@modus_ponens
Yes, this is Cauchy’s integral formula, the contour is closed since it is the boundary of Omega. The only assumptions needed are that Omega must be a simply connected open subset (or an open star domain) of C, f is holomorphic over Omega and z is in the interior of Omega.
Yes, this is Cauchy’s integral formula, the contour is closed since it is the boundary of Omega. The only assumptions needed are that Omega must be a simply connected open subset (or an open star domain) of C, f is holomorphic over Omega and z is in the interior of Omega.

