Two problems of binomial sums involving harmonic numbers

Advances in Difference Equations

Nadia N. Li¹  Wenchang Chu² 

[1] School of Mathematics and Statistics, Zhoukou Normal University, Henan, China;School of Mathematics and Statistics, Zhoukou Normal University, Henan, China;Department of Mathematics and Physics, University of Salento, Lecce, Italy;

关键词: Binomial coefficient;    Harmonic number;    Signless Stirling number;    Symmetric function;    Partial fraction decomposition;    05A10;    05A19;    11B65;   

DOI  :  10.1186/s13662-021-03383-z

来源: Springer

【 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.

【 授权许可】

CC BY