dz/dw=( -j * K1 * (w)^ (Theta/pi)-1 * (w-1) ^ (-Theta/pi))/ ((w-c-1)^ 1/2 * (w-c-2)^ 1/2)
dp/dw = -j * K2 * ((w)^ -1/2 * (w-1)^-1/2) / ((w-c-1)^1/2 * (w-c-2)^ 1/2)
Boundary Conditions for determination of constants K1 and c: When w=1, (x,y) = (1, cot(theta)) and w=1+c, (x,y) = (1, h+cot (theta))
assume c values
Boundary conditions for determination of Constant K2: when w=1, (pr, pi) = (1,0)