Third-Order Differential Subordination Results for Analytic Functions Associated with a Certain Differential Operator

被引：12

作者：

Darweesh, Amal Mohammed ^{[1
]}

Atshan, Waggas Galib ^{[2
]}

Battor, Ali Hussein ^{[1
]}

Lupas, Alina Alb ^{[3
]}

机构：

[1] Univ Kufa, Fac Educ Girls, Dept Math, Najaf 54001, Iraq

[2] Univ Al Qadisiyah, Coll Sci, Dept Math, Diwaniyah 58001, Iraq

[3] Univ Oradea, Dept Math & Comp Sci, Oradea 410087, Romania

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 01期

关键词：

analytic function; univalent function; differential operator; third-order; admissible functions; dominant; differential subordination;

D O I：

10.3390/sym14010099

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this research, we study suitable classes of admissible functions and establish the properties of third-order differential subordination by making use a certain differential operator of analytic functions in U and have the normalized Taylor-Maclaurin series of the form: f(z)=z+ n-ary sumation (n=2)& INFIN;a(n)z(n), (z & ISIN;U). Some new results on differential subordination with some corollaries are obtained. These properties and results are symmetry to the properties of the differential superordination to form the sandwich theorems.

引用

页数：15

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