# A. ShamandyMansoura University · Department of Mathematics

A. Shamandy

PhD-pure mathematics

## About

60

Publications

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## Publications

Publications (60)

In this paper, we introduce a new class of harmonic univalent functions de…ned by modi…ed Cata ; s operator. Coe¢ cient estimates, extreme points, distortion bounds and convex combination for functions belonging to this class are obtained and also for a class preserving integral operator. 2000 Mathematics Subject Classi…cation: 30C45.

In this paper we obtain some applications of theory of differential subordination, superordination and sandwich results for the classes of symmetric points associated with Dziok-Srivastava operator.

In this paper, we obtain some applications of theory of differential subordination, superordination and sandwich results involving an operator.

In this paper, we drive several interesting subordination results of analytic functions defined by convolution.

In this paper we introduce a new class of harmonic univalent functions defined by the Dziok-Srivastava operator. Coefficient estimates, extreme points, distortion bounds and convex combination for functions belonging to this class are obtained and also for a class preserving the integral operator.

In this paper, we introduce some classes of p-valent meromorphic functions associated with a new operator and to investigate various properties for these subclasses.

We introduce a new class of analytic functions with varying arguments in the open unit disc defined by the Salagean operator. The object of the present paper is to determine coefficient estimates, extreme points, and distortion theorems for functions belonging to the class .

We introduce two classes of -valent meromorphic functions associated
with a new operator and derive several interesting results for these classes.

In this paper we introduce and study some new subclasses of p-valent star-like, convex, close-to-convex and quasi-convex functions de…ned by generalized Srivