Summation Formulas on Harmonic Numbers and Five Central Binomial Coefficients

被引：0

作者：

Li, Chunli ^{[1
]}

Chu, Wenchang ^{[1
]}

机构：

[1] Zhoukou Normal Univ, Sch Math & Stat, Zhoukou 466001, Henan, Peoples R China

来源：

MATHEMATICAL NOTES | 2023年 / 114卷 / 5-6期

关键词：

Riemann zeta function; harmonic number; central binomial coefficient; IDENTITIES; SERIES;

D O I：

10.1134/S0001434623110627

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By applying the "coefficient extraction method" to hypergeometric series, we establish several remarkable infinite series identities about harmonic numbers and five binomial coefficients, including three conjectured by Z.-W. Sun.

引用

页码：1306 / 1313

页数：8

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