Class of convex functions of order ß with respect to conjugate points

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 (Unpublished)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
Uncontrolled Keywords:class of convex, mathematical induction, distortion theorem, integral operator
Subjects:Q Science > QA Mathematics
Divisions:SCHOOL > School of Science and Technology
ID Code:13172
Deposited By:IR Admin
Deposited On:18 May 2016 13:34
Last Modified:18 May 2016 13:34

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