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http://dx.doi.org/10.7468/jksmeb.2022.29.1.31

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

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

Publication Information

The Pure and Applied Mathematics / v.29, no.1, 2022 , pp. 31-35 More about this Journal

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;

Citations & Related Records

Reference

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