Erfi

The imaginary error function $\mathrm{erfi}$ is defined by $$\mathrm{erfi}(z)=-i\mathrm{erf}(iz),$$ where $\mathrm{erf}$ denotes the error function.

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  Graph of $\mathrm{erfi}$.

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  Domain coloring of $\mathrm{erfi}$.

<center>Error functions

Error function

Complementary $\mathrm{erf}$

Erfi

Inverse $\mathrm{erf}$

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