以权分担三个值的亚纯函数

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Abstract:

Using the idea of weighted sharing of values, the authors deal with the problem of uniqueness of meromorphic functions that share three values. The results in this paper improve all theorems given by Alzahary and Yi in J. Math. Anal. Appl. 295 (2004) 247--257.

Key words: Meromorphic functions, Weighted sharing of values, Uniqueness

CLC Number:

30D35

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CHEN Jun-Fan, LIN Wei-Chuan, Chen-Sheng-Jiang. Meromorphic Functions that Share Three Weighted Values[J].Acta mathematica scientia,Series A, 2009, 29(6): 1714-1723.

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References

[1] Alzahary T C, Yi H X. Weighted sharing three values and uniqueness of meromorphic functions. J Math Anal Appl, 2004, 295: 247--257

[2] Gundersen G G. Meromorphic functions that share three or four values. J London Math Soc, 1979, 20: 457--466

[3] Hayman W K. Meromorphic Functions. Oxford: Clarendon, 1964

[4] Hua X H, Fang M L. Meromorphic functions sharing four small functions. Indian J Pure Appl Math, 1997, 28: 797--811

[5] Lahiri I. Weighted sharing and uniqueness of meromorphic functions. Nagoya Math J, 2001, 161: 193--206

[6] Lahiri I. Weighted sharing of three values and uniqueness of meromorphic functions. Kodai Math J, 2001, 24: 421--435

[7] Yi H X. Meromorphic functions with weighted sharing of three values. Complex Variables, 2005, 50: 923--934

[8] Yi H X. Unicity theorems for meromorphic functions that share three values. Kodai Math J, 1995, 18: 300--314

[9] Yi H X, Yang C C. Uniqueness Theory of Meromorphic Functions. Beijing: Science Press, 1995

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Meromorphic Functions that Share Three Weighted Values

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