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

被引：137

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

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2003年 / 37卷 / 1-2期

基金：

加拿大自然科学与工程研究理事会; 新加坡国家研究基金会;

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.

引用

页码：39 / 49

页数：11

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