scipy.special.erf(z) = <ufunc 'erf'>

Returns the error function of complex argument.

It is defined as 2/sqrt(pi)*integral(exp(-t**2), t=0..z).

Parameters :

x : ndarray

Input array.

Returns :

res : ndarray

The values of the error function at the given points x.

See also

erfc, erfinv, erfcinv


The cumulative of the unit normal distribution is given by Phi(z) = 1/2[1 + erf(z/sqrt(2))].


[R188]Milton Abramowitz and Irene A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover, 1972.
[R189]Steven G. Johnson, Faddeeva W function implementation.