scholarly journals Certain Integral Operators of Analytic Functions

Mathematics ◽  
2021 ◽  
Vol 9 (20) ◽  
pp. 2586
Author(s):  
Alina Alb Lupaş ◽  
Loriana Andrei
Keyword(s):  
Differential Operator ◽  
Analytic Functions ◽  
Integral Operators ◽  
Convolution Product ◽  
Sălăgean Operator ◽  
Salagean Operator

In this paper, two new integral operators are defined using the operator DRλm,n, introduced and studied in previously published papers, defined by the convolution product of the generalized Sălăgean operator and Ruscheweyh operator. The newly defined operators are used for introducing several new classes of functions, and properties of the integral operators on these classes are investigated. Subordination results for the differential operator DRλm,n are also obtained.

ON SOME SANDWICH THEOREMS OF ANALYTIC FUNCTIONS INVOLVING NOOR-SALAGEAN OPERATOR

2020 ◽  
Vol 9 (10) ◽  
pp. 8455-8467
Author(s):  
W. G. Atshan ◽  
A. A. R. A. A. R. Ali
Keyword(s):  
Analytic Functions ◽  
Sălăgean Operator ◽  
Salagean Operator

scholarly journals On Multivalent Analytic Functions Considered by a Multi-Arbitrary Differential Operator in a Complex Domain

Axioms ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 315
Author(s):  
Najla M. Alarifi ◽  
Rabha W. Ibrahim
Keyword(s):  
Differential Operator ◽  
Analytic Functions ◽  
Integral Operators ◽  
Upper And Lower Bounds ◽  
Fractional Operator ◽  
Convolution Operators ◽  
Linear Convolution ◽  
Fractional Differential Operator ◽  
Fractional Differential ◽  
Special Case

(1) Background: There is an increasing amount of information in complex domains, which necessitates the development of various kinds of operators, such as differential, integral, and linear convolution operators. Few investigations of the fractional differential and integral operators of a complex variable have been undertaken. (2) Methods: In this effort, we aim to present a generalization of a class of analytic functions based on a complex fractional differential operator. This class is defined by utilizing the subordination and superordination theory. (3) Results: We illustrate different fractional inequalities of starlike and convex formulas. Moreover, we discuss the main conditions to obtain sandwich inequalities involving the fractional operator. (4) Conclusion: We indicate that the suggested class is a generalization of recent works and can be applied to discuss the upper and lower bounds of a special case of fractional differential equations.

ON A SUBCLASS OF ANALYTIC FUNCTIONS WITH FIXED FINITELY MANY COEFFICIENTS BASED ON SALAGEAN OPERATOR AND MODIFIED SIGMOID FUNCTION

2021 ◽  
Vol 10 (6) ◽  
pp. 2807-2820
Author(s):  
M.O. Oluwayemi ◽  
Olubunmi A. Fadipe Joseph ◽  
Sh. Najafzadeh
Keyword(s):  
Analytic Functions ◽  
Sigmoid Function ◽  
Geometric Properties ◽  
New Family ◽  
Sălăgean Operator ◽  
Salagean Operator

A new family of analytic functions involving sigmoid function defined as $ T_\gamma(\lambda, \beta, \alpha, \mu, c_m)\subset T_\gamma(\lambda, \beta, \alpha, \mu)$ are established. Certain geometric properties of the class are obtained.

Properties of the Salagean Operator

1998 ◽  
Vol 5 (4) ◽  
pp. 361-366
Author(s):  
Li Jian Lin ◽  
Shigeyoshi Owa
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
Sălăgean Operator ◽  
Salagean Operator

Abstract The object of the present paper is to show the properties of the Salagean operator for analytic functions in the open unit disk. The main results obtained here extend and improve the earlier results obtained by several authors.

scholarly journals Neighborhoods of certain classes of analytic functions with negative coefficients

2006 ◽  
Vol 2006 ◽  
pp. 1-6 ◽  
Author(s):  
M. K. Aouf
Keyword(s):  
Analytic Functions ◽  
Sălăgean Operator ◽  
Salagean Operator ◽  
Special Cases ◽  
Inclusion Relations

By making use of the familiar concept of neighborhoods of analytic functions, the author proves several inclusion relations associated with the(n,δ)-neighborhoods of various subclasses defined by Salagean operator. Special cases of some of these inclusion relations are shown to yield known results.

scholarly journals A New Class of Analytic Functions Defined by Using Salagean Operator

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
R. M. El-Ashwah ◽  
M. K. Aouf ◽  
A. A. M. Hassan ◽  
A. H. Hassan
Keyword(s):  
Analytic Functions ◽  
Extreme Points ◽  
Distortion Theorem ◽  
Partial Sums ◽  
Coefficient Estimates ◽  
Integral Means ◽  
New Class ◽  
Sălăgean Operator ◽  
Salagean Operator ◽  
Fractional Calculus Operators

We derive some results for a new class of analytic functions defined by using Salagean operator. We give some properties of functions in this class and obtain numerous sharp results including for example, coefficient estimates, distortion theorem, radii of star-likeness, convexity, close-to-convexity, extreme points, integral means inequalities, and partial sums of functions belonging to this class. Finally, we give an application involving certain fractional calculus operators that are also considered.

Differential sandwich theorems for analytic functions defined by Sălăgean operator

2009 ◽  
Vol 58 (3) ◽  
pp. 419-426
Author(s):  
Mohamed K. Aouf ◽  
Adela O. Mostafa
Keyword(s):  
Analytic Functions ◽  
Sălăgean Operator ◽  
Salagean Operator
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