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 (Unpublished)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 |
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| Keyword: | mathematical induction, coefficient estimates, distortion theorems, integral operator |
| Subjects: | Q Science > QA Mathematics |
| Department: | SCHOOL > School of Science and Technology |
| Depositing User: | ADMIN ADMIN |
| Date Deposited: | 01 Aug 2016 09:38 |
| Last Modified: | 13 Nov 2017 10:48 |
| URI: | https://eprints.ums.edu.my/id/eprint/13706 |
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