  This research is concerned with the nonhomogeneous linear complex
differential equation $$ f^{(k)}+A_{k-1}f^{(k-1)}+\cdots+A_{1}f'+A_{0}f=A_{k}
$$ in the complex plane. In the higher order case, the mutual relations between
coefficients and solutions in weighted Fock spaces are discussed, respectively.
In particular, sufficient conditions for the solutions of the second order case
$$ f"+Af=0 $$ to be in some weighted Fock space are given by Bergman
reproducing kernel and coefficient $A$.
