论文标题

schwarzian导数,用于订单alpha的凸映射

Schwarzian derivative for convex mappings of order alpha

论文作者

Carrasco, Pablo, Hernández, Rodrigo

论文摘要

本文的主要目的是在$ f''(0)$的值方面获得schwarzian衍生品规范的尖锐界限,尤其是在此数量等于零时。此外,我们为此映射获得了急剧的扭曲和生长界限,并概括了Suta和Yamashita为此特定情况获得的结果。

The main purpose of this paper is to obtain sharp bounds of the norm of Schwarzian derivative for convex mappings of order $alpha$ in terms of the value of $f''(0)$, in particular, when this quantity is equal to zero. In addition, we obtain sharp bounds for distortion and growth for this mappings and we generalized the results obtained by Suita and Yamashita for this particular case.

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