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A UNIFIED REPRESENTATION OF SOME STARLIKE AND CONVEX HARMONIC FUNCTIONS WITH NEGATIVE COEFFICIENTS.

Authors :
El-Ashwah, R. M.
Aouf, M. K.
Hassan, A. A. M.
Hassan, A. H.
Source :
Opuscula Mathematica. 2013, Vol. 33 Issue 2, p273-281. 9p.
Publication Year :
2013

Abstract

In this paper we introduce a unified representation of starlike and convex harmonic functions with negative coefficients, related to uniformly starlike and uniformly convex analytic functions. We obtain extreme points, distortion bounds, convolution conditions and convex combinations for this family. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
12329274
Volume :
33
Issue :
2
Database :
Academic Search Index
Journal :
Opuscula Mathematica
Publication Type :
Academic Journal
Accession number :
87744503
Full Text :
https://doi.org/10.7494/OpMath.2013.33.2.273