Question

show that if f is analytic within and a simple ciosed contour c and z0 is not on c, then integral f''(z)/z-z0 .dz =integral f(z)/(z-z0)2 .dz

Answer 1

Answer:

If f is analytic within and on the simple closed contour C and z_0 is a point within C,then

∮Cf′(z)z−z0dz=∮Cf(z)(z−z0)2dz

Is this statement true or false? If true why and if false why?

I tried to use Cauchy's integral formula but I couldn't prove true or false.

thanks