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العنوان
Studies on Properties of Certain Classes of
Analytic Functions with Applications of
Differential Subordination /
المؤلف
ElSayed، Ghada Mohamed Abd Elsattar.
هيئة الاعداد
باحث / غادة محمد عبد الستار السيد
مشرف / كمال احمد حسن
مشرف / عديلة عثمان مصطفي
مشرف / عديلة عثمان مصطفي
الموضوع
qrmak Differential Subordination.
تاريخ النشر
2020
عدد الصفحات
169 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات (المتنوعة)
تاريخ الإجازة
1/2/2020
مكان الإجازة
جامعة الفيوم - كلية العلوم - الرياضيات
الفهرس
Only 14 pages are availabe for public view

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from 169

Abstract

The purpose of this thesis is to define and study properties for certain classes of univalent and
multivalent functions defined in the open unit disc and in the punctured
unit disc where is the complex plane. These classes are defined by using
some linear operators, integral operators, Hadamard product (or convolution) and
difference operators. Also, we define classes of uniformly convex and starlike functions. Further,
let and respectively, to denote the subclasses of which have real parts
bounded in the mean on by bounded boundary rotation at most and bounded
argument at most (see [119] and [129]). Also, we obtain subordination, superordination
properties, sandwich results for classes associated with the operators and
Distortion theorems for Classes of multivalent Non-Bazilevic analytic functions defined by linear
operator are also obtained, we obtain also some preserving subordination results for classes of
p-valent meromorphic functions associated with different operators. Furthermore, we study
some inclusion relations for subclasses associated with a linear operator and we obtain
necessary and sufficient conditions of Gaussian hypergeometric functions to be in various
subclasses of univalent and uniformly classes. Finally, Fekete-Szegö inequalities for classes of
non-Bazilevič functions with complex.