Dirichlet's Formula

If $g$ is continuous and $\mu,\nu>0$, then

$$\int_0^t (t-\xi)^{\mu-1}\,d\xi\int_0^\xi (\xi-x)^{\nu-1} g(\... ...t_0^t dx\int_x^t (t-\xi)^{\mu-1}(\xi-x)^{\nu-1}g(\xi,x)\,d\xi.$$