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Title: On Bazilevic and close-to-convex functions
Author: El-Ashwah, R. M.
Awarding Body: University College of Swansea
Current Institution: Swansea University
Date of Award: 1986
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Denote by S the class of functions f which are regular, normalised and univalent in the unit disc. The subclasses of S, consisting of functions which are Convex, Starlike, Close-to-Convex and Bazilevic, are denoted by C, S, K and B(α,β), respectively. In Chapter 1 known results for the class S and its subclasses, which are needed in the thesis, are listed. The class B1(α) is the subject of investigation in Chapter 2 in which results concerning coefficients and length-area estimates are given. Growth estimates for the logarithmic derivative and the second integral mean of the derivative are also considered. Further, a subclass of B_1(α) is introduced. Distortion theorems and other properties for this subclass are studied. The final chapter introduces two new classes of univalent functions, Starlike with respect to different points. These classes are subsets of K. Sharp coefficients results and area problems are given. Finally, other new classes of close-to-convex functions are introduced and several properties are proved including some results concerning integral operators.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available