  We derive in detail the transition potential for nonmesonic
lambda-hypernuclear decay in a one-meson-exchange model involving the full
pseudoscalar and vector meson octets and including two effects that have been
systematically omitted in the literature. These are the kinematical effects due
to the difference between the lambda and nucleon masses and the first-order
nonlocality corrections. Numerical results for $^{12}_\Lambda$C and
$^5_\Lambda$He are presented and they show that the combined kinematical plus
nonlocal corrections have an appreciable influence on the partial decay rates.
However, this is somewhat diminished in the main decay observables: the total
nonmesonic rate, the neutron-to-proton branching ratio, and the asymmetry
parameter. The latter two still cannot be reconciled with the available
experimental data. The existing theoretical predictions for the sign of the
asymmetry parameter in $^5_\Lambda$He are confirmed.
