Coefficient problems of bi-univalent functions


Thesis Type: Doctorate

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

Approval Date: 2019

Thesis Language: Turkish

Student: ŞAHSENE ALTINKAYA

Supervisor: Sibel Yalçın Tokgöz

Abstract:

This thesis consists of four chapters. The first chapter is the introduction section. In the second chapter; some of the definitions and theorems that will be used in the later sections of the thesis, which form the basis of complex analysis, are given. In the third chapter; new subclasses of bi-univalent functions have been introduced and studied. Coefficient estimates, Fekete-Szegö inequalities and Hankel determinant boundaries are obtained for functions belonging to these classes. In the fourth chapter; all obtained results are discussed.