Subclasses of prestarlike functions with negative coefficients
Other Title(s)
فئات جزئية من الاقترانات ما قبل النجمية ذات المعاملات السالبة
Dissertant
Talafihah, Yusuf Abd al-Aziz Juwayid
Thesis advisor
Comitee Members
Azar, Layth Imil
al-Batayinah, Ahmad Heil A.
Kittanah, Faud
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2007
Arabic Abstract
في هذه الرسالة، قدمنا الاقترانات ما قبل النجمية من الرتبة a حيث (0 ≤ a < 1)، أيضا قمنا بإيجاد حدود المعاملات و نظريات التحديد و القيم القصوى للفئة R [a] من الاقترانات ما قبل النجمية ذات المعاملات السالبة.
بالإضافة غلى ذلك، قدمنا الفئة L*a (ʎ, β) من الاقترانات التي تعرف باستخدام اقترانات ما قبل النجمية حيث قمنا بتحديد حدود المعاملات و بعض النتائج المتعلقة بمضروب هادامارد.
و أخيرا، قدمنا الفئات الجزئية R [a, β] و C [a, β]، و قمنا ببرهان نظريات التحديد، و التكامل الكسري لاقترانات هذه الفئات الجزئية.
بالإضافة إلى ذلك، قمنا بإعطاء نظريات التحديد التي تتضمن التكامل الكسري اقترانات الفئات R [a, β] و C [a, β].
English Abstract
In this thesis, we introduced the class of prestrike functions of order and we obtained coefficient bounds, distortion theorems and extreme points for the class of prestrike functions of order with negative coefficients.
Furthermore, we introduced the class of functions defined by prestrike functions and then we determined coefficient estimates and some results for Hadamard product for functions in this class.
Finally, we introduced the subclasses, and proved various distortion theorems for the fractional calculus of functions in these subclasses.
Furthermore, distortion theorems involving a generalized fractional integral operator for functions in the subclasses and are also given.
Main Subjects
No. of Pages
73
Table of Contents
Abstract.
Table of contents.
Chapter one : Preliminaries.
Chapter two : Prestarlike functions.
Chapter three : A class of prestarlike functions defined by using hadamard roduct.
Chapter four : The class α prestarlike functions of order β.
References.
American Psychological Association (APA)
Talafihah, Yusuf Abd al-Aziz Juwayid. (2007). Subclasses of prestarlike functions with negative coefficients. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-302978
Modern Language Association (MLA)
Talafihah, Yusuf Abd al-Aziz Juwayid. Subclasses of prestarlike functions with negative coefficients. (Master's theses Theses and Dissertations Master). Al albayt University. (2007).
https://search.emarefa.net/detail/BIM-302978
American Medical Association (AMA)
Talafihah, Yusuf Abd al-Aziz Juwayid. (2007). Subclasses of prestarlike functions with negative coefficients. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-302978
Language
English
Data Type
Arab Theses
Record ID
BIM-302978
