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العنوان
Properties of some classes of analytic functions associated with different operators /
المؤلف
Maklouf, Aisha Abdel-Atef Hussain.
هيئة الاعداد
باحث / عـائشة عبـداللطيف حسين مخلوف
مشرف / محـمد كمـال عبدالسلام عـوف
مشرف / عـديلــة عـثـمـان مصطفـــى
باحث / عـائشة عبـداللطيف حسين مخلوف
الموضوع
Mathematics. Analytic functions.
تاريخ النشر
2016.
عدد الصفحات
90 p. ;
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات (المتنوعة)
تاريخ الإجازة
1/1/2016
مكان الإجازة
جامعة المنصورة - كلية العلوم - قسم الرياضيات
الفهرس
Only 14 pages are availabe for public view

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from 120

Abstract

The purpose of this thesis is to study some properties for certain classes of univalent functions defined in the open unit disc , where C is the complex plane. These classes are defined by using Hadamard product (or convolution). Also, we study properties for classes of univalent meromorphic functions and p-valent meromorphic functions defined in the punctured unit disc These classes are defined by using differential operators. This thesis consists of four Chapters. Chapter 1. This chapter is an introductory chapter and contains basic concepts, definitions and preliminary results which are essential for completing the results and techniques used in subsequent chapters. Chapter 2. We define and study the classes, by using convolution, we obtain modified Hadamard products and properties associated with generalized fractional calculus operators for functions in the class, also we obtain distortion theorems, radii of close-to-convexity, starlikeness and convexity, closure theorems and modified Hadamard products for functions of the class Chapter 3. By using convolution, we defined the classes with varying arguments of coefficients, we study coefficient estimates, distortion theorems and extreme points, for functions in these classes Chapter 4. we defined the classes and of meromorphic starlike and convex functions by Frasin-Darus operator, respectively, also we introduce and study new classes of meromorphic p-valent functions and ) of meromorphic p-valent functions with fixed second coefficient. We obtain distortion theorems, convex linear combinations, integral transforms and Hadamard products, for functions in the classes the classes and, we obtain some properties for functions in the classes and.