摘要
讨论了亚纯函数的唯一性问题，推广了仪洪勋及华歆厚的有关定理，证明了下面定理：设ｆ与ｇ是非常数亚纯函数，ｎ是正整数．再设ａ与ｂ是亚纯函数，且满足Ｔ（ｒ，ａ）＋Ｔ（ｒ，ｂ）＝ｍｉｎ｛ｓ（ｒ，ｆ），ｓ（ｒ，ｇ）｝，ａ（ｎ）ｂ如果ｆ（ｎ）＝ｂｇ（ｎ）＝ｂ，δ（∞，ｆ）＝δ（∞，ｇ）＝１，且δ（ａ，ｆ）＋δ（ａ，ｇ）＞１，则ｆ≡ｇ或（ｆ（ｎ）－ａ（ｎ）·（ｇ（ｎ）－ａ（ｎ）≡（ｂ－ａ（ｎ）２．
The paper proves the following theorem: Let f and g be two nonconstant meromorphic functions, n be a positive integer. We suppose that a and b are two meromorphic functions and satisfy: T(r,a)+T(r,b)= min {s(r,f),s(r,g)},a (n) b If f (n) =b*g (n) =b,δ(∞,f)=δ(∞,g)=1, and δ(a,f)+δ(a,g)>1, then f≡g or (f (n) -a (n) )·(g (n) -a (n) )≡(b-a (n) ) 2.
出处
《石油大学学报（自然科学版）》
CSCD
1997年第3期102-104,共3页
Journal of the University of Petroleum,China(Edition of Natural Science)
关键词
亚纯函数
零点
亏值
唯一性
Meromorphic function
Zero point
Deficient value
Uniqueness
