一类单叶接近凸调和映射
A Class of Univalent Close-to-Convex Harmonic Mapping
摘要:
作为导数实部大于零的解析函数类的推广，本文介绍了一类单叶接近凸调和映射，讨论了此类映射的如下性质：偏差定理、凸半径、部分和的接近凸性、极值函数，且也研究了幂级数展开式中除首项外前有限项系数为零的子类。
Abstract:
This paper investigates a class of univalent close-to-convex harmonic mappings, which is the gener-alization of analytic functions whose derivatives have positive real parts. We discuss the following properties of functions in this class: deviation theorem, the radius of convexity, close-to-convexity of partial sums, extremal functions, and we also study the subclass of functions with initial zero coef-ficients.
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