\[\int^{\infty}_{0}x^{s-1}(f*g)(x)\,\mathrm{d}x=\mathscr{M}\mskip-3.0muf\mskip 3%
.0mu\left(s\right)\mathscr{M}\mskip-3.0mug\mskip 3.0mu\left(s\right).\]