$$\mathrm{\text{And this shows a combination with a background image at a desired opacity }}{Z}_{\alpha }\left(f\right)=\frac{1}{2i\hspace{0.17em}cos\left(\frac{\alpha \pi }{2}\right)}{\int }_C\frac{f(iz){(-z)}^{\alpha }}{e^{2\pi z}-1}dz$$