Some properties of analytic functions defined by Carlson-Shaffer linear operator
Other Title(s)
بعض الخصائص للاقترانات التحليلية التي تعرف بمؤثر كارلسون-شيفر الخطي
Dissertant
al-Shubayl, Islam Atif Muhammad
Thesis advisor
Comitee Members
Azar, Layth Imil
Batayinah, Ahmad H. A.
al-Ruhayl, Ahmad
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2009
English Abstract
In 1984, Carlson and Shaffer introduced the linear operator L (a, c)f (z ) by using the Hadamard product of analytic functions.
In this thesis, we introduced the subclass LT(b,c,a,j3) with negative coefficients of analytic functions defined by the linear operator L(a, c)f (z) We proved various coefficient inequalities, distortion theorems, closure theorems, radii of close-to-convexity, starlikeness, and convexity for functions belonging to this class. Also, we derived new subordination results for functions in the class L (a, c, a, p) a LT (a, c, a, p).
Furthermore, univalence of a certain integral operator and some interesting properties involving the integral operators on the classes of complex order are obtained.
Finally, we obtained some properties of real part and argument estimates of analytic functions defined by the linear operator £ (a, c) f (z).
Main Subjects
Topics
No. of Pages
58
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : preliminaries.
Chapter Two : carlson-shaffer linear operator and its properties.
Chapter Three : subordination results and general integral operator.
Chapter Four : real part and argument properties.
References.
American Psychological Association (APA)
al-Shubayl, Islam Atif Muhammad. (2009). Some properties of analytic functions defined by Carlson-Shaffer linear operator. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321015
Modern Language Association (MLA)
al-Shubayl, Islam Atif Muhammad. Some properties of analytic functions defined by Carlson-Shaffer linear operator. (Master's theses Theses and Dissertations Master). Al albayt University. (2009).
https://search.emarefa.net/detail/BIM-321015
American Medical Association (AMA)
al-Shubayl, Islam Atif Muhammad. (2009). Some properties of analytic functions defined by Carlson-Shaffer linear operator. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321015
Language
English
Data Type
Arab Theses
Record ID
BIM-321015
