,hm}} = -\log   \left(\sum_{m=0}^\infty \frac{\Gamma^m(0+\alpha)}{\Gamma(0+m\alpha)}(t_0^*)^m\right) +\frac{t_0^*}{0-\epsilon}\end{aligned}$$]{} where $t_0^*$ is the solution to [$$\begin{aligned} \notag 