# Definition:Error Function

## Definition

The error function is the following improper integral, considered as a real function $\erf : \R \to \R$:

$\map {\erf} x = \displaystyle \dfrac 2 {\sqrt \pi} \int_0^x \map \exp {-t^2} \rd t$

where $\exp$ is the real exponential function.

## Also see

• Results about the error function can be found here.