Mapping properties of nonlinear integral operators and pre-Schwarzian derivatives

被引：27

作者：

Kim, YC

Ponnusamy, S

Sugawa, T ^{[1
]}

机构：

[1] Hiroshima Univ, Grad Sch Sci, Dept Math, Higashihiroshima 7398526, Japan

[2] Yeungnam Univ, Dept Math Educ, Seoul 712749, South Korea

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 299卷 / 02期

关键词：

univalent function; integral transform; Hornich operation; Teichmuller space;

D O I：

10.1016/j.jmaa.2004.03.081

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, nonlinear integral operators on normalized analytic functions in the unit disk are investigated in connection with the pre-Schwarzian derivative and the Hornich operation. In particular, several nontrivial relations between these operators and the class of strongly starlike functions will be deduced. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：433 / 447

页数：15

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