Two problems of binomial sums involving harmonic numbers

被引：0

作者：

Li, Nadia N. ^{[1
]}

Chu, Wenchang ^{[1
,2
]}

机构：

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

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

基金：

美国国家科学基金会;

关键词：

Binomial coefficient; Harmonic number; Signless Stirling number; Symmetric function; Partial fraction decomposition;

D O I：

10.1186/s13662-021-03383-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two open problems recently proposed by Xi and Luo (Adv. Differ. Equ. 2021:38, 2021) are resolved by evaluating explicitly three binomial sums involving harmonic numbers, that are realized mainly by utilizing the generating function method and symmetric functions.

引用

页数：10

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