  We use the solutions to the recursion relations for double-off-shell fermion
currents to compute helicity amplitudes for $n$-photon scattering and
electron-positron annihilation to photons in the massless limit of QED. The
form of these solutions is simple enough to allow {\it all}\ of the
integrations to be performed explicitly. For $n$-photon scattering, we find
that unless $n=4$, the amplitudes for the helicity configurations (+++...+) and
(-++...+) vanish to one-loop order.
