Symbols:Greek/Gamma/Euler-Mascheroni Constant

The Euler-Mascheroni Constant

$\gamma$

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

 $\displaystyle \gamma$ $:=$ $\displaystyle \lim_{n \mathop \to +\infty} \paren {\sum_{k \mathop = 1}^n \frac 1 k - \int_1^n \frac 1 x \rd x}$ $\displaystyle$ $=$ $\displaystyle \lim_{n \mathop \to +\infty} \paren {H_n - \ln n}$

where $H_n$ is the harmonic series and $\ln$ is the natural logarithm.

The $\LaTeX$ code for $\gamma$ is \gamma .