The growth of meromorphic solutions for a class of higher-order linear differential equations

Abstract

In this article, the growth of meromorphic solutions for a class of higher-order linear differential equation with meromorphic coefficients is investigated by applying the method of value distribution, and some estimates for the hyper-order of their solutions are obtained.

†Dedicated to Professor Wei Lin on the occasion of his 70th birthday.

Keywords:

• Hyper-order
• Meromorphic function
• Linear differential equation

Keywords:

• AMS Subject Classifications 2000: 30D35
• 34A20

Acknowledgements

This research is partly supported by the National Natural Science Foundation of China (No. 10471048) and the Doctoral Foundation of the Education committee of China (No. 20050574002).

Notes

†Dedicated to Professor Wei Lin on the occasion of his 70th birthday.