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On the uniqueness of an entire function sharing a small entire function with some linear differential polynomial

Research paper by Xiao-Min Li, Hong-Xun Yi

Indexed on: 10 Nov '09Published on: 10 Nov '09Published in: Czechoslovak Mathematical Journal



Abstract

We prove a theorem on the growth of nonconstant solutions of a linear differential equation. From this we obtain some uniqueness theorems concerning that a nonconstant entire function and its linear differential polynomial share a small entire function. The results in this paper improve many known results. Some examples are provided to show that the results in this paper are the best possible.