Aini Janteng and Suzeini Abdul Halim (2009) Properties of harmonic functions which are convex of order Î² with respect to symmetric points. Tamkang Journal of Mathematics, 40 (1). pp. 3139. ISSN 00492930
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Abstract
Let â„‹ denote the class of functions f which are harmonic and univalent in the open unit disc D = {z : \z\<1}.This paper defines and investigates a family of complexvalued harmonic functions that are orientation preserving and univalent in D and are related to the functions convex of order Î²(0 Î²< Î² < 1), with respect to symmetric points. We obtain coefficient conditions, growth result, extreme points, convolution and convex combinations for the above harmonic functions.
Item Type:  Article 

Uncontrolled Keywords:  Coefficient estimates, Convex of order Î² with respect to symmetric points, Harmonic functions 
Subjects:  Q Science > QA Mathematics > QA1939 Mathematics > QA150272.5 Algebra 
Divisions:  SCHOOL > School of Science and Technology 
Depositing User:  ADMIN ADMIN 
Date Deposited:  30 Mar 2011 15:15 
Last Modified:  30 Jul 2021 14:11 
URI:  http://eprints.ums.edu.my/id/eprint/2624 
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