Growth of Solutions of Homogeneous Differential–Difference Equations

Abstract

In this article, we study the growth properties of solutions of homogeneous linear differential–difference equations in the whole complex plane ∑j=0nAjzfjz+cj=0, n∈N+, where cj, j=0,...,n are complex numbers, and Aj(z), j=0, …, n are entire functions of the same order.

Keywords

• meromorphic function
• differential equation
• difference equation
• differential–difference equation