The Roles Played by Order of Starlikeness and the Bloch Condition in the Roper-Suffridge Extension Operator

被引：2

作者：

Zhang, Xiaofei ^{[1
]}

Xie, Yonghong ^{[2
]}

机构：

[1] Pingdingshan Univ, Coll Math & Informat Sci, Pingdingshan 467000, Peoples R China

[2] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R China

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2018年 / 12卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Roper-Suffridge extension operators; Starlike mappings; Spirallike mappings; Bloch functions; UNIVALENT MAPPINGS; CONVEX MAPPINGS;

D O I：

10.1007/s11785-017-0652-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we obtain that the relation implies G is a homogeneous polynomial of degree at most p for all on the bounded convex circular domain . We shall also show that if f is a spirallike function of type and is also a Bloch function on the unit disk, then is a spirallike mapping of type on the domain for certain G having terms of degree greater than p, where and . As corollaries, some well known results can be got.

引用

页码：247 / 259

页数：13

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