On the complex oscillation of non-homogeneous linear differential equations with meromorphic coefficients

Abstract

In this paper, we investigate the complex oscillation of
f^(k)+b_k−1f^(k−1)+…+b₀f=B(z),
where b_k−j({\jmath}=1, …, k) are rational functions, B(z) is a meromorphic funciton, and obtain general estimates of the exponent of convergence of the zero-sequence and the pole-sequence of solutions for the above equation.