线性微分多项式的几个定理  

Some theorems for linear differential polynomials

作　　者：杨力[1] 

机构地区：[1]西安工业学院数理系,西安710032

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)

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.

关 键 词：亚纯函数 微分多项式 零点 极点 

分 类 号：O174.14[理学—数学]