Criteria for the extremality of the Koebe mapping
Criteria for the extremality of the Koebe mapping
复制标题
DOI：
10.1090/s0002-9939-1991-1037204-8
复制
发表时间：
1991-02
期刊：
影响因子：
--
通讯作者：
D. Bshouty;W. Hengartner
中科院分区：
文献类型：
--
作者：
D. Bshouty;W. Hengartner
在已知的归一化一元函数S类中，给出了实泛函Koebe映射为极值的必要条件。这适用于（f(z)）A, 0 < A < 1的系数问题，以及f(z)的幂级数展开式的截面的一元性问题。
A criterion is developed which gives a necessary condition on a real functional in order that the Koebe Mapping be extremal for this functional in the well known class S of normalized univalent functions. This is applied to the coefficient problem of (f(z))A, 0 < A < 1, as well as to the problem of univalence of sections of the power series expansion of f(z) .