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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.29 No.1

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Qi, Feng
Li,, Y. , & Qi,, F. (2022). A sum of an alternating series involving central binomial numbers and its three proofs. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 29(1), 31-35, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.1.31

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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