Entire functions that share a small function with its derivative |
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Authors: | Ping Li Wenjie Wang |
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Institution: | Department of Mathematics, University of Science and Technology of China, Hefei Anhui 230026, People's Republic of China |
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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. |
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Keywords: | Entire function Small function Sharing value |
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