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We construct a representation of the coherent state path integral
using the Weyl symbol of the Hamiltonian operator. This
representation is very different from the usual path integral forms
suggested by Klauder and Skagerstan in \cite{Klau85}, which involve
the normal or the antinormal ordering of the Hamiltonian. These
different representations, although equivalent quantum mechanically,
lead to different semiclassical limits. We show that the
semiclassical limit of the coherent state propagator in Weyl
representation is involves classical trajectories that are
independent on the coherent states width. This propagator is also
free from the phase corrections found in \cite{Bar01} for the two
Klauder forms and provides an explicit connection between the Wigner
and the Husimi representations of the evolution operator.