摘要
讨论有界零解析函数的n阶导数估计,即对有界函数φ(z)=Bn利用最大模原理、归纳法原理及有界解析函数的性质推出n阶导数的一般估计式,并推出在z<1内解析的正实部函数的n阶导数的一般估计式,从而解决了有界零解析函数导数的估计问题.
In this paper, the problem of estimating the nth derivative of bounded vanishing function：ψ（z）∈Bn was discussed mainly, which was presented by the principle of inductive method and the characters of the bounded function. Also a similar result of the analytic function was given when its real part was positive in ｜z｜〈1.
出处
《天津师范大学学报（自然科学版）》
CAS
2005年第4期58-60,共3页
Journal of Tianjin Normal University：Natural Science Edition
基金
陕西省教育厅专项自然科学基金资助项目(03JK066)
关键词
有界函数
解析
导数估计
最大模原理
bounded functions
analytic
estimation of derivative
maxmum modele principle
