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 (Unpublished)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 |
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| Keyword: | class of convex, mathematical induction, distortion theorem, integral operator |
| Subjects: | Q Science > QA Mathematics |
| Department: | SCHOOL > School of Science and Technology |
| Depositing User: | ADMIN ADMIN |
| Date Deposited: | 18 May 2016 13:34 |
| Last Modified: | 30 Oct 2017 10:42 |
| URI: | https://eprints.ums.edu.my/id/eprint/13172 |
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