حول التبعية التفاضلية للدوال التحليلية أحادية ومتعددة التكافؤ
On Differential Subordination of Holomorphic Univalent and Multivalent Functions
- الباحث
- سيبال سعيد خليل
- المشرف
- عبدالرحمن سلمان جمعة
- الجامعة
- جامعة الموصل
- الكلية / القسم
- كلية علوم الحاسوب والرياضيات / الرياضيات
- الشهادة
- ماجستير
- السنة
- 2023
- لغة الرسالة
- انكليزي
- الكلمات المفتاحية
- Differential Subordination ; Holomorphic Functions ; Univalent Functions ; Multivalent Functions
Abstract
The aim of this thesis is the study the concept of differential subordination of holomorphic functions defined on the open unit disk { | | } at the complex plane . Furthermore, we have displayed some classes of univalent and multivalent functions related to differential subordination. Several interesting geometric properties are obtained quasi subordination and bi- univalent functions are also taken in consideration. In this study such that we have present of , and are subclasses of bi- univalent functions with got the coefficients | |and | | of Taylor-Maclaurin connected to quasi- subordination. Also, we have talked ) and are subclasses of bi- univalent functions defined by the multiplier operator in the open unite disk and we refined estimates for the functions in the new subclasses for the first two Taylor-Maclaurin coefficients, | | and | |. Also, we have studied the third differential subordination of multivalent functions and obtained the sandwich theorem and other geometric properties of superordination. Finally, geometric properties like, coefficient estimate, distortion and growth theorem, radii of starlikeness and convexity and extreme points of functions in subclass are also obtained.
طلب نسخة من الملف
الملفات غير منشورة على الموقع. اترك بياناتك وسيتواصل معك موظفو قسم الشؤون الثقافية والفنون لإرسال النسخة مجاناً.