Properties of harmonic functions which are convex of order Î² with respect to symmetric points

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. 31-39. ISSN 0049-2930

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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 complex-valued 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
Keyword:	Coefficient estimates, Convex of order Î² with respect to symmetric points, Harmonic functions
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics > QA150-272.5 Algebra
Department:	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:	https://eprints.ums.edu.my/id/eprint/2624

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