FIRST ORDER NONHOMOGENEOUS LINEAR DIFFERENTIAL POLYNOMIALS.

In this paper, we investigate the complex oscillation of the nonhomogeneous linear differential polynomial gf = d1f′ + d0f + b. Here d0 (z), d1 (z), b (z) are meromorphic functions such that at least one of d0 (z) and d1 (z) does not vanish identically with ρp (dj) <∞ (j = 0;1), ρp (b) < ∞, and f is a solution of the differential equation f″ + A(z) f = 0, where A(z) is a transcendental meromorphic function with finite iterated order ρp (A) = ρ > 0. [ABSTRACT FROM AUTHOR]