A sum of an alternating series involving central binomial numbers and its three proofs

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2022, v.29 no.1, pp.31-35

https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.1.31

Li, Yue-Wu (School of Mathematics and Statistics, Hulunbuir University)
Qi, Feng (School of Mathematical Sciences, Tiangong University)

Li, Yue-Wu, & Qi, Feng. (2022). A SUM OF AN ALTERNATING SERIES INVOLVING CENTRAL BINOMIAL NUMBERS AND ITS THREE PROOFS. 한국수학교육학회지시리즈B:순수및응용수학, 29(1), 31-35, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.1.31

복사

Abstract

In the note, by virtue of Abel's theorem and Abel's limit theorem in the theory of power series, the author provides three proofs for a sum of an alternating series involving central binomial numbers.

keywords: Abel's theorem, Abel's limit theorem, sum, alternating series, central binomial number, arcsine, series expansion, binomial expansion, proof

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논문 상세

Vol.29 No.1

A SUM OF AN ALTERNATING SERIES INVOLVING CENTRAL BINOMIAL NUMBERS AND ITS THREE PROOFS

A sum of an alternating series involving central binomial numbers and its three proofs

Abstract

한국수학교육학회지시리즈B:순수및응용수학