A subclass of convex functions with respect to conjugate points

Lim, Wei Chon (2010) A subclass of convex functions with respect to conjugate points. Universiti Malaysia Sabah. (Unpublished)

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Abstract

This research consider U as a class consisting of functions, which are analytic in the open unit disc on the complex plane. Let S be the subclass of U that consisting of univalent functions f and normalized. If a function f ∊ S, then f has a Maclaurin series expansion. This research introduced the subclass of convex functions with respect to conjugate points, which is denoted as Cc(A, B), -1 ≤ < B ≤ 1. By using the mathematical induction, the coefficient estimates was obtained. The distortion theorems and integral operator were also obtained for f ∊ Cc (A, B).

Item Type: Academic Exercise
Uncontrolled Keywords: mathematical induction, coefficient estimates, distortion theorems, 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: 01 Aug 2016 01:38
Last Modified: 13 Nov 2017 02:48
URI: http://eprints.ums.edu.my/id/eprint/13706

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