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
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.
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.
|