The complex oscillation theory of f''+Af'+Bf=F, where A, B, F{¬≡}0 are transcendental meromorphic functions

抄録

In this paper, we investigate the complex oscillation of the differential equation
f''+Af'+Bf=F
where A, B, F{¬≡}0 are finite order transcendental meromorphic functions. In some cases we obtain estimates of the order of growth and the exponent of convergence of the zero-sequence of solutions for above equation. Theorem 3 and Theorem 4 are the main results among the Theorems in this paper.