  The well known hypervirial perturbation method (HPM)\ based on hypervirial
relations and the Hellmann-Feynman theorem is suitable for the calculation of
perturbation corrections of large order for the two-dimensional hydrogen-like
atom in a uniform magnetic field. We show analytical results in terms of the
quantum numbers and large order corrections for particular states. This
approach appears to be simpler and more efficient than the recently proposed
one based on Green functions.
