Search In this Thesis
   Search In this Thesis  
العنوان
Some properties of classes of normalized analytic functions related to different operators /
المؤلف
Adwan, Eman Ahmed Mohamed.
هيئة الاعداد
باحث / ايمان احمد محمد عدوان
مشرف / محمد كمال عوف
مشرف / عديلة عثمان مصطفي
مناقش / محمد فتحي بركات
الموضوع
Univalent functions. Analytic functions. Harmonic functions. Differential operators. Varying arguments.
تاريخ النشر
2014.
عدد الصفحات
160 p. ;
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات
تاريخ الإجازة
1/1/2014
مكان الإجازة
جامعة المنصورة - كلية العلوم - Department of Mathematics
الفهرس
Only 14 pages are availabe for public view

from 160

from 160

Abstract

In this thesis, we introduce and study some new classes of analytic functions defined in the open unit disc . These classes are associated with different operators, various properties of subordination, superordination, sandwich theorems are obtaned. Also, we study some properties for harmonic functions and functions with varying arguments.
This thesis consists of five 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 seven sections.
Chapter 2, This chapter consists of four sections. The first section is an introductory section and contains the definitions of the classes
of meromorphic functions and using function of bounded boundary rotation Also, we introduce results for subclasses of meromorphic functions involving the operator . Also, properties of classes and associated with the operators .
Chapter 3, This chapter consists of three sections. The first is an introductory section and contains some primary lemmas which we will needed to obtain our results. Also, we Using subordination chain we obtain subordination, superordination and sandwich-type theorems for
Chapter 4, This chapter consists of three sections. The first section is an introductory section and contains definition of the classes and of harmonic functions and also, we obtain some properties for these classes.
Chapter 5, This chapter consists of four sections. The first section is an introductory section and contains definition of the classes
and, respectively, of function of varying arguments and also, we obtain some properties for these classes.