Article ID Journal Published Year Pages File Type
473235 Computers & Mathematics with Applications 2008 12 Pages PDF
Abstract

In this paper, we prove a theorem on the regular growth of the solutions of a linear differential equation, as an application of which we obtain some uniqueness theorems of an entire function sharing a finite nonzero complex number with its nnth derivative and a linear differential polynomial of its nnth derivative under the restriction of finite lower order or of finite lower hyper-order that is not a positive integer. 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.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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