error function

Error function

In mathematics, the error function (also called the Gauss error function), often
denoted by erf, is a complex function of a complex variable defined as:

erf z = 2/sqrt(pi)I(e^(-t^2)dt):0-z

Two closely related functions are:

Complementary error function (erfc)

erfc z = 1 - erf z, and

Imaginary error function (erfi)

erfi z = -i erf iz