  In this paper, we will give an Enneper-type representation for spacelike and
timelike minimal surfaces in the Lorentz-Minkowski space $L^{3}$, using the
complex and the paracomplex analysis (respectively). Then, we exhibit various
examples of minimal surfaces in $L^{3}$ constructed via the Enneper
representation formula, that it is equivalent to the Weierstrass representation
obtained by Kobayashi (for spacelike immersions) and by Konderak (for the
timelike ones).
