Classes of harmonic function defined by subordination


Thesis Type: Postgraduate

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

Approval Date: 2018

Thesis Language: Turkish

Student: SERKAN ÇAKMAK

Supervisor: Sibel Yalçın Tokgöz

Abstract:

This thesis consists of four chapters. Brief information about the study is given in the first chapter. In the second chapter; some of definitions and theorems which will be used later are stated. In the third chapter; new classes of harmonic functions defined with subordination are introduced. Necessary and sufficient conditions, radii of starlikeness and convexity and compactness are investigated. Furthermore, coefficients estimates, distortion theorems are obtained for these class of functions. In the fourth chapter; all obtained results are discussed.