Starlikeness Of Certain Integral Operators And Properties Of A Subclass Of Close To Convex Functions

dc.contributor.author	Chung, Yao Liang
dc.date.accessioned	2019-08-01T02:20:01Z
dc.date.available	2019-08-01T02:20:01Z
dc.date.issued	2017-02
dc.description.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.	en_US
dc.identifier.uri	http://hdl.handle.net/123456789/8546
dc.language.iso	en	en_US
dc.publisher	Universiti Sains Malaysia	en_US
dc.subject	Starlikeness of certain integral operators	en_US
dc.subject	subclass of close to convex functions	en_US
dc.title	Starlikeness Of Certain Integral Operators And Properties Of A Subclass Of Close To Convex Functions	en_US
dc.type	Thesis	en_US

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