亚纯函数关于ff^((k))—1的一个界囿不等式  

An inequality for meromorphic function with respect to ff^((k))—1

作　　者：邹温林[1] 张庆德[2] 

机构地区：[1]东南大学自动化研究所,南京210096 [2]成都信息工程学院计算科学系,成都610225

出　　处：《四川大学学报（自然科学版）》2009年第2期282-286,共5页Journal of Sichuan University(Natural Science Edition)

摘　　要：设k为任意正整数,f(z)为复平面上的亚纯函数,且不为次数小于k的多项式。作者证明了若k≤4,N_(k))(r,1/f)=S(r,f),k≥5时,N_(4))(r,1/f)=S(r,f),则T(r,f)≤N(r,(ff^((k)))′/(ff^((k))-1)-N(r,(ff^((k))-1)/(ff^((k)))′)+S(r,f)。Let k be any positive integer, f(z) be a meromorphic function in the complex plane satisfying that it is not a polynomial with degree less than k. It is proved that in k≤4, N_(k)) (r,1/f)=S(r,f),k≥5, N_(4)) (r,1/f)=S(r,f), then T(r,f)<<20(r, 1/(ff^((k))-1))+S(r,f).

关 键 词：亚纯函数 零点 多项式 

分 类 号：O174.52[理学—数学]