\[t^{\mu-1}\ast f=\sum_{s=0}^{n-1}\frac{(-1)^{s}a_{s}}{\mu\cdot s!}D^{s+1}\left(%
t^{\mu}\left(\ln t-\gamma-\psi\left(\mu+1\right)\right)\right)-\sum_{s=1}^{n}d%
_{s}\frac{\Gamma\left(\mu\right)}{\Gamma\left(\mu-s+1\right)}t^{\mu-s}+t^{\mu-%
1}\ast f_{n}\]