亚纯函数微分多项式分担两个值的唯一性
Uniqueness of Meromorphic Function of Differential Polynomials Sharing Two Values

作者: 石新华 :中国民航大学理学院,天津;

关键词: 亚纯函数分担值唯一性Meromorphic Function Shared Value Uniqueness

摘要:
本文运用Nevanlinna理论讨论了一类亚纯函数微分多项式分担两个值的唯一性问题,得到的结果改进或推广了亚纯函数分担值的许多唯一性结果。

Abstract:
We will use Nevanlinna distribution theory to discuss a power of meromorphic functions of differential polynomials sharing two values. The results generalize many results on value sharing of meromorphic functions.

文章引用: 石新华 (2014) 亚纯函数微分多项式分担两个值的唯一性。 理论数学, 4, 70-74. doi: 10.12677/PM.2014.42011

参考文献

[1] Hayman, W.K. (1964) Meromorphic Functions. Clarendon Press, Oxford.

[2] Yang, L. (1993) Value Distribution Theory. Springer-Verlag, Berlin.

[3] 仪洪勋, 杨重骏 (1995) 亚纯函数唯一性理论. 科学出版社, 北京.

[4] Xu, J.F., Lv, F. and Yi, H.X. (2010) Fixed-Points and Uniqueness of Meromorphic Functions. Computers & Mathematics with Applications, 59, 9-17.

[5] Yang, C.C. and Hua, X.H. (1997) Uniqueness and Value-Sharing of Meromorphic Functions. Annales Academiæ Scientiarum Fennicæ Mathematica, 22, 395-406.

[6] Fang, M.L. (2002) Uniqueness and Value-Sharing of Entire Functions. Computers & Mathematics with Applications, 44, 828-831.

[7] Lin, W.C. and Yi, H.X. (2004) Uniqueness Theorems for Meromorphic Functions. Indian Journal of Pure and Applied Mathematics, 35, 121-132.

[8] Zhang, T.D. and Lv, W.R. (2008) Uniqueness Theorems on Meromorphic Functions Sharing One Value. Computers & Mathematics with Applications, 55, 2981-2992.

[9] Yang, C.C. (1972) On Deficiencies of Dif-ferential Polynomials II. Mathematische Zeitschrift, 125, 107-112.

[10] Yi, H.X. (1997) Meromorphic Functions That Share Three Sets. Kodai Mathematical Journal, 20, 22-32.

[11] Zhang, X.B. and Xu, J.F. (2011) Uniqueness of Me-romorphic Functions Sharing a Small Function and Its Applications. Computers & Mathematics with Applications, 61, 722-730.

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