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Sharp Coeffcient Estimates,Distortion And Growth Properties For Certain Subclasses Of Univalent Functions

Posted on:2017-06-05Degree:MasterType:Thesis
Country:ChinaCandidate:W J LiFull Text:PDF
GTID:2310330485477028Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
In this thesis, we investigate the interesting properties of some subclasses of univalent analytic functions. The full text is composed of three chapters.In chapter 1, we briefly introduce the relevant background knowledge about the development of the univalent function, and some definitions, notations in this thesis.In chapter 2, we recommend and discuss the four new subclasses of univalent functions, and obtain coefficient estimates, the distortion and growth properties,which can cover and generalize the corresponding results before.In chapter 3, we study several subclasses of univalent functions. Among them,we define two well-represented subclasses, and obtain the coefficient estimates. The results can cover the previous conclusions.On the basis of some known results, the article do deeper research. The results unify and improve the corresponding results in terms of content and form. Though work of this paper, we have further knowledge for some properties of some important subclasses of univalent functions.
Keywords/Search Tags:Univalent function, Starlike function, close-to-convex function, Subordination principle, Coefficient bounds, Distortion and growth properties
PDF Full Text Request
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