Starlikeness Of Certain Integral Operators And Properties Of A Subclass Of Close To Convex Functions
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Date
2017-02
Authors
Chung, Yao Liang
Journal Title
Journal ISSN
Volume Title
Publisher
Universiti Sains Malaysia
Abstract
The present dissertation investigates the sufficient conditions for an analytic function
to be starlike in the open unit disk D and some properties of certain subclass of
close-to-convex functions. A brief survey of the basic concepts and results from the
classical theory of analytic univalent functions are given. Sufficient conditions for analytic
functions satisfying certain third-order differential inequalities to be starlike in D
is derived. As a consequence, conditions for starlikeness of functions defined by triple
integral operators are obtained. Connections are also made to earlier known results.
Furthermore, a new subclass of close-to-convex functions is introduced and studied.
Some interesting results are obtained such as inclusion relationships, an estimate for
the Fekete-Szegö functional for functions belonging to the class, coefficient estimates,
and a sufficient condition.
Description
Keywords
Starlikeness of certain integral operators , subclass of close to convex functions