  We calculate the Mellin moments of next-to-next-to-leading order coefficient
functions of the Drell-Yan and Higgs production cross sections. The results can
be expressed in term of finite harmonic sums which are maximally threefold up
to weight four. Various algebraic relations among these finite sums reduce the
complexity of the results suitable for fast numerical evaluations. It is shown
that only five non--trivial functions occur besides Euler's $\psi$--function in
the representation of these Wilson coefficients.
