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Keywords:
entire functions; order of growth; shared values; uniqueness theorems
entire functions; order of growth; shared values; uniqueness theorems
Summary:
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.
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