正则的正实部函数的导数估计

摘要

The problem of estimating the nth derivative of regular positive real part functions:g(z)=c0+c1z +…+cnzn+…,which are regular in |z|＜1 and Reg(z)＞0,is discussed.With the principle of inductive method and the characters of regular positive real part functions,an estimation formula of the nth derivative for the functions is presented.%本文主要讨论了正则的正实部函数的导数估计问题,即对正则的正实部函数,从已知的三阶,四阶导数估计式,利用归纳法原理及正则的正实部函数的性质推出n阶导数的一般估计式.