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Entire functions that share a small function with its derivative
Authors:Ping Li  Wenjie Wang
Institution:Department of Mathematics, University of Science and Technology of China, Hefei Anhui 230026, People's Republic of China
Abstract:In this paper, by studying the properties of meromorphic functions which have few zeros and poles, we find all the entire functions f(z) which share a small and finite order meromorphic function a(z) with its derivative, and f(n)(z)−a(z)=0 whenever f(z)−a(z)=0 (n?2). This result is a generalization of several previous results.
Keywords:Entire function  Small function  Sharing value
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