\[\int_{0}^{\infty}e^{2iat}\operatorname{erfc}\left(bt\right)\,\mathrm{d}t={%
\frac{1}{a\sqrt{\pi}}F\left(\frac{a}{b}\right)+\frac{i}{2a}\left(1-e^{-(a/b)^{%
2}}\right)},\]