g(s) = 2 \gamma \int_0^{\infty} (st)^{\gamma + \rho - 1/2} \; G_{p,\,q+1}^{\,q+1,\,0} \!\left( \left. \begin{matrix} \mathbf{a_p} \\ 0, \mathbf{b_q} \end{matrix} \; \right| \, (st)^{2 \gamma} \right) f(t) \; dt,
