scholarly journals Differential sandwich theorem for certain class of analytic functions associated with an integral operator

2020 ◽  
Vol 65 (4) ◽  
pp. 487-494
Author(s):  
Luminita-Ioana Cotirla ◽  
Adriana Catas
Keyword(s):  
Analytic Function ◽  
Integral Operator ◽  
Analytic Functions ◽  
Differential Subordination ◽  
First Order ◽  
Sandwich Theorem ◽  
Differential Subordination And Superordination

In this paper we obtain some applications of first order differential subordination and superordination result involving an integral operator for certain normalized analytic function.

Strong subordination and superordination with sandwich-type theorems using integral operators

2021 ◽  
Vol 66 (4) ◽  
pp. 667-675
Author(s):  
Parviz Arjomandinia ◽  
◽  
Rasoul Aghalary ◽  
Keyword(s):  
Integral Operator ◽  
Analytic Functions ◽  
Integral Operators ◽  
Differential Subordination ◽  
Sandwich Type ◽  
Differential Subordination And Superordination ◽  
Strong Differential Subordination ◽  
Nonlinear Integral Operator

The notions of strong differential subordination and superordination have been studied recently by many authors. In the present paper, using these concepts, we obtain some preserving properties of certain nonlinear integral operator defined on the space of normalized analytic functions in $\mathbb{D}\times\overline{\mathbb{D}}$. The sandwich-type theorems and consequences of the main results are also considered.

scholarly journals Subordination and Superordination Results for Normalized Analytic Functions Associated with Frasin Operator

2019 ◽  
pp. 37-49
Author(s):  
Abbas Kareem Wanas ◽  
Sibel Yalçin
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Differential Subordination ◽  
Open Unit ◽  
Open Unit Disk ◽  
First Order ◽  
Differential Subordination And Superordination

In this paper, we derive some applications of first order differential subordination and superordination results involving Frasin operator for analytic functions in the open unit disk. Also by these results, we obtain sandwich results. Our results extend corresponding previously known results.

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.

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 Some applications of a differential subordination

1999 ◽  
Vol 22 (3) ◽  
pp. 649-654 ◽  
Author(s):  
Yong Chan Kim ◽  
H. M. Srivastava
Keyword(s):  
Analytic Function ◽  
Integral Operator ◽  
Starlike Functions ◽  
Differential Subordination

A number of interesting criteria were given by earlier workers for a normalized analytic function to be in the familiar class𝔖*of starlike functions. The main object of the present paper is to extend and improve each of these earlier results. An application associated with an integral operator𝔉c(c>−1)is also considered.

Results of differential subordination for a unified subclass of analytic functions defined using generalized Ruscheweyh derivative operator

2019 ◽  
Vol 12 (03) ◽  
pp. 1950035
Author(s):  
Ritu Agarwal ◽  
G. S. Paliwal ◽  
Parany Goswami
Keyword(s):  
Analytic Functions ◽  
Differential Subordination ◽  
Derivative Operator ◽  
Sandwich Theorem ◽  
Ruscheweyh Derivative Operator ◽  
Ruscheweyh Derivative ◽  
Principle Of Subordination ◽  
Coefficient Inequalities ◽  
Distortion Theorems

In this paper, we introduce a unified subclass of analytic functions by making use of the principle of subordination, involving generalized Ruscheweyh Derivative operator [Formula: see text]. The properties such as inclusion relationships, distortion theorems, coefficient inequalities and differential sandwich theorem for the above class have been discussed.

scholarly journals Some Applications of Second-Order Differential Subordination on a Class of Analytic Functions Defined by Komatu Integral Operator

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Serap Bulut
Keyword(s):  
Integral Operator ◽  
Analytic Functions ◽  
Differential Subordination ◽  
Second Order ◽  
New Class

We introduce a new class of analytic functions by using Komatu integral operator and obtain some subordination results.

scholarly journals On Sandwich Theorems Results for Certain Univalent Functions Defined by Generalized Operators

2021 ◽  
pp. 2376-2383
Author(s):  
Waggas Galib Atshan ◽  
Aqeel Ahmed Redha Ali
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Univalent Functions ◽  
Differential Subordination ◽  
Open Unit ◽  
Open Unit Disk ◽  
Differential Subordination And Superordination

In this present paper, we obtain some differential subordination and superordination results, by using generalized operators for certain subclass of analytic functions in the open unit disk. Also, we derive some sandwich results.

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