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Meromorphic univalent functions with positive coefficients
Other Title(s)
الاقترانات الميرومورفية أحادية القيمة ذات المعاملات الموجبة
Dissertant
Thesis advisor
Comitee Members
al-Ashhab, Salim Shafiq
Mustafa, Jamal M..
Kittanah, Faud
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2007
English Abstract
In this thesis, we studied the class £*(a, p) of meromorphically starlike functions of order and type p.
We obtained coefficient bounds, distortion theorems, and radius of convexity estimates, convex linear combinations, integral transforms and Hadamard product properties. Furthermore, we obtained extreme points and the order of starlikeness and radii of convexity and starlikeness for function in the class £ [{^n}] of meromorphic univalent function with fixed second coefficient. Finally, we derived sufficient conditions for starlikeness and close-to-convexity of order a of meromorphic functions.
Main Subjects
No. of Pages
50
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : preliminaries.
Chapter Two : meromorphic univalent functions with positive coefficients.
Chapter Three : extreme points of classes of meromorphically univalent functions with fixed second coefficient.
Chapter Four : sufficient conditions for starlikeness and close-to-convexity of order.
References.
American Psychological Association (APA)
al-Ashqar, Bassam Abd Ahmad. (2007). Meromorphic univalent functions with positive coefficients. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321083
Modern Language Association (MLA)
al-Ashqar, Bassam Abd Ahmad. Meromorphic univalent functions with positive coefficients. (Master's theses Theses and Dissertations Master). Al albayt University. (2007).
https://search.emarefa.net/detail/BIM-321083
American Medical Association (AMA)
al-Ashqar, Bassam Abd Ahmad. (2007). Meromorphic univalent functions with positive coefficients. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321083
Language
English
Data Type
Arab Theses
Record ID
BIM-321083