Displaying similar documents to “On a problem in complex oscillation theory of periodic second order linear differential equations and some related perturbation results.”

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

Xiao-Min Li, Hong-Xun Yi (2009)

Czechoslovak Mathematical Journal

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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.