Schwarzian derivative and Landau's theorem for logharmonic mappings

被引：18

作者：

Mao, Zh ^{[1
]}

Ponnusamy, S. ^{[2
]}

Wang, X. ^{[1
]}

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

[2] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2013年 / 58卷 / 08期

关键词：

Schwarzian derivative; Schwarz' lemma; Landau's theorem; logharmonic mapping; PLANAR HARMONIC-MAPPINGS; BLOCH CONSTANTS;

D O I：

10.1080/17476933.2011.629725

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main aim of this article is twofold. First, we introduce the Schwarzian derivative for logharmonic mappings F, and obtain several necessary and sufficient conditions for to be analytic. Second, we establish Schwarz' lemma for logharmonic mappings, through which two versions of the Landau's theorem for these functions are obtained.

引用

页码：1093 / 1107

页数：15

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