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Journals / Results in Nonlinear Analysis / 2026 / Cilt: 4 Sayı: 1

Several identities containing central binomial coefficients and derived from series expansions of powers of the arcsine function

Feng Qi(Tianjin Polytechnic University)0000-0001-6239-2968
Chao-ping Chen(Henan Polytechnic University)
Dongkyu Lım(Andong National University)0000-0002-0928-8480
Pages
57–64
Publication Date
2021-03-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In the paper, with the aid of the series expansions of the square or cubic of the arcsine function, the authors establish several possibly new combinatorial identities containing the ratio of two central binomial coefficients which are related to the Catalan numbers in combinatorial number theory.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the paper, with the aid of the series expansions of the square or cubic of the arcsine function, the authors establish several possibly new combinatorial identities containing the ratio of two central binomial coefficients which are related to the Catalan numbers in combinatorial number theory.
📊
Key Findings & Data:In the paper, with the aid of the series expansions of the square or cubic of the arcsine function, the authors establish several possibly new combinatorial identities containing the ratio of two central binomial coefficients which are related to the Catalan numbers in combinatorial number theory.
💡
Conclusion & Impact:In the paper, with the aid of the series expansions of the square or cubic of the arcsine function, the authors establish several possibly new combinatorial identities containing the ratio of two central binomial coefficients which are related to the Catalan numbers in combinatorial number theory.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:identity · product · ratio

Abstract

In the paper, with the aid of the series expansions of the square or cubic of the arcsine function, the authors establish several possibly new combinatorial identities containing the ratio of two central binomial coefficients which are related to the Catalan numbers in combinatorial number theory.

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Cite This Article

Qi, F., Chen, C., Lım, D. (2021). Several identities containing central binomial coefficients and derived from series expansions of powers of the arcsine function. Results in Nonlinear Analysis, Cilt: 4 Sayı: 1, 57–64. https://doi.org/10.53006/rna.867047

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