\ln (| Γ (z) |) = z \ln (l) - l + \ln (\sum_{0}^{\infty} \frac{l^{n}}{z^{\bar{n}}} + \frac{1}{z - \frac{c_{1}}{d_{1} + \frac{c_{2}}{d_{2} + \frac{c_{3}}{d_{3} + \dots}}}}); c_{k} = - (z + k - 1) \land d_{k} = z + k + l