Generalized gluon currents and applications in QCD

We present a recursion relation for a current containing $n$ off-shell plus an arbitrary number of onshell gluons. We are able to obtain an exact solution for $n=2\mathrm{}$ when all of the on-shell gluons have the same helicity, and one of the off-shell gluons is given a "generalized" polarization vector. We then apply this solution to derive an expression for the amplitude for $q\overline{q}\to q\overline{q}\mathrm{gg}\cdots g$.