有界函数的导数(英文)  

The derivation of bounded functions

作　　者：冯春强[1] 徐裕生[1] 刘勇[1] 苑文法[1] 

机构地区：[1]西安建筑科技大学理学院,陕西西安710055

出　　处：《纺织高校基础科学学报》2007年第2期143-145,148,共4页Basic Sciences Journal of Textile Universities

基　　金：Supported by Scientific Research Fund of Shanxi provincial Education Depart ment(03JK065)

摘　　要：讨论复数域上有界正则函数的导数估计问题(上界问题),利用有界函数的性质、最大模原理及归纳法,得到有界正则函数及正则正实部函数五阶导数估计式,并由此得到有界正则函数的n阶导数估计式,并推断出正则的正实部函数的阶导数估计式,从而将有界函数的导数估计从特殊推广到一般.In this paper,we mainly discuss the problem of estimating the derivation of bounded functions. A general estimation of the nth derivation of regular function is presented by using the maximum modulus principle and the properties of the bounded functions. Hence, the results of bounded regular functions have been given from special to general.

关 键 词：有界函数 正则函数 正实部函数 最大模原理 估计 

分 类 号：O174[理学—数学]