Harmonic Sums via Euler's Transform: Complementing the Approach of Boyadzhiev

被引:0
作者
Frontczak, Robert [1 ]
机构
[1] Landesbank Baden Wurttemberg LBBW, Hauptbahnhof 2, D-70173 Stuttgart, Germany
关键词
harmonic number; binomial sum; Fibonacci number; generating function; IDENTITIES; FORMULAS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a new expression for binomial sums with harmonic numbers. Our derivation is based on an alternative argument for the Euler transform of these sums. The findings complement a result of Boyadzhiev. To demonstrate the usefulness of our alternative approach, several examples are discussed. We rediscover some known identities for harmonic numbers and present some new ones. In particular, we derive some new identities involving harmonic numbers, and Fibonacci and Lucas numbers.
引用
收藏
页数:9
相关论文
共 13 条