# Factorial of a negative number

## Main Question or Discussion Point

Is it possible to find the factorial of a negative real number ? If possible, then what is its practical application ?

The generalization of the factorial is the gamma function. For various reasons there's an offset of one: $\Gamma(n) = (n-1)!$. The gamma function is defined for complex numbers as well as real numbers. The only exception are non-positive real integers. The gamma function "blows up" at 0, -1, -2, etc.