ERRORF Function

Calculates the standard error function of the input variable.

result = ERRORF(x)

x The expression for which the error function will be evaluated.

result The standard error function of x. It is of floating-point data type, and has the same dimensions as x.

None.

The standard error function is central to many calculations in statistics. The ERRORF function can be used in a variety of applications; one example is to solve diffusion equations in heat transfer problems.

The error function is a special case of the incomplete gamma function. ERRORF is defined as:



It is related to the incomplete gamma function by:

erf(x) = (1/2, x²)

where x 0.

GAMMA

The method used to determine the error function of complex operands is taken from: W. Gautschi, "Efficient computation of the complex error function," Siam Journal of Numerical Analysis, Volume 7, page 187, 1970.