| IM分担一个值的亚纯函数 |
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| 引用本文： | 高安力,郭辉.IM分担一个值的亚纯函数[J].深圳大学学报(理工版),1998,15(4):59-64. |
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| 作者姓名： | 高安力 郭辉 |
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| 作者单位： | 南京无线电工业学校!南京，210013，深圳大学师范学院数学教育系!深圳，518060 |
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| 摘 要： | 研究IM分担一个值的亚纯函数的唯一性，证明了：设f（z）和g（z）是两个非常数亚纯函数，n（≥26）是一个正整数，a是一个非零有穷复数．若fnf＇与gng＇IM分担a，则或者f＝dg，其中，d是常数且有dn 1＝1；或者f（z）＝c2e－cz，g（z）＝c1ecz，其中，c、C1及c2是常数且满足（c1c2）n 1c2＝－a2.
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| 关 键 词： | 亚纯函数 唯一性 IM分担 |
Meromorphic Functions Sharing One Value IM |
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| Gao Anli.Meromorphic Functions Sharing One Value IM[J].Journal of Shenzhen University(Science &engineering),1998,15(4):59-64. |
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| Authors: | Gao Anli |
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| Affiliation: | Gao Anli(Nanjing Radio Industrial School Nanjing 210013 P. R. China)Guo Hui(Department of Mathematical Education Normal College Shenzhen University Shenzhen 518060 P. R. China) |
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| Abstract: | The uniqueness of meromorphic functions sharing one value iM is studied. Suppose that and g(z) are two nonconstant meromorphic functions and n is a positive integer larger than 26. If fnf' and gng' sharing a which is a nonzero finite complex constant IM, then either f=dg or f(z) =c2e-cz, g (z) =c1ecz:, where d is a constant satisfying dn 1=1, c, c1 and c2 are constants satisfying (c1c2)n 1 c2=-a2. |
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| Keywords: | meromorphic functions uniqueness sharing value IM |
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