Certain classes of analytic functions defined by ruscheweyh derivatives

Other Title(s)

بعض فئات من الاقترانات التحليلية المعرفة باستخدام مشتقات روشويه

Dissertant

Yusuf, Firas Ahmad Abd al-Latif

Thesis advisor

Frasin, Basim Arif

Comitee Members

Azar, Layth Imil
Masadah, Basim Salih
Batayinah, Ahmad H. A.

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 will introduce the two classes of analytic functions Em (q),y /; A, B), D(a, / l), which are defined by Ruscheweyh derivatives.

Throughout these classes we will find coefficient estimate, extreme points, distortion theorems and radius of starlikeness and convexity. Also we will find the order for certain analytic and univalent functions using the Ruscheweyh derivatives Dxf (z).

Furthermore; we investigate the mapping properties of J (

Finally, we determine the sufficient conditions for analytic functions defined using Ruscheweyh derivatives to be starlike of order J3 (0 < J3 < 1)

Main Subjects

Mathematics

Topics

No. of Pages

65

Table of Contents

Table of contents.

Abstract.

Introduction.

Chapter One : preliminaries.

Chapter Two : applications of ruscheweyh derivatives and hadamard product to analytic functions.

Chapter Three : some properties for certain classes of functions defined by ruscheweyh derivatives.

References.

American Psychological Association (APA)

Yusuf, Firas Ahmad Abd al-Latif. (2007). Certain classes of analytic functions defined by ruscheweyh derivatives. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321029

Modern Language Association (MLA)

Yusuf, Firas Ahmad Abd al-Latif. Certain classes of analytic functions defined by ruscheweyh derivatives. (Master's theses Theses and Dissertations Master). Al albayt University. (2007).
https://search.emarefa.net/detail/BIM-321029

American Medical Association (AMA)

Yusuf, Firas Ahmad Abd al-Latif. (2007). Certain classes of analytic functions defined by ruscheweyh derivatives. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321029

Language

English

Data Type

Arab Theses

Record ID

BIM-321029