Class of convex functions of order ß with respect to conjugate points

Goh, Jiun Shyan (2011) Class of convex functions of order ß with respect to conjugate points. Universiti Malaysia Sabah. (Unpublished)

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Abstract

This study considers U to be a class of functions, w(z) which are analytic in the open unit disc D= (z: IzI < 1} on the complex plane and S to be its subclass, consisting of univalent and normalized functions. This study introduced the class of convex functions of order ß with respect to conjugate points, denoted as Ccß, (A, B), -1 < B<A≤1 and0<ß≤1. For determining the properties of the function f(z) ∈ Ccß, (A, B), firstly we obtain the coefficient estimates by using the mathematical induction. Besides, distortion theorem and integral operator are also obtained for function f(z) ∈ Ccß, (A, B).

Item Type: Academic Exercise
Uncontrolled Keywords: class of convex, mathematical induction, distortion theorem, integral operator
Subjects: Q Science > QA Mathematics
Divisions: SCHOOL > School of Science and Technology
Depositing User: Unnamed user with email storage.bpmlib@ums.edu.my
Date Deposited: 18 May 2016 05:34
Last Modified: 30 Oct 2017 02:42
URI: http://eprints.ums.edu.my/id/eprint/13172

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