What type of study is this?

This is a Quantitative Study study.

October 16, 2025Open Access

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

Key Points

New closed-form evaluations for infinite series linked to central binomial coefficients were derived.
The investigation refines previous results, showcasing explicit identities for specific ratios of coefficients.
Focus was on the classes of series derived from ratios like $inom{2n}{n}inom{4n}{2n}^{-1}$ and related forms.
Findings build upon earlier work by Bhandari and Adegoke, indicating a progression in understanding these coefficients.

Abstract

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).

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Cite this study

Dzokotoe et al. (Fri,) studied this question.

synapsesocial.com/papers/68f147cc724575985c3fd0f6 — DOI: https://doi.org/10.48550/arxiv.2505.09632

Authors

Yao Mawugna Dzokotoe

Segun Olofin Akerele

Actions

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

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

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Cite this study

Authors

Actions

References and Citations

Citation Network

Connected Papers

Discussion