olofin Akerele
公開日: 2025/5/2
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).