\[{\mathbf{M}}\left(a,b,z\right)=e^{-b\pi\mathrm{i}}\Gamma\left(1-a\right)\Gamma%
\left(1+a-b\right)\*\frac{1}{4\pi^{2}}\int_{\alpha}^{(0+,1+,0-,1-)}e^{zt}t^{a-%
1}{(1-t)^{b-a-1}}\,\mathrm{d}t,\]