Argument estimates of certain analytic functions defined by a class of multiplier transformations

被引:134
|
作者
Cho, NE [1 ]
Srivastava, HM
机构
[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea
[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada
关键词
analytic functions; multiplier transformations; subordination principle; close-to-convex functions; argument estimates; integral operators;
D O I
10.1016/S0895-7177(03)80004-3
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The purpose of the present paper is to derive some inclusion properties and argument estimates of certain normalized analytic functions in the open unit disk, which are defined by means of a class of multiplier transformations. Furthermore, the integral preserving properties in a sector are investigated for these multiplier transformations. Relevant connections of the results, which are presented in this paper, with various known results are also considered. (C) 2003 Elsevier Science Ltd. All rights reserved.
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页码:39 / 49
页数:11
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