Evaluate numerically:

Evaluate to high precision:

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

Evaluate for complex arguments:

Evaluate Erfi 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 Erfi function using MatrixFunction:

Simple exact values are generated automatically:

Values at infinity:

Find the zero of Erfi:

Plot the Erfi function:

Plot the real part of :

Plot the imaginary part of :

Erfi is defined for all real and complex values:

Erfi takes all real values:

Erfi is an odd function:

Erfi has the mirror property :

Erfi is an analytic function of x:

It has no singularities or discontinuities:

Erfi is nondecreasing:

Erfi is injective:

Erfi is surjective:

Erfi is neither non-negative nor non-positive:

Erfi is neither convex nor concave:

First derivative:

Higher derivatives:

Formula for the derivative:

Indefinite integral of Erfi:

Definite integral of an odd integrand over an interval centered at the origin is 0:

More integrals:

Taylor expansion for Erfi:

Plot the first three approximations for Erfi around :

General term in the series expansion of Erfi:

Asymptotic expansion of Erfi:

Erfi can be applied to a power series:

Integral definition of Erfi:

Erfi of an inverse function:

Argument involving basic arithmetic operations:

Relationship of Erfi to Erf:

Series representation of Erfi:

Erfi can be represented as a DifferentialRoot:

Erfi can be represented in terms of MeijerG:

TraditionalForm formatting: