Search In this Thesis
   Search In this Thesis  
العنوان
Studying on some classes of holomorphic and meromorphic functions related to differential and integral operators /
المؤلف
Abo Raya, Radwa Nasr Al-din Mohamed Nasr.
هيئة الاعداد
باحث / رضوى نصر الدين محمد نصر ابو راية
مشرف / عديلة عثمان مصطفى
مشرف / سمر محمد مدين
مناقش / هاني أحمد عبدالرحمن
مناقش / فاطمة زيدان المتولي المتولي
الموضوع
Mathematics.
تاريخ النشر
2023.
عدد الصفحات
online resource (97 pages)
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات
تاريخ الإجازة
1/1/2023
مكان الإجازة
جامعة المنصورة - كلية العلوم - قــســـــم الرياضيات
الفهرس
Only 14 pages are availabe for public view

from 97

from 97

Abstract

The main objective of this thesis is to define and study properties for classes of univalent, multivalent and meromorphic functions defined in the open unit discand in the punctured unit disc where is the complex plan. These classes are defined by using some operators.chapter 1 is a preface that includes definitions which will be used in this thesis and it consists of five sections. Includes the notations and standard definitions of univalent and p-valent functions.Contains univalent and p-valent transformations , Hankel determinant.,some basic concepts of meromorphic univalent functions and definitions of subordination principle and definition and lemma of Wilf.n chapter 2 we defined some classes as linear combination of starlike and convex classes related to q-Catas operator. Also, by using subordination in the class of complex order is defined, we obtained initial coefficient bounds and second Hankel inequalities for the class.and obtained initial coefficient bounds and second Hankel inequalities for the class We obtained in chapter 3 coefficient estimate theorem and proved subordination results for functions in the class and By using q-Frasin operator we obtained coefficient estimate theorem and proved subordination results for functions.We obtained in chapter 4 coefficient estimate theorem for functions , Hadamard product theorem for functions and coefficient estimate theorem and some algebraic and geometric characterization for functions.We obtainin chapter 5 coefficient estimate theorem for functions in the classes and by using mittage operator we defined the class and obtained inclusion by using jack’s lemma.We obtained coefficient estimate theorem, some characterization and neighbourhood for functions.