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.
出处
《纺织高校基础科学学报》
CAS
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)
关键词
有界函数
正则函数
正实部函数
最大模原理
估计
bounded functions
regular functions
positive real part functions
maximum modulus principle
estimation
