A generalization of Euler’s constant

摘要

The purpose of this paper is to evaluate the limit γ(a) of the sequence $left(frac{1}{a}+frac{1}{a+1}+cdots+frac{1}{a+n-1}-lnfrac{a+n-1}{a}right)_{ninmathbb{N}}$ , where a ∈ (0, + ∞ ).