Normal families and uniqueness of entire functions and their derivatives |
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| Authors: | Jiangtao Li Hongxun Yi |
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| Institution: | (1) Department of Mathematics, Shandong University, Jinan, 250100, People’s Republic of China;(2) Department of Mathematics, Chongqing University, Chongqing, 400044, People’s Republic of China |
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| Abstract: | In this paper we use the theory of normal families to prove: Let a and b be two complex numbers such that b ≠ a, 0, and let f be a non-constant entire function. If f and f′ share the value a CM and if f = b whenever f′ = b, then f ≡ f′. This result improves a result due to Rubel and Yang.
Received: 13 June 2005 |
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| Keywords: | 30D35 30D45 |
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