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

被引：3
|
作者：
Li, Yue-Wu [1 ]
Qi, Feng [2 ,3 ]
机构：
[1] Hulunbuir Univ, Sch Math & Stat, Hulunbuir 021008, Inner Mongolia, Peoples R China
[2] Tiangong Univ, Sch Math Sci, Tianjin 300160, Peoples R China
[3] Henan Polytech Univ, Inst Math, Jiaozuo 454010, Henan, Peoples R China
来源：
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2022年 / 29卷 / 01期
关键词：
Abel's theorem; Abel's limit theorem; sum; alternating series; central binomial number; arcsine; series expansion; binomial expansion; proof;
D O I：
10.7468/jksmeb.2022.29.1.31
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：31 / 35
页数：5
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