  We study four-point correlation functions of four generic half-BPS
supermultiplets of N=4 SCFT in four dimensions. We use the two-particle Casimir
of four-dimensional superconformal algebra to derive superconformal blocks
which contribute to the partial wave expansion of such correlators. The derived
blocks are defined on analytic superspace and allow us in principle to find any
component of the four-point correlator. The lowest component of the result
agrees with the superconformal blocks found by Dolan and Osborn.
