A subclass of convex functions with respect to symmetric conjugate points

Lim, Joyce Chuen Shin (2010) A subclass of convex functions with respect to symmetric conjugate points. Universiti Malaysia Sabah. (Unpublished)

[img]
Preview
Text
ae0000002784.pdf

Download (6MB) | Preview

Abstract

This study considers U as a class consisting of functions w which are analytic in an open unit disk in the complex plane. Let S be the subclass of U consisting of univalent functions and normalized. If a function f E S, then f has a Maclaurin series expansion. By making use of the principle of subordination, the subclass of convex functions with respect to symmetric conjugate points is introduced. The coefficient estimates are determined by using the method of mathematical induction. The distortion theorem and integral operator are obtained for functions in the new class.

Item Type: Academic Exercise
Uncontrolled Keywords: subclass of convex, symmetric conjugate point, mathematical induction, distortion theorem, integral operator
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: SCHOOL > School of Science and Technology
Depositing User: Unnamed user with email storage.bpmlib@ums.edu.my
Date Deposited: 04 Mar 2016 02:36
Last Modified: 30 Oct 2017 01:47
URI: http://eprints.ums.edu.my/id/eprint/12953

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