Some Properties of Harmonic Functions Defined by Convolution

被引：0

作者：

Dixit, Kaushal Kishor ^{[1
]}

Porwal, Saurabh ^{[1
]}

机构：

[1] Janta Coll, Dept Math, Etowah 206124, UP, India

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2009年 / 49卷 / 04期

关键词：

harmonic; analytic and univalent functions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce and study a comprehensive family of harmonic univalent functions which contains various well-known classes of harmonic univalent functions as well as many new ones. Also, we improve some results obtained by Frasin [3] and obtain coefficient bounds, distortion bounds and extreme points, convolution conditions and convex combination are also determined for functions in this family. It is worth mentioning that many of our results are either extensions or new approaches to those corresponding previously known results.

引用

页码：751 / 761

页数：11

共 8 条

[1]

Avci Y., 1990, ANN U M CURIESKLOD A, V44, P1

[2]

CLUNIE J, 1984, ANN ACAD SCI FENN-M, V9, P3

[3]

Frasin B. A., 2006, SUT J MATH, V42, P145

[4] Harmonic functions starlike in the unit disk [J].