SERIES WITH HARMONIC-LIKE NUMBERS AND SQUARED BINOMIAL COEFFICIENTS

被引：8

作者：

Wang, Xiaoyuan ^{[1
]}

Chu, Wenchang ^{[2
]}

机构：

[1] Dalian Jiaotong Univ, Sch Sci, Dalian, Peoples R China

[2] Univ Salento, Dept Math & Phys, Lecce, Italy

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2022年 / 52卷 / 05期

关键词：

harmonic numbers; central binomial coefficient; hypergeometric series; Gauss summation theorem; the Gamma-function; Ramanujan-like series; HYPERGEOMETRIC APPROACH; FORMULAS;

D O I：

10.1216/rmj.2022.52.1849

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By reformulating the Gauss summation theorem with a free variable x so that both sides of the equality can be expanded into Maclaurin series, we evaluate, in closed form, many different infinite series containing harmonic-like numbers and squared central binomial coefficients.

引用

页码：1849 / 1866

页数：18

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