Meromorphic univalent functions with positive coefficients

Other Title(s)

الاقترانات الميرومورفية أحادية القيمة ذات المعاملات الموجبة

Dissertant

al-Ashqar, Bassam Abd Ahmad

Thesis advisor

Frasin, Basim Arif

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

Mathematics

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