Dawson Function

In mathematics, the Dawson function is
F(x) = e^{-x^2} \int_0^x e^{t^2}\,dt.
The notation D(x) is also in use. The Dawson function is also called the Dawson integral. The Dawson function is closely related to the error function erf, as
F(x) = {\sqrt{\pi} \over 2} e^{-x^2} \mathrm{erfi} (x)
  = - {i \sqrt{\pi} \over 2}  e^{-x^2}  \mathrm{erf} (ix)  
where erfi is the imaginary error function, erfi(x) = − i erf(ix).

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