Displaying similar documents to “Entire functions that share a function with their first and second derivatives”

Entire functions that share values or small functions with their derivatives

Sheng Li, Zongsheng Gao, Jilong Zhang (2012)

Annales Polonici Mathematici

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We investigate the uniqueness of entire functions sharing values or small functions with their derivatives. One of our results gives a necessary condition on the Nevanlinna deficiency of the entire function f sharing one nonzero finite value CM with its derivative f'. Some applications of this result are provided. Finally, we prove some further results on small function sharing.

Uniqueness theorems and normal families of entire functions and their derivatives

Feng Lü, Junfeng Xu, Hongxun Yi (2009)

Annales Polonici Mathematici

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We use the theory of normal families to obtain some uniqueness theorems for entire functions, which improve and generalize the related results of Rubel and Yang, and Li and Yi. Some examples are provided to show the sharpness of our results.

On a kth-order differential equation

Xiao-Min Li, Cun-Chen Gao (2006)

Annales Polonici Mathematici

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We prove a theorem on the growth of a solution of a kth-order linear differential equation. From this we obtain some uniqueness theorems. Our results improve several known results. Some examples show that the results are best possible.