In this paper, we investigate the growth and fixed points of meromorphic solutions and their derivatives of higher-order nonhomogeneous linear differential equations with meromorphic coefficients. Our results extend the previous theorems due to Gundersen and Yang, Han and Yi. As an application of our results, we generalized some previous results that are related to Bruck’s conjecture.

/pdf/growth-and-fixed-points-of-meromorphic-solutions-of-1ya66mgpnp.pdf

Growth and fixed points of meromorphic solutions of nonhomogeneous linear differential equations

In the paper, we have two purposes. Firstly, we prove two theorems and two corollaries of normal families which improve and generalize some results of Pang and Zalcman [9], Zhang, Sun and Pang [13], Chang and Fang [2]. Secondly, we use the theory of normal families and differential equations to obtain a uniqueness theorem of entire function which is an improvement of Chang and Fang [1].

/pdf/normal-families-and-uniqueness-theorem-of-holomorphic-3scj4cyx3e.pdf

Kai Liu

Papers

Normal families and uniqueness theorem of holomorphic functions