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Dergiler / 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
Sayfa
57–64
Yayın Tarihi
2021-03-31
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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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Amaç & Hipotez: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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Temel Bulgular & Veri: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.
💡
Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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