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Classes with Negative Coefficients and Convex with Respect to Other Points

Let S be the class of functions f which are analytic and univalent in the open unit disc D = {z : |z| < 1} given by f(z) = z + ∞ n=2 anzn and an a complex number. Let T denote the class consisting of functions f of the form f(z) = z − ∞ n=2 anzn where an is a non negative real number. In [8], Won...

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Main Authors:	Wong See Jiuon, Aini Janteng
Format:	Article
Language:	English English
Published:	HIKARI Ltd 2008
Subjects:	QA299.6-433 Analysis QA440-699 Geometry. Trigonometry. Topology
Online Access:	https://eprints.ums.edu.my/id/eprint/35854/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/35854/2/FULL%20TEXT.pdf https://eprints.ums.edu.my/id/eprint/35854/
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id	my.ums.eprints.35854
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spelling	my.ums.eprints.358542023-07-14T07:14:19Z https://eprints.ums.edu.my/id/eprint/35854/ Classes with Negative Coefficients and Convex with Respect to Other Points Wong See Jiuon Aini Janteng QA299.6-433 Analysis QA440-699 Geometry. Trigonometry. Topology Let S be the class of functions f which are analytic and univalent in the open unit disc D = {z : \|z\| < 1} given by f(z) = z + ∞ n=2 anzn and an a complex number. Let T denote the class consisting of functions f of the form f(z) = z − ∞ n=2 anzn where an is a non negative real number. In [8], Wong and Janteng introduced 3 subclasses of T ; CsT(α, β), CcT(α, β) and CscT(α, β), consisting of analytic functions with negative coefficients and are respectively convex with respect to symmetric points, convex with respect to conjugate points and convex with respect to symmetric conjugate points. Here, α and β are to satisfy certain constraints. This paper extends the result in [8] to other properties namely growth and extreme points. HIKARI Ltd 2008 Article NonPeerReviewed text en https://eprints.ums.edu.my/id/eprint/35854/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/35854/2/FULL%20TEXT.pdf Wong See Jiuon and Aini Janteng (2008) Classes with Negative Coefficients and Convex with Respect to Other Points. International Mathematical Forum, 3 (27). pp. 1-7. ISSN 1312-7594
institution	Universiti Malaysia Sabah
building	UMS Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Malaysia Sabah
content_source	UMS Institutional Repository
url_provider	http://eprints.ums.edu.my/
language	English English
topic	QA299.6-433 Analysis QA440-699 Geometry. Trigonometry. Topology
spellingShingle	QA299.6-433 Analysis QA440-699 Geometry. Trigonometry. Topology Wong See Jiuon Aini Janteng Classes with Negative Coefficients and Convex with Respect to Other Points
description	Let S be the class of functions f which are analytic and univalent in the open unit disc D = {z : \|z\| < 1} given by f(z) = z + ∞ n=2 anzn and an a complex number. Let T denote the class consisting of functions f of the form f(z) = z − ∞ n=2 anzn where an is a non negative real number. In [8], Wong and Janteng introduced 3 subclasses of T ; CsT(α, β), CcT(α, β) and CscT(α, β), consisting of analytic functions with negative coefficients and are respectively convex with respect to symmetric points, convex with respect to conjugate points and convex with respect to symmetric conjugate points. Here, α and β are to satisfy certain constraints. This paper extends the result in [8] to other properties namely growth and extreme points.
format	Article
author	Wong See Jiuon Aini Janteng
author_facet	Wong See Jiuon Aini Janteng
author_sort	Wong See Jiuon
title	Classes with Negative Coefficients and Convex with Respect to Other Points
title_short	Classes with Negative Coefficients and Convex with Respect to Other Points
title_full	Classes with Negative Coefficients and Convex with Respect to Other Points
title_fullStr	Classes with Negative Coefficients and Convex with Respect to Other Points
title_full_unstemmed	Classes with Negative Coefficients and Convex with Respect to Other Points
title_sort	classes with negative coefficients and convex with respect to other points
publisher	HIKARI Ltd
publishDate	2008
url	https://eprints.ums.edu.my/id/eprint/35854/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/35854/2/FULL%20TEXT.pdf https://eprints.ums.edu.my/id/eprint/35854/
_version_	1772812707043475456
score	13.244745

Classes with Negative Coefficients and Convex with Respect to Other Points

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