Pure Mathematics
Vol.4 No.02(2014), Article ID:13237,4 pages DOI:10.12677/PM.2014.42011

Xinhua Shi

College of Science, Civil Aviation University of China, Tianjin

Email: xhshi2000@163.com

Received: Feb. 13th, 2014; revised: Mar. 2nd, 2014; accepted: Mar. 12th, 2014

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.

Keywords:Meromorphic Function; Shared Value; Uniqueness

Email: xhshi2000@163.com

1. 引言

(*)

2010年，徐俊峰等人[4] 证明了下面两个定理：

(1) 当

(2) 当，下面两种情形必有一种成立：

(3)，其中是个常数且有

(4)，其中是三个常数且满足

2. 主要引理

(1)

(2)

(3)

(4)

(5)

(6)

3. 定理1的证明

(7)

(8)

(9)

(10)

(11)

(12)

(13)

(14)

(15)

(16)

(i)，或者

(ii)

(17)

(iii)，或者

(iv)

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