Properties of harmonic functions which are convex of order β with respect to conjugate points

Aini Janteng and Suzeini Abdul Halim (2013) Properties of harmonic functions which are convex of order β with respect to conjugate points. International Journal of Mathematical Analysis, 1 (21). pp. 1031-1039. ISSN 1312-8876

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Abstract

Let H 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 β (0 ≤ β < 1), with respect to conjugate points. We obtain coefficient conditions, growth result, extreme points, convolution and convex combinations for the above harmonic functions.

Item Type:	Article
Keyword:	Harmonic functions , Convex of order β with respect to conjugate points , Coefficient estimates
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics > QA1-43 General
Department:	SCHOOL > School of Science and Technology
Depositing User:	DG MASNIAH AHMAD -
Date Deposited:	02 Aug 2022 10:52
Last Modified:	08 Aug 2022 08:23
URI:	https://eprints.ums.edu.my/id/eprint/33617

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