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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
 

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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

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)

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

한국수학교육학회지시리즈B:순수및응용수학