Linear differential equations with coefficients in Fock type space

In this paper we deal with complex differential equa- tions of the form f (k) + ak−1(z)f (k−1) + · · · + a1(z)f 0 + a0(z)f = 0 with the coefficients in Fock type space. The relation betweenthe solutions and coefficients in Fock type space is obtained.