Study of Some Applications in Univalent Function Theory

الموضوعات

إحصاء

الملخص

The main aim of this thesis is to study some of applications in univalent function theory and obtain expected results . It includes studying class T(m)of normalizedanalytic functions in the open unit disk U={z∈C:│z│<1 } and class ∑ ofmeromorphic functions in the unit punctured disk〖 U〗^*={z∈C:0<│z│<1 } . Weintroduced and studied the subclasses R_λ^(γ,δ) (β,τ,σ,φ) of univalent function withnegative coefficients and K^* (σ,τ,S) of univalent meromorphic functions defined bynew linear operator I^(γ,δ) (c,b,λ) and differential operator D_(γ,δ)^S f(z) respectively.Weobtain some geometric properties from classes R_λ^(γ,δ) (β,τ,σ,φ) and K^* (σ,τ,S), such ascoefficient inequality , growth theorem and distortion theorem , we get radii ofstarlikeness , convexity and close-to-convexity of class R_λ^(γ,δ) (β,τ,σ,φ) the concept ofconvolution investigate and neighborhoods of the elements for the K^* (σ,τ,S) areobtained . Also, we studied of some results for differential subordination by generalizeddifferential operatorA_(μ,λ,τ)^η (α,β)f(z) . Also, we get the concept of Quasi-Subordinationand the estimates of the Fekete- Szego coefficient function│a_3-σa_2^2│ for functionsbelonging to classes N_(ρ,δ)^q (Φ) and 〖NH〗^q (δ,θ,ρ,Φ). By making use of the general lineroperator J_p^(s,σ) (d_i,k_j )f(z) on the KT_s (ξ,τ,δ,) harmonic univalent function we givesome properties like coefficient condition, distortion bounds ,extreme points,convolution and convex combinations. Also ,by utilizing generalization of theSrivastava- Attiya operator T_((δ_m 〖),(ϑ〗_(k)),d)^(t,a,δ) f(z) on two classes NK(δ,ϑ,t,η,σ) andNR(δ,ϑ,t,η,σ)for harmonic univalent functions we get sufficient coefficient conditionsof the classes ,in addition to that ,we obtain properties like distortion bounds andextremepoints, so this proves that the classes studied in this section one is closedunder convolution and convex combination.

روابط وملفات

التعريف والنوع

رقم الوثيقة

f5fe1bef-0832-4c06-a743-4a05f93d1f8e

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

pdf text

أسماء الملفات

2306189_1.docx

بيانات النشر

ترجمة العنوان

دراسة بعض التطبيقات في نظرية الدوال احادية التكافؤ

ألقاب المؤلفين

[{"name_ar":". Abdul Rahman Salman Juma ","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"Teba Rzaij Sabah","title_ar":"اعداد","title_en":"Preparation"}]

اللغة

English

المصدر والدورية

اسم المصدر

Study of Some Applications in Univalent Function Theory

المحتوى والصفحات

عدد الصفحات

0

كلمات الباحثين

Univalent Function

إشراف وإعداد

الإشراف

. Abdul Rahman Salman Juma

الإعداد

Teba Rzaij Sabah

الاقتباسات الببليوغرافية