A subclass of quasi-convex functions with respect to symmetric points

Aini Janteng and Suzeini Abdul Halim (2009) A subclass of quasi-convex functions with respect to symmetric points. Applied Mathematical Sciences, 3 (12). pp. 551-556. ISSN 1312-885X

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Abstract

Let Cs(A, B) denote the class of functions f which are analytic in an open unit disc D = {z: z < 1} and satisfying the condition 2(zf′(z))′/(f(z)-f(-z))′ ≺ 1+Az/1+Bz, -1 ≤ B < A ≤ 1, z ∈ D. In this paper, we consider the class Ks* (A, B) consisting of analytic functions f and satisfying (zf′(z))′/(g(z)-g(-z))′ ≺ 1+Az/1+Bz, g ∈ Cs(A,B), -1 ≤ B < A ≤ 1, z ∈ D. The aims of paper are to determine coefficient estimates, distortion bounds and preserving property for a certain integral operator for the class Ks* (A, B).

Item Type:	Article
Keyword:	Coeffcient estimates, Convex with respect to symmetric points, Quasi-convex with respect to symmetric points
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics > QA440-699 Geometry. Trigonometry. Topology
Department:	SCHOOL > School of Science and Technology
Depositing User:	ADMIN ADMIN
Date Deposited:	16 Mar 2011 14:43
Last Modified:	30 Jun 2021 23:36
URI:	https://eprints.ums.edu.my/id/eprint/1558

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