\[\mathscr{L}\mskip-3.0muh\mskip 3.0mu\left(\zeta\right)=\mathscr{M}\mskip-3.0%
muh_{1}\mskip 3.0mu\left(1\right)+\sum_{\Re\beta_{0}\leq\Re z\leq 1}\Residue%
\left[-\zeta^{z-1}\Gamma\left(1-z\right)\mathscr{M}\mskip-3.0muh_{2}\mskip 3.0%
mu\left(z\right)\right]+\sum\limits_{1<\Re z<l}\Residue\left[-\zeta^{z-1}%
\Gamma\left(1-z\right)\mathscr{M}\mskip-3.0muh\mskip 3.0mu\left(z\right)\right%
]+\frac{1}{2\pi i}\int_{l-\delta-i\infty}^{l-\delta+i\infty}\zeta^{z-1}\Gamma%
\left(1-z\right)\mathscr{M}\mskip-3.0muh\mskip 3.0mu\left(z\right)\,\mathrm{d}z,\]