Further Apery-Like Series for Riemann Zeta Function

被引：5
|
作者：
Chu, Wenchang [1 ,2 ]
机构：
[1] Zhoukou Normal Univ, Sch Math & Stat, Zhoukou 466001, Peoples R China
[2] Univ Salento, Dept Math & Phys, I-73100 Lecce, Italy
来源：
MATHEMATICAL NOTES | 2021年 / 109卷 / 1-2期
关键词：
gamma function; Riemann zeta function; hypergeometric series; harmonic number; binomial coefficient; Bell polynomial; NUMBER SUMMATION FORMULAS; HYPERGEOMETRIC-SERIES; INFINITE SERIES;
D O I：
10.1134/S0001434621010168
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By means of two transformation formulas of classical hypergeometric series, several Apery-like series involving harmonic numbers of higher order are derived for the Riemann zeta function, including a few identities conjectured by Sun (2015).
引用
收藏
页码：136 / 146
页数：11
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