Starlikeness and convexity properties for hypergeometric functions and their generalizations

Other Title(s)

الأشكال النجمية و المحدبة للاقترانات فوق الهندسية و تعميماتها

Dissertant

Ulaymat, Maryam Awdah

Thesis advisor

Frasin, Basim Arif

Comitee Members

Shatnawi, Wasfi Ahmad
Batayinah, Ahmad H. A.

University

Al albayt University

Faculty

Faculty of Sciences

Department

Department of Mathematics

University Country

Jordan

Degree

Master

Degree Date

2013

English Abstract

In this thesis, we study the class TS defined by generalized hypergeometric function F.

Furthermore, we give some usual properties of the geometric function theory such as the coefficient bound, neighborhood results and integral means inequalities for functions in this class TS A linear operator which is defined by means of the Hadamard product with a generalized hypergeometric function is also introduced.

Main Subjects

Mathematics

Topics

No. of Pages

55

Table of Contents

Table of contents.

Abstract.

Introduction.

Chapter One : Introduction and basic results.

Chapter Two : Subclass of analytic functions defined by dziok-srivastava operator.

Chapter Three : K-uniformly convex and k-starlike functions.

References.

American Psychological Association (APA)

Ulaymat, Maryam Awdah. (2013). Starlikeness and convexity properties for hypergeometric functions and their generalizations. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-417088

Modern Language Association (MLA)

Ulaymat, Maryam Awdah. Starlikeness and convexity properties for hypergeometric functions and their generalizations. (Master's theses Theses and Dissertations Master). Al albayt University. (2013).
https://search.emarefa.net/detail/BIM-417088

American Medical Association (AMA)

Ulaymat, Maryam Awdah. (2013). Starlikeness and convexity properties for hypergeometric functions and their generalizations. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-417088

Language

English

Data Type

Arab Theses

Record ID

BIM-417088