Evaluate numerically to high precision:

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

Evaluate InverseErfc 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 InverseErfc function using MatrixFunction:

Exact results for specific arguments:

Find a real root of the equation :

Plot the InverseErfc function:

Plot the InverseErfc function reflected about :

InverseErfc is defined for all real values from the interval :

InverseErfc takes all real values:

InverseErfc is an analytic function on its domain:

It is not analytic in general, as it has both singularities and discontinuities:

InverseErfc is nonincreasing on its domain:

InverseErfc is injective:

InverseErfc is surjective:

InverseErfc is neither non-negative nor non-positive:

InverseErfc is neither convex nor concave:

First derivative:

Higher derivatives:

Indefinite integral of InverseErfc:

Definite integral of InverseErfc over its real domain:

Numerical approximation of the definite integral of InverseErfc:

Series expansion for InverseErfc around :

Taylor expansion for InverseErfc around :

Plot the first three approximations for InverseErfc around :

Primary definition of the inverse error function:

Relation to the inverse complementary error function:

TraditionalForm formatting: