Evaluate numerically:

Evaluate to high precision:

The precision of the output tracks the precision of the input:

Evaluate for complex arguments:

Evaluate Erf efficiently at high precision:

Compute worst-case guaranteed intervals using Interval and CenteredInterval objects:

Or compute average-case statistical intervals using Around:

Compute the elementwise values of an array:

Or compute the matrix Erfc function using MatrixFunction:

Simple exact values are generated automatically:

Values at infinity:

Find the inflection point as the root of :

Plot the Erfc function:

Plot the real part of :

Plot the imaginary part of :

Erfc is defined for all real and complex values:

Erfc takes all real values between 0 and 2:

Erfc has the mirror property :

Erfc is an analytic function of x:

It has no singularities or discontinuities:

Erfc is nonincreasing:

Erfc is injective:

Erfc is not surjective:

Erfc is non-negative:

Erfc is neither convex nor concave:

First derivative:

Higher derivatives:

Formula for the derivative:

Indefinite integral of Erfc:

Definite integral Erfc:

More integrals:

Taylor expansion for Erfc:

Plot the first three approximations for Erfc around :

General term in the series expansion of Erfc:

Asymptotic expansion of Erfc:

Erfc can be applied to a power series:

Compute the Fourier transform of Erfc using FourierTransform:

LaplaceTransform:

MellinTransform:

Use FunctionExpand to convert to other functions:

Integral definition of Erfc:

Argument involving basic arithmetic operations:

Relationship of Erfc to Erf:

Erfc can be represented as a DifferentialRoot:

Erfc can be represented in terms of MeijerG:

TraditionalForm formatting: