关于φ(z)f(z)f^(k)(z)的值分布  

On the Value Distrbution of φ(z)f(z)f^(k)(z)

作　　者：桑汉英[1] 卢谦[2] 

机构地区：[1]重庆师范大学数学与计算机科学学院,重庆400047 [2]西南科技大学理学院,四川绵阳621002

出　　处：《西南师范大学学报（自然科学版）》2003年第4期536-539,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：四川省教育厅重点科研基金项目(2002A031);西南科技大学学科梯队项目.

摘　　要：得到在｜z｜<+∞内的超越亚纯函数f(z)涉及慢增长函数φ(z)的微分单项式φ(z)f(z)f(z)(k)的定量不等式:T(r,f)≤N1(r,f)+3 Nk)(r,1f)+ Nr,1φff(k)-1+S(r,f)其中φ(z)为非零亚纯函数,满足T(r,φ)=S(r,f);S(r,f)表示o(T(r,f))(r+∞),至多除去[0,+∞)内一线性测度有穷的集合.Suppose f(z) is a transcendental meromorphic function in |z|<+∞. The conclusion is made that the following inequality hold which is related to the differential monomial φ(z)ff(k) of function f(z). T(r, f)≤N1(r, f)+3k)(r, 1f)+(r, 1φff(k)-1)+S(r, f)where φ(z) is nonzero slowly increasing function meromorphic in |z|<+∞ satisfying T(r, φ)=S(r, f) and S(r, f)=o(T(r, f))(r+∞) at the most outside the finite set of r of a linear measure in

关 键 词：超越亚纯函数 慢增长函数 微分单项式 值分布 非零亚纯函数 线性测度 

分 类 号：O174.52[理学—数学]