  The spin-spin correlation function of the spherical model being precisely at
an anisotropic Lifshitz point of arbitrary order is calculated exactly. The
results are in agreement with scaling. The scaling function is shown to be
universal. The direction-dependent long-range correlations may change from
ferromagnetic to antiferromagnetic behaviour and back as the dimension is
varied. The form of the scaling function is compared to predictions following
from local scale invariance for strongly anisotropic critical systems.
