The error and complementary error functions occur, for example, in solutions of the heat equation when boundary conditions are given by the Heaviside step function. The error function and its …

Dec 3, 2025 · Erfc is the complementary error function, commonly denoted erfc (z), is an entire function defined by erfc (z) = 1-erf (z) (1) = 2/ (sqrt (pi))int_z^inftye^ (-t^2)dt.

This MATLAB function returns the Complementary Error Function evaluated for each element of x.

The complementary error function represents the area under the two tails of a zero-mean Gaussian probability density function with variance 2 = 1=2, as illustrated in Fig. 1.

As shown in Figure 2.5, the superposition of the error function and the complementary error function when the argument is greater than zero produces a constant value of unity.

ERF calculator and ERFC calculator, with inverse function support. Calculate the Gauss error function, the inverse and complementary error function of any real-valued number with high precision.

ERFC Complementary Error Function ERFC.1 Introduction Let x be a complex variable of C \ {∞}.The function Complementary Error Function (noted erfc) is defined by the following second order …

This entry provides the definitions and basic properties of the com-plex and real error function erf and the complementary error function erfc. Additionally, it gives their full asymptotic expansions.

The value of erf(z) can be found in mathematical tables, as build-in functions in calculators and spread sheets. If you have a programmable calculator, you may find the following approximation useful (it is …

Details Mathematical function, suitable for both symbolic and numerical manipulation.