The class of analytic functions with positive real part and some of its related classes


Thesis Type: Postgraduate

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

Approval Date: 2017

Thesis Language: Turkish

Student: ŞÜKRAN KORKMAZ

Supervisor: Sibel Yalçın Tokgöz

Abstract:

This thesis consists of three chapters. First chapter includes the basic definitions and theorems which will be used in the next chapters. Second chapter defines the class 𝒫 of analytic functions with positive real part in the unit disk 𝕌. Besides, basic features of this class including distortion theorems, subordination principle, coefficient equations are given. Last chapter, the main part of the thesis, defines some subclasses of the class 𝒫 and gives some features of the functions in these subclasses.