Résumé:
In this paper, we investigate the relationship between small functions
and differential polynomials gf (z) = d2f
+ d1f
+ d0f, where
d0(z), d1(z), d2(z) are entire functions that are not all equal to zero with
ρ(dj) < 1 (j = 0, 1, 2) generated by solutions of the differential equation
f
+ A1(z)eazf
+ A0(z)ebzf = F, where a, b are complex numbers that
satisfy ab(a − b) = 0 and Aj(z) ≡ 0 (j = 0, 1), F(z) ≡ 0 are entire
functions such that max {ρ(Aj), j = 0, 1, ρ(F)} < 1.
