Loewner chains and almost starlike mappings of complex order λ

被引：1

作者：

Balaeti, Camelia Madalina ^{[1
]}

Nechita, Veronica Oana ^{[2
]}

机构：

[1] Univ Petrosani, Dept Math, Petrosani 332006, Romania

[2] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

来源：

CARPATHIAN JOURNAL OF MATHEMATICS | 2010年 / 26卷 / 02期

关键词：

Biholomorphic mapping; Loewner chain; Roper-Suffridge extension operator; spirallike function; starlike function; subordination; subordination chain; PARAMETRIC REPRESENTATION; UNIVALENT MAPPINGS; EXTENSION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the notion of almost starlikeness of complex order on the unit disc as well as on the unit ball B-n in C-n, and we prove that this notion can be characterized in terms of Loewner chains. Finally, we use the theory of Loewner chains to deduce that certain classes of generalized Roper-Suffridge extension operators preserve almost starlikeness of complex order lambda.

引用

页码：146 / 157

页数：12

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