  The contributions to the deep inelastic scattering structure function which
arise from emission of zero, one, two or three resolvable gluons and any number
of unresolvable ones are computed to order ${\bar \alpha}_{S}^{3}$. Coherence
effects are taken into account via angular ordering and are demonstrated to
yield (at the leading logarithm level) the identical results to those obtained
assuming the multi-Regge kinematics of BFKL.
