Definition:Euler-Mascheroni Constant

Definition
The Euler-Mascheroni constant $\gamma$ is the real number that is defined as:

where $\sequence {H_n}$ are the harmonic numbers and $\ln$ is the natural logarithm.

Also see

 * Existence of Euler-Mascheroni Constant where its existence is demonstrated.


 * Euler's Integral Theorem, which proves that $H_n = \ln n + \gamma + \map \OO {\dfrac 1 n}$