Goh, Jiun Shyan (2011) Class of convex functions of order ÃŸ 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 (Unpublished)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 ÃŸ with respect to conjugate points, denoted as CcÃŸ, (A, B), 1 < B<Aâ‰¤1 and0<ÃŸâ‰¤1. For determining the properties of the function f(z) âˆˆ CcÃŸ, (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) âˆˆ CcÃŸ, (A, B).
Item Type:  Academic Exercise 

Uncontrolled Keywords:  class of convex, mathematical induction, distortion theorem, 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:  18 May 2016 05:34 
Last Modified:  30 Oct 2017 02:42 
URI:  http://eprints.ums.edu.my/id/eprint/13172 
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