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العنوان
Studies on some subclasses of univalent and multivalent functions defined by different operators /
المؤلف
Adwan, Eman Ahmed Mohamed.
هيئة الاعداد
باحث / إيمان أحمد محمد عدوان
مشرف / محمد كمال عبدالسلام عوف
مشرف / على شمندى عبدالواحد
مشرف / عديلة عثمان مصطفى
الموضوع
Hadamard product.
تاريخ النشر
2011.
عدد الصفحات
84 p. :
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات
تاريخ الإجازة
1/1/2011
مكان الإجازة
جامعة المنصورة - كلية العلوم - الرياضيات
الفهرس
Only 14 pages are availabe for public view

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Abstract

The purpose of this thesis is to introduce and study some new classes of analytic functions defined in the open unit disc These classes are defined by using differential operators, integral operators and Hadamard product. This thesis consists of four chapters. Chapter 1, In this chapter we will state some principles of important classes of complex analysis which represents the basic for the next chapters and consists of six sections. Chapter 2, This chapter consists of five sections. The first section is an introductory section and contains the definitions of the classes , , , and . Also, we introduce subordination results for the subclasses and . Also, we introduce coefficient estimates for functions in the classes , and and subordination results for the subclasses . Chapter 3, This chapter consists of two sections. The first is an introductory section and also, we obtain many interesting results of the quasi-Hadamard products of functions belonging to the class . Chapter 4, This chapter consists of three sections. The first section is an introductory section and contains definition and some primary lemmas which we will need to obtain our results. Subordination, superordination and sandwich results for analytic functions defined by using the integral operator .