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العنوان
A Study On Properties for Some Subclasses of Analytic Functions /
المؤلف
Madar, Entesar Mohammed Ahmed.
هيئة الاعداد
باحث / Entesar Mohammed Ahmed Madar
مشرف / H. E. Darwish
مشرف / A. Y. Lashin
مشرف / R. M. Al-Ashwah
الموضوع
الدوال. Mathematics.
تاريخ النشر
2022.
عدد الصفحات
135 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات (المتنوعة)
تاريخ الإجازة
27/6/2022
مكان الإجازة
جامعة دمياط - كلية العلوم - الرياضيات
الفهرس
Only 14 pages are availabe for public view

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Abstract

In this thesis, we introduce new classes of analytic function defined by using some differential and integral operators and the Hadamard product in the open unit disc and study various properties of these classes. Also we study some properties for Bi-univalent function..
This thesis consists of five chapters:
Chapter 1: This chapter is an introductory chapter and contains basic concepts, definitions and preliminary results which are absolutely essential for completing the results and techniques used in subsequent chapters.
Chapter 2: In this Chapter, We introduce new subclasses of the function class ∑ of analytic and bi-univalent functions involving the q-derivative operator defined in the open unit disc and we introduce the Fekete-Szegö type coefficient inequalities associated with the k-th root transformation for some classes.
Chapter 3: In this Chapter, We obtained some properties of certain general classes of multivalent analytic functions with higher order derivatives in the open unit disk and we investigate majorization properties for certain classes of multivalent analytic functions defined by a generalized operator.
Chapter4: In this Chapter, We introduce the subclass of p-valent functions with fixed points. The coefficient inequalities, distortion theorems, radii of p-valent starlikeness and p-valent convexity and extreme points of these functions are determined and we introduce the subclass ), of p-valent functions associated with Bessel functions. Such results as inclusion relationships, convolution properties for this class are proved, coefficient estimates and certain integral perceiving properties are also established with this class.
Chapter 5: In this Chapter, We introduce the subclass , of meromorphically starlike functions with respect to k-symmetric points of complex order γ(γ≠0) in punctured open unit disk.