Uniqueness of entire functions that share one value |
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| Authors: | Jun-Fan Chen Xiao-Yu Zhang Wei-Chuan Lin Sheng-Jiang Chen |
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| Affiliation: | aDepartment of Applied Mathematics, South China Agricultural University, Guangzhou 510642, Guangdong Province, PR China;bDepartment of Mathematics, Fujian Normal University, Fuzhou 350007, Fujian Province, PR China;cDepartment of Mathematical Sciences, Faculty of Science, Yamagata University, Yamagata 990-8560, Japan |
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| Abstract: | Using Nevanlinna’s value distribution theory, we study the uniqueness of entire functions that share only one value and prove some theorems which are related to one famous problem of Hayman [W.K. Hayman, Research Problems in Functions Theory, Athlone Press, London, 1967]. |
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| Keywords: | Entire function Sharing value Differential polynomial Uniqueness Meromorphic function |
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