Some subclasses of bi-univalent functions


Thesis Type: Postgraduate

Institution Of The Thesis: Bursa Uludağ University, Fen Bilimleri Enstitüsü, Mathematics, Turkey

Approval Date: 2014

Thesis Language: Turkish

Student: ŞAHSENE ALTINKAYA

Supervisor: Sibel Yalçın Tokgöz

Abstract:

This thesis consists of four chapters. In the first chapter; some of definitons and theorems about analytic functions which will be used later are introduced. Furthermore, basic properties are given belong to the class analytic and univalent functions in . In the second chapter; the class of analytic and bi-univalent functions is defined and some properties and examples of the class are given. In the third chapter; the some special subclasses of analytic and bi-univalent functions are worked and coefficient estimates are given for functions in these classes. In addition, theorems for these classes were examined. In the fourth chapter; all obtained results are discussed.