The nth Hermite polynomial is proportional to the n+1 derivative of this function.
The Dawson integral is used in this function's imaginary counterpart. The nth Hermite polynomial is proportional to the n+1 derivative of this function. The Q-function is equivalent to one-half minus one-half this function, evaluated at x over the square root of 2. This function appears in the solution to partial differential equations like Fick's Second Law. This function of x arises from the integral of the exponential of negative x squared, an integral which has no elementary analytical solution. It equals zero at zero, one at infinity, and in general, equals twice the cumulative normal distribution function, shifted down one-half. For 10 points, name this sigmoidal function which shares its name with "type I" and "type II" methods of making mistakes in statistical testing.
The Dawson integral is used in this function's imaginary counterpart.
error function [or erf]