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Some Properties of Harmonic Functions Defined by Convolution.

Authors :
Dixit, Kaushal Kishor
Porwal, Saurabh
Source :
Kyungpook Mathematical Journal. Dec2009, Vol. 49 Issue 4, p751-761. 11p.
Publication Year :
2009

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
12256951
Volume :
49
Issue :
4
Database :
Academic Search Index
Journal :
Kyungpook Mathematical Journal
Publication Type :
Academic Journal
Accession number :
47790650
Full Text :
https://doi.org/10.5666/KMJ.2009.49.4.751