Classes with Negative Coefficients and Convex with Respect to Other Points

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

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Abstract

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.

Item Type:	Article
Keyword:	Analytic , Univalent , Functions starlike with respect to symmetric points
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics > QA299.6-433 Analysis Q Science > QA Mathematics > QA1-939 Mathematics > QA440-699 Geometry. Trigonometry. Topology
Department:	FACULTY > Faculty of Science and Natural Resources
Depositing User:	ABDULLAH BIN SABUDIN -
Date Deposited:	14 Jul 2023 15:14
Last Modified:	14 Jul 2023 15:14
URI:	https://eprints.ums.edu.my/id/eprint/35854

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