Harmonic functions which are starlike of order β with respect to other points

Aini Janteng and Suzeini Abdul Halim and Maslina Darus (2008) Harmonic functions which are starlike of order β with respect to other points. International Journal of Contemporary Mathematical Sciences, 3. pp. 501-509. ISSN 1312-7586

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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 starlike of order β(0 ≤ β < 1), with respect to other points. We obtain growth result, extreme points, convolution and convex combinations for the above harmonic functions.

Item Type:	Article
Keyword:	Harmonic functions , Starlike of order β with respect to conjugate points , Coefficient estimates
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics
Department:	SCHOOL > School of Science and Technology
Depositing User:	DG MASNIAH AHMAD -
Date Deposited:	02 Aug 2022 10:35
Last Modified:	02 Aug 2022 10:35
URI:	https://eprints.ums.edu.my/id/eprint/33611

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