  The contribution of this paper is two-fold. The first one is to derive a
simple formula of the mean curvature form for a hypersurface in the Randers
space with a Killing field, by considering the Busemann-Hausdorff measure and
Holmes-Thompson measure simultaneously. The second one is to obtain the
explicit local expressions of two types of nontrivial rotational BH-minimal
surfaces in a Randers domain of constant flag curvature $K=-1$, which are the
first examples of BH-minimal surfaces in the hyperbolic Randers space.
