Erfi

Evaluate for complex arguments:

Evaluate to high precision:

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

Simple exact values are generated automatically:

Parity transformation is automatically applied:

Erfi threads element-wise over lists:

Erfi can be applied to a power series:

Infinite arguments give symbolic results:

Solve a differential equation:

An isothermal solution of the force-free Vlasov equation:

Integrating over the particle velocities gives the marginal distribution for the particle density:

A solution of the time-dependent Schrödinger equation for the sudden opening of a shutter:

Verify correctness:

This plots the time-dependent solution:

The imaginary error function for large imaginary-part arguments can be very close to :

For large arguments, intermediate values may overflow:

Use DawsonF: