Discrete Dynamics in Nature and Society (Jan 2020)
On the Complex Oscillation of Meromorphic Solutions of Nonhomogeneous Linear Differential Equations with Meromorphic Coefficients
Abstract
In this paper, we study the higher order differential equation fk+Bf=H, where B is a rational function, having a pole at ∞ of order n>0, and H≡0 is a meromorphic function with finite order, and obtain some properties related to the order and zeros of its meromorphic solutions.