Uniqueness of entire functions |
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Authors: | Jianming Chang Mingliang Fang |
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Affiliation: | a Department of Mathematics, Changshu College, Changshu, Jiangsu 215500, PR China b Department of Mathematics, Nanjing Normal University, Nanjing 210097, PR China |
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Abstract: | Let f be a nonconstant entire function and let a be a meromorphic function satisfying T(r,a)=S(r,f) and a?a′. If f(z)=a(z)⇔f′(z)=a(z) and f(z)=a(z)⇒f″(z)=a(z), then f≡f′, and a?a′ is necessary. This extended a result due to Jank, Mues and Volkmann. |
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Keywords: | Meromorphic function Entire function Unicity |
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