整函数与其一阶及二阶导数具有一个公共值的唯一性

UNIQUENESS OF ONE VALUE SHARED BY AN ENTIRE FUNCTIONONE RANK DERIVATIVE AND TWO RANK DERIVATIVE

本文完善了Jank—Mues—Volkmann关于整函数f,f′,f″具有一个公共值的唯一性定理的证明.本文运用对数求导的方法,讨论了Picard例外值,从而完善了定理的证明.

This paper improved Jank-Mues-Volkmann's proof about the uniqueness theorem of entire function f,f′,f″ with one common value. By means of logarithmic coefficient, the Picard's value was discussed, so the proof of the theorem was improved.