Hyper-order and fixed points of meromorphic solutions of higher order linear differential equations

Abstract

The purpose of this paper is to study the growth and fixed points of meromorphic solutions and their derivatives to complex higher order linear differential equations whose coefficients are meromorphic functions. Our results extend the previous results due to Peng and Chen, Xu and Zhang and others.

Keywords

• Linear differential equations
• Meromorphic solutions
• Order of growth
• Hyper-order
• Fixed points