error function and Meijer-G function

Question

I am just wondering if there is any relation between the complementary error function Q-function and the Meijer-G function?

Answer 1

There are some relations for $\mathrm{erfc}$ and thus via simple substitution for $Q$ on the Wolfram function size, see http://functions.wolfram.com/GammaBetaErf/Erfc/26/02/01/.

Answer 2

It can have the following representation

$$\rm erfc (x)= 1-\frac{1}{\sqrt{\pi}}{ G^{1, 1}_{1, 2}\left({x}^{2}\, \Big\vert\,^{1}_{\frac{1}{2}, 0}\right)}.$$