Ekram E. Ali
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View article: Geometric Properties for Subclasses of Multivalent Analytic Functions Associated with q-Calculus Operator
Geometric Properties for Subclasses of Multivalent Analytic Functions Associated with q-Calculus Operator Open
This paper presents new subclasses of multivalent analytic functions defined through the q-derivative operator and examines their inclusion properties. By employing the Jackson q-derivative, we construct generalized operators that encompas…
View article: Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function
Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function Open
The findings of this study are connected with geometric function theory and were acquired using subordination-based techniques in conjunction with the Hurwitz–Lerch Zeta function. We used the Hurwitz–Lerch Zeta function to investigate cert…
View article: Geometric Attributes of Analytic Functions Generated by Mittag-Leffler Function
Geometric Attributes of Analytic Functions Generated by Mittag-Leffler Function Open
This study examines the necessary requirements for some analytic function subclasses, especially those associated with the generalized Mittag-Leffler function, to be classified as univalent function subclasses that are determined by partic…
View article: Fuzzy Treatment for Meromorphic Classes of Admissible Functions Connected to Hurwitz–Lerch Zeta Function
Fuzzy Treatment for Meromorphic Classes of Admissible Functions Connected to Hurwitz–Lerch Zeta Function Open
Fuzzy differential subordinations, a notion taken from fuzzy set theory and used in complex analysis, are the subject of this paper. In this work, we provide an operator and examine the characteristics of meromorphic functions in the punct…
View article: Application on Fuzzy Third-Order Subordination and Superordination Connected with Lommel Function
Application on Fuzzy Third-Order Subordination and Superordination Connected with Lommel Function Open
This work is based on the recently introduced concepts of third-order fuzzy differential subordination and its dual, third-order fuzzy differential superordination. In order to obtain the new results that add to the development of the newl…
View article: Third-Order Fuzzy Subordination and Superordination on Analytic Functions on Punctured Unit Disk
Third-Order Fuzzy Subordination and Superordination on Analytic Functions on Punctured Unit Disk Open
This work’s theorems and corollaries present new third-order fuzzy differential subordination and superordination results developed by using a novel convolution linear operator involving the Gaussian hypergeometric function and a previousl…
View article: Majorization Problems for Subclasses of Meromorphic Functions Defined by the Generalized q-Sălăgean Operator
Majorization Problems for Subclasses of Meromorphic Functions Defined by the Generalized q-Sălăgean Operator Open
Using the generalized q-Sălăgean operator, we introduce a new class of meromorphic functions in a punctured unit disk U∗ and investigate a majorization problem associated with this class. The principal tool employed in this analysis is the…
View article: Properties for Close-to-Convex and Quasi-Convex Functions Using q-Linear Operator
Properties for Close-to-Convex and Quasi-Convex Functions Using q-Linear Operator Open
In this work, we describe the q-analogue of a multiplier–Ruscheweyh operator of a specific family of linear operators Iq,ρs(ν,τ), and we obtain findings related to geometric function theory (GFT) by utilizing approaches established through…
View article: Investigation of New Optical Solutions for the Fractional Schrödinger Equation with Time-Dependent Coefficients: Polynomial, Random, Trigonometric, and Hyperbolic Functions
Investigation of New Optical Solutions for the Fractional Schrödinger Equation with Time-Dependent Coefficients: Polynomial, Random, Trigonometric, and Hyperbolic Functions Open
The fractional Schrödinger equation with time-dependent coefficients (FSE-TDCs) is taken into consideration here. The mapping method and the (G′/G)-expansion method are applied to generate new bright solutions, kink solutions, dark optical…
View article: Abundant Elliptic, Trigonometric, and Hyperbolic Stochastic Solutions for the Stochastic Wu–Zhang System in Quantum Mechanics
Abundant Elliptic, Trigonometric, and Hyperbolic Stochastic Solutions for the Stochastic Wu–Zhang System in Quantum Mechanics Open
