摘要
本文得出导数具有正实部的解折函数族的反函数的系数的精确上界。
Let P be the set of p(z) = 1 + Ckzk analytic in |z| < 1 with Re p(z) > 0.Let I ={f(z)|f(z)= , p(z)∈P}. This paper proves the theorem: Let w = f(z) ∈I and let (w) = w + rnwn be the inverse of f(z). Then |rn|≤|Bn|,n = 2, 3,…, where Bn(n = 2, 3,…) are the coefficients of the inverse function 0(w) and f0(z)=-z-2 log(1-z) ∈I. The estimates are precise.
出处
《数学进展》
CSCD
北大核心
1996年第4期366-370,共5页
Advances in Mathematics（China）
基金
福建省教委科研基金
