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العنوان
New properties for some classes of analytic functions defined by linear operators /
المؤلف
El-Desoky, Gehan El-Desoky Abo El-Yazyd.
هيئة الاعداد
باحث / جيهان الدسوقي أبواليزيد الدسوقي
مشرف / حنان السيد عوض درويش
مشرف / عواطف محمد عبدالغني شاهين
مناقش / رشوان احمد رشوان عزوز
مناقش / محمد حسين صالح
الموضوع
Linear operators. Differential equations, Partial. Partial differential operators..
تاريخ النشر
2020.
عدد الصفحات
p. 117 :
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات
تاريخ الإجازة
1/1/2020
مكان الإجازة
جامعة المنصورة - كلية العلوم - قسم الرياضيات
الفهرس
Only 14 pages are availabe for public view

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from 168

Abstract

ABSTRACT : The thesis is concerned with the introduction of many linear operators on univalent and other p-valent analytic functions defined in open unit disk, proof and study of many of the properties related to it. Chapter one: It is an introduction to some important and basic concepts related to the topic of the thesis. It begins with some basic concepts related to the types of functions. Also shed light on some of the written linear operators used in the thesis. Some previous studies in this field have also been covered. Chapter two: In this chapter we obtain an upper bound to the second Hankel determinant for class of analytic functions involving Generalized Noor integral operator and we define new class of analytic functions involving Srivastava- Owa-Ruscheweyh fractional derivative operator and derive bounds of the function |a₃-μa₂²| in this class. Chapter three : In this chapter, the coefficient bounds and the neighborhoods problem were proven to class of analytic functions with negative coefficients involving modified sigmoid function also we define a new class of functions with negative coefficients in the open unit disk and fixed finitely many coefficients. The coefficient theorm, the theorms of closure and the radius of convexity were found to this class. Chapter four : In this chapter, we investigate several properties for a new harmonic classes involving hadmard product of p-valent analytic functions in the open unit disc. We obtain coefficient bounds, distortion theorem, extreme points, convex compinations and integral operator for these classes. Chapter five: We consider the class which consisting of meromorphic univalent functions with a fixed point and with fixed second positive coefficient and drive several interesting properties as coefficient estimates, distortion theorems, radii of starlikeness and convexity and closure theorems in the class the results are generalized to families with finitely many fixed coefficients. Chapter six: We introduce new classes of meromorphically p-valent functions associated, respectively, with Jackson (i; j)-derivative and q-derivative on the punctured unit disk to investigate some special properties like, coefficient estimate, distortion bounds and radius of meromorphically p-valent starlikeness are obtained. We also establish some results concerning the convolution products and inclusion results.