  We compute numerically the full retarded Green's functions for conserved
currents in the shear channel of a (2+1)-dimensional field theory at non-zero
temperature and density. This theory is assumed to be holographically dual to a
non-extremal, electric Reissner-Nordstr\om AdS4 black hole with planar horizon.
Using the holographic description we obtain results for arbitrary frequencies
and momenta and survey the detailed structure of these correlators. In
particular, we demonstrate the `repulsion' and `clover-leaf crossing' of their
poles and stress the importance of the residues at the poles beyond the
hydrodynamic regime. As a consistency check, we show that our results agree
precisely with existing literature for the appropriate quasinormal frequencies
of the bulk theory.
