# datatable.math.gamma()¶

Euler Gamma function of x.

The gamma function is defined for all x except for the negative integers. For positive x it can be computed via the integral

$\Gamma(x) = \int_0^\infty t^{x-1}e^{-t}dt$

For negative x it can be computed as

$\Gamma(x) = \frac{\Gamma(x + k)}{x(x+1)\cdot...\cdot(x+k-1)}$

where $$k$$ is any integer such that $$x+k$$ is positive.

If x is a positive integer, then $$\Gamma(x) = (x - 1)!$$.