scholarly journals Differential Subordination and Superordination of Multivalent Functions Involving Differential Operator

2021 ◽  
Vol 32 (3) ◽  
pp. 26
Author(s):  
Huda Fawzi Isawi ◽  
Abdul Rahman S. Juma
Keyword(s):  
Differential Operator ◽  
Hadamard Product ◽  
Differential Subordination ◽  
Product Concept ◽  
Differential Subordination And Superordination

In the present work, we derive some properties of subordination and superordination results associated with the Hadamard product concept involving the composition of the differential operator.

scholarly journals Differential Sandwich Theorems for a Certain Class of Analytic Functions Defined by Differential Operator

2019 ◽  
pp. 209-220
Author(s):  
Abbas Kareem Wanas ◽  
Hala Abbas Mehai
Keyword(s):  
Differential Operator ◽  
Unit Disk ◽  
Analytic Functions ◽  
Hadamard Product ◽  
Differential Subordination ◽  
Open Unit ◽  
Open Unit Disk ◽  
First Order ◽  
Differential Subordination And Superordination

In this paper, we establish some applications of first order differential subordination and superordination results involving Hadamard product for a certain class of analytic functions with differential operator defined in the open unit disk. These results are applied to obtain sandwich results.

scholarly journals On Differential Subordination and Superordination for Univalent Function Involving New Operator

2022 ◽  
pp. 22-31
Author(s):  
Mustafa I. Hameed ◽  
Buthyna Najad Shihab
Keyword(s):  
Integral Operator ◽  
Hadamard Product ◽  
Univalent Functions ◽  
Differential Subordination ◽  
Linear Operators ◽  
Open Unit ◽  
Open Unit Disc ◽  
Third Order ◽  
Differential Subordination And Superordination ◽  
Shed Light

The goal of this paper is to investigate some of the features of differential subordination of analytic univalent functions in an open unit disc. In addition, it has shed light on geometric features such as coefficient inequality, Hadamard product qualities, and the Komatu integral operator. Some intriguing results for third-order differential subordination and superordination of analytic univalent functions have been installed. Then, using the convolution of two linear operators, certain results of third order differential subordination involving linear operators were reported. As a result, we use features of the Komatu integral operator to analyze and study third-order subordinations and superordinations in relation to the convolution. Finally, several results for third order differential subordination in the open unit disk using generalized hypergeometric function have been addressed using the convolution operator.

scholarly journals Differential Subordination and Superordination for a Generalized Differential Operator Involving Mittag-Leffler Function

2021 ◽  
Vol 45 (5) ◽  
pp. 699-708
Author(s):  
SUHILA ELHADDAD ◽  
◽  
MASLINA DARUS
Keyword(s):  
Differential Operator ◽  
Differential Subordination ◽  
Linear Operators ◽  
Derivative Operator ◽  
Sandwich Type ◽  
Differential Subordination And Superordination ◽  
Generalized Differential

Abstract. Owning to the importance and great interest of linear operators, a generalisation of linear derivative operator He m δ,p(α, β, a1, b1)f(z) is newly introduced in this study. The main objective of this paper is to investigate various subordination and superordination related to the aforementioned generalised linear derivative operator. Additionally, the resultant sandwich-type of this operator is also considered.

Differential sandwich theorems of p-valent functions defined by a certain linear operator

2016 ◽  
Vol 53 (2) ◽  
pp. 131-137
Author(s):  
Ping He ◽  
Defei Zhang
Keyword(s):  
Linear Operator ◽  
Analytic Functions ◽  
Differential Subordination ◽  
Sandwich Type ◽  
Differential Subordination And Superordination

In this paper we introduce differential subordination and superordination properties for certain subclasses of analytic functions involving certain linear operator, and obtain sandwich-type results for the functions belonging to these classes.

scholarly journals Starlikeness Condition for a New Differential-Integral Operator

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 694 ◽  
Author(s):  
Mugur Acu ◽  
Gheorghe Oros
Keyword(s):  
Differential Operator ◽  
Integral Operator ◽  
Differential Subordination

A new differential-integral operator of the form I n f ( z ) = ( 1 − λ ) S n f ( z ) + λ L n f ( z ) , z ∈ U , f ∈ A , 0 ≤ λ ≤ 1 , n ∈ N is introduced in this paper, where S n is the Sălăgean differential operator and L n is the Alexander integral operator. Using this operator, a new integral operator is defined as: F ( z ) = β + γ z γ ∫ 0 z I n f ( z ) · t β + γ − 2 d t 1 β , where I n f ( z ) is the differential-integral operator given above. Using a differential subordination, we prove that the integral operator F ( z ) is starlike.

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