Multiplier family of harmonic univalent functions

被引：0
作者：
Al-Khal, R. A. [1 ]
机构：
[1] Girls Coll, Fac Sci, Dept Math, Dammam, Saudi Arabia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 06期
关键词：
Harmonic functions; Generalized Bernardi-Libera-Livingston; integral operator; Distortion theorems; Closure properties; Convolution; Neighborhoods;
D O I：
10.1016/j.amc.2009.08.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to study a multiplier family of harmonic univalent functions using the sequences {c(n)} and {d(n)} of positive real numbers. By specializing {c(n)} and {d(n)}, the generalized Bernardi-Libera-Livingston integral operator is modified for such functions and the closure of the multiplier family under the modified integral operator is determined. Also, convolution products, closure properties, distortion theorems, convex combinations and neighborhoods for such functions are given. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：2238 / 2242
页数：5
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