The Australian Journal of Mathematical Analysis and Applications


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ISSN 1449-5910  

 

Paper Information

Paper Title:

Salagean-type Harmonic Univalent Functions with Respect to Symmetric Points

Author(s):

R. A. Al-Khal and H. A. Al-Kharsani

Department of Mathematics, Faculty of Science, Girls College,
P.O. Box 838,
Dammam, Saudi Arabia
ranaab@hotmail.com
hakh@hotmail.com


Abstract:

A necessary and sufficient coefficient are given for functions in a class of complex-valued harmonic univalent functions of the form f=h+\g using Salagean operator where h and g are analytic in the unit disk U = {z:|z|<1}. Furthermore, distortion theorems, extreme points, convolution condition, and convex combinations for this family of harmonic functions are obtained.

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