𝐅⁑(a,b;c;z)=eβˆ’b⁒π⁒i⁒Γ⁑(1βˆ’b)2⁒π⁒i⁒Γ⁑(cβˆ’b)⁒∫∞(0+)tbβˆ’1⁒(t+1)aβˆ’c(tβˆ’z⁒t+1)a⁒dt,