\[I_{2}(x)=\sum_{\Re\beta_{0}\leq\Re z\leq 1}\Residue\left[-x^{-z}\Gamma\left(1-%
z\right)\mathscr{M}\mskip-3.0muh_{2}\mskip 3.0mu\left(z\right)\right]+\frac{1}%
{2\pi i}\int_{\rho-i\infty}^{\rho+i\infty}x^{-z}\Gamma\left(1-z\right)\mathscr%
{M}\mskip-3.0muh_{2}\mskip 3.0mu\left(z\right)\,\mathrm{d}z.\]