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

页码：31 / 35

页数：5