Correlation functions of conserved currents in N=2 superconformal theory

Using a manifestly supersymmetric formalism, we determine the general struc ture of two- and three-point functions of the supercurrent and the flavour current of N = 2 superconformal field theories. We also express them in ter ms of N = 1 superfields and compare to the generic N = 1 correlation functi ons. A general discussion of the N = 2 supercurrent superfield and the mult iplet of anomalies and their definition as derivatives with respect to the supergravity prepotentials is also included.