= Faddeeva function
{c}
{title2=$w(z)=e^{-z^2}\operatorname{erfc}(-iz)$}
{wiki}
The Faddeeva function is an <entire function> built from the <complementary error function>. Its integral representation for $\operatorname{Im}z>0$ is $w(z)=(i\pi)^{-1}\int_{-\infty}^{\infty}e^{-t^2}/(t-z)\,dt$, as normalized in https://dlmf.nist.gov/7.7#E2[NIST's integral representation]. Its reflection identity is $w(-z)=2e^{-z^2}-w(z)$, directly from the <odd function> property of the <error function>.
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