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العنوان
Studies on certain classes of analytic functions defined by linear operators /
المؤلف
Abed Al-Juboori, Omar Mohammed.
هيئة الاعداد
باحث / عمر محمد عبدالجبوري
مشرف / محمد كمال عبدالسلام عوف
مشرف / عديله عثمان مصطفي
مناقش / محمد فتحي بركات
الموضوع
Functions of complex variables. Analytic functions. Mathematics.
تاريخ النشر
2016.
عدد الصفحات
95 p. ;
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
تحليل
تاريخ الإجازة
1/1/2016
مكان الإجازة
جامعة المنصورة - كلية العلوم - Department of Mathematics
الفهرس
Only 14 pages are availabe for public view

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Abstract

The purpose of this thesis, is to define and study certain classes of analytic (univalent ) functions defined by using differential operator and the Hadamardproduct in the open unit disc We study various properties of these clsses and also, we study some properties for functions with varying arguments of coefficients defined in. 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 class by using Sălăgean operator and Sekine operator, we study various analytic and geometric for the class, we obtain coefficient estimates, some inclusion relations, distortion theorems, integral operator, modified Hadamard products and applications of fractional calculus operator for functions belonging to this class. Chapter 3. We define and study the class, we study various analytic and geometric for the class, we obtain coefficient estimates, distortion theorems, closure theorems and radii of close-to-convexity, starlikeness, and convexity for functions belonging to this class, modified Hadamard products, Quasi-Hadamard products, distortion theorems for fractional calculus functions and integral operator. Chapter 4: We define and study the classes VCR (g,λ,A,B),V(Φ,Ψ,λ,γ) and V(g,A,B,α,β), of functions with varying arguments of coefficients and we obtain some properties.