In this article, we look at the stochastic Wu–Zhang system (SWZS) forced by multiplicative Brownian motion in the Itô sense. The mapping method, which is an effective analytical method, is employed to investigate the exact wave solutions o…
View article: Application of Fuzzy Subordinations and Superordinations for an Analytic Function Connected with q-Difference Operator
Application of Fuzzy Subordinations and Superordinations for an Analytic Function Connected with q-Difference Operator Open
This paper extends the idea of subordination from the theory of fuzzy sets to the geometry theory of analytic functions with a single complex variable. The purpose of this work is to define fuzzy subordination and illustrate its main chara…
View article: A study of generalized distribution series and their mapping properties in univalent function theory
A study of generalized distribution series and their mapping properties in univalent function theory Open
This paper deals with the study of some classes of analytic functions in the open unit disk defined by using subordinations and connected with the distribution series, and these new classes reduces to some inequalities involving the first …
View article: APPLICATION OF PEROV FIXED POINT ON MODIFIED ABC COUPLED MODEL OF IMPULSIVE EQUATIONS IN HIGH-FRACTIONAL ORDER
APPLICATION OF PEROV FIXED POINT ON MODIFIED ABC COUPLED MODEL OF IMPULSIVE EQUATIONS IN HIGH-FRACTIONAL ORDER Open
This study investigates a coupled model of high-order fractional differential equations (FDEs) using a modified Atangana–Baleanu–Caputo (mABC) operator, incorporating impulsive effects and a novel class of initial value conditions. We esta…
View article: The second Hankel determinant and the Fekete-Szegö functional for a subclass of analytic functions by using the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.svg" display="inline" id="d1e24"><mml:mi>q</mml:mi></mml:math>-Sălăgean derivative operator
The second Hankel determinant and the Fekete-Szegö functional for a subclass of analytic functions by using the -Sălăgean derivative operator Open
The current study’s researchers create a new family of analytic functions in the open unit disk Λ by generalizing the q-difference operator. Our study lays a foundational understanding of the behavior of this functions. We establish sharp …
View article: Subclass of analytic functions on q-analogue connected with a new linear extended multiplier operator
Subclass of analytic functions on q-analogue connected with a new linear extended multiplier operator Open
Using a new linear extended multiplier $q$-Choi-Saigo-Srivastava operator $D_{\alpha ,\beta }^{m,q}(\mu ,\tau )$ we define a subclass $\Theta _{\alpha,\beta }^{m,q}(\mu ,\tau ,N,M)$ subordination and the newly defined $q$-analogue of the C…
View article: On m-Negative Sets and Out Mondirected Topologies in the Human Nervous System
On m-Negative Sets and Out Mondirected Topologies in the Human Nervous System Open
Using the monophonic paths in the theory of directed graphs, this paper constructs a new topology called the out mondirected topology, which characterizes the graphs that induce indiscrete or discrete topology. We give and study some of th…
View article: Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function
Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function Open
The notion of the fuzzy set was incorporated into geometric function theory in recent years, leading to the emergence of fuzzy differential subordination theory, which is a generalization of the classical differential subordination notion.…
View article: Convolution Results with Subclasses of p-Valent Meromorphic Function Connected with q-Difference Operator
Convolution Results with Subclasses of p-Valent Meromorphic Function Connected with q-Difference Operator Open
Applying the operator of q-difference, we examine the convolution properties of the subclasses MSζ,qr,p(A,B) and MKζ,qr,p(A,B) of p-valent meromorphic functions defined in the punctured open-unit disc. We derived specific inclusion feature…
View article: Fuzzy Differential Subordination for Classes of Admissible Functions Defined by a Class of Operators
Fuzzy Differential Subordination for Classes of Admissible Functions Defined by a Class of Operators Open
This paper’s findings are related to geometric function theory (GFT). We employ one of the most recent methods in this area, the fuzzy admissible functions methodology, which is based on fuzzy differential subordination, to produce them. T…
View article: Geometric Properties Connected with a Certain Multiplier Integral q−Analogue Operator
Geometric Properties Connected with a Certain Multiplier Integral q−Analogue Operator Open
The topic concerning the introduction and investigation of new classes of analytic functions using subordination techniques for obtaining certain geometric properties alongside coefficient estimates and inclusion relations is enriched by t…
View article: Fuzzy Subordination Results for Meromorphic Functions Connected with a Linear Operator
Fuzzy Subordination Results for Meromorphic Functions Connected with a Linear Operator Open
The concept of subordination is expanded in this study from the fuzzy sets theory to the geometry theory of analytic functions with a single complex variable. This work aims to clarify fuzzy subordination as a notion and demonstrate its pr…
View article: New results about fuzzy $ \mathbf{\gamma } $-convex functions connected with the $ \mathfrak{q} $-analogue multiplier-Noor integral operator
New results about fuzzy $ \mathbf{\gamma } $-convex functions connected with the $ \mathfrak{q} $-analogue multiplier-Noor integral operator Open
The features of analytical functions were mostly studied using a fuzzy subset and a $ \mathfrak{q} $-difference operator in this study, as we investigate many fuzzy differential subordinations related to the $ \mathfrak{q} $-analogue multi…
View article: Subordinations and superordinations studies using $ q $-difference operator
Subordinations and superordinations studies using $ q $-difference operator Open
The results of this work belong to the field of geometric function theory, being based on differential subordination methods. Using the idea of the $ \mathfrak{q} $-calculus operators, we define the $ \mathfrak{q} $-analogue of the multipl…
View article: Inclusion properties for analytic functions of $ q $-analogue multiplier-Ruscheweyh operator
Inclusion properties for analytic functions of $ q $-analogue multiplier-Ruscheweyh operator Open
The results of this work have a connection with the geometric function theory and they were obtained using methods based on subordination along with information on $ \mathfrak{q} $-calculus operators. We defined the $ \mathfrak{q} $-analog…
View article: Applications of fuzzy differential subordination theory on analytic $ p $ -valent functions connected with $ \mathfrak{q} $-calculus operator
Applications of fuzzy differential subordination theory on analytic $ p $ -valent functions connected with $ \mathfrak{q} $-calculus operator Open
In recent years, the concept of fuzzy set has been incorporated into the field of geometric function theory, leading to the evolution of the classical concept of differential subordination into that of fuzzy differential subordination. In …
View article: An Application of Touchard Polynomials on Subclasses of Analytic Functions
An Application of Touchard Polynomials on Subclasses of Analytic Functions Open
The aim of this work is to discuss some conditions for Touchard polynomials to be in the classes TBb(ρ,σ) and TKb(ρ,σ). Also, we obtain some connection between Rη(D,E) and TKb(ρ,σ). Also, we investigate several mapping properties involving…
View article: Certain Results on Fuzzy p-Valent Functions Involving the Linear Operator
Certain Results on Fuzzy p-Valent Functions Involving the Linear Operator Open
The idea of fuzzy differential subordination is a generalisation of the traditional idea of differential subordination that evolved in recent years as a result of incorporating the idea of fuzzy set into the field of geometric function the…
View article: Applications of q-Calculus Multiplier Operators and Subordination for the Study of Particular Analytic Function Subclasses
Applications of q-Calculus Multiplier Operators and Subordination for the Study of Particular Analytic Function Subclasses Open
In this article, a new linear extended multiplier operator is defined utilizing the q-Choi–Saigo–Srivastava operator and the q-derivative. Two generalized subclasses of q—uniformly convex and starlike functions of order δ—are defined and s…
View article: Subclasses of p-Valent κ-Uniformly Convex and Starlike Functions Defined by the q-Derivative Operator
Subclasses of p-Valent κ-Uniformly Convex and Starlike Functions Defined by the q-Derivative Operator Open
The potential for widespread applications of the geometric and mapping properties of functions of a complex variable has motivated this article. On the other hand, the basic or quantum (or q-) derivatives and the basic or quantum (or q-) i…