摘要
调和级数∑∞n=11n是发散的,而极限nl→im∞(∑∞k=11k-lnn)却是收敛的,其极限值称为欧拉常数γ.本文给出了欧拉常数γ的几个有趣的级数表示和积分表示.
The harmonic seriesis ∑n=1^∞ 1/2 is divergent, but the limit lim n→ω （∑k=1^∞ 1/k-1nn） is convergent and thelimit is called Euler＇s Constant γ. In this paper, we obtain several expressions of Euler＇s Constant γ, which are interesting.
出处
《数学理论与应用》
2005年第4期116-117,共2页
Mathematical Theory and Applications
关键词
欧拉常数
极限值
定积分
可去间断点
调和级数
Euler＇s constant
Limit Series
Definite integral
Removable discontinuity
Harmonic series
