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.
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页码：146 / 157
页数：12
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