We investigate some classes of infinite series involving central binomial coefficients, particularly focusing on those arising from ratios such as 2nn4n2n^-1, 4n2n2nn^-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).
Dzokotoe et al. (Fri,) studied this question.