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 (Unpublished)

[img]
Preview
Text
ae0000003089.pdf

Download (6MB) | Preview

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

Actions (login required)

View Item View Item

Browse Repository
Collection
   Articles
   Book
   Speeches
   Thesis
   UMS News
Search
Quick Search

   Latest Repository

Link to other Malaysia University Institutional Repository

Malaysia University Institutional Repository