  The Lie linearizability criteria are extended to complex functions for
complex ordinary differential equations. The linearizability of complex
ordinary differential equations is used to study the linearizability of
corresponding systems of two real ordinary differential equations. The
transformations that map a system of two nonlinear ordinary differential
equations into systems of linear ordinary differential equations are obtained
from complex transformations. Invariant criteria for linearization are given
for second order complex ordinary differential equations in terms of the
coefficients of the equations, as well as the corresponding real system, which
provide procedures for writing down the solutions of the equations.
Illustrative examples are given and discussed.
