Evaluate numerically to high precision:

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

Evaluate InverseErf efficiently at high precision:

Evaluate numerically the inverse of the generalized error function:

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 InverseErf function using MatrixFunction:

Exact results for specific arguments:

Find a real root of the equation :

Plot the InverseErf function:

Plot the inverse of the generalized error function for different values of :

Plot the inverse of the generalized error function for different values of :

InverseErf is defined for all real values from the interval ():

InverseErf takes all real values:

InverseErf is an odd function:

InverseErf is an analytic function on its domain:

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

InverseErf is nondecreasing on its domain:

InverseErf is injective:

InverseErf is surjective:

InverseErf is neither non-negative nor non-positive:

InverseErf is neither convex nor concave on its domain:

First derivative:

Higher derivatives:

Indefinite integral of InverseErf:

Definite integral of InverseErf over its real domain:

Numerical approximation of the definite integral of InverseErf:

Taylor expansion for InverseErf:

Plot the first three approximations for InverseErf around :

Series expansion of the inverse of the generalized error function:

Compose with the inverse error function:

Compose with the inverse generalized error function:

Primary definition of the inverse error function:

Relation to the inverse of the generalized error function:

Relation to the inverse complementary error function:

TraditionalForm formatting: