摘要
对Frank_Weissenborn不等式中导数f(k)能否替换成一般的线性微分多项式a0f+aεf′+akf(k)进行了研究,并彻底解决了这一问题,所建立的一个基本不等式蕴涵了著名的Frank_Weissenborn不等式.作为这一结果的应用,Hayman_Yang不等式及几个已有的结果也得到了推广.举例说明了所得定理的条件是必要的.
In this article,we deal with the distribution of values of linear differential polynomials, and have solved completely the following question： In well-known s inequality, can the derivative be replaced by a general linear differential polynomial？ As the solution of this question, Some obtained results are generalized. Some examples show that the conditions of theorems obtained in this paper are essential.
出处
《西安工业学院学报》
2005年第4期381-386,共6页
Journal of Xi'an Institute of Technology
基金
陕西省教育厅专项科研计划项目(04JK127)
关键词
亚纯函数
微分多项式
零点
极点
meromorphic function
differential polynomial
zero
pole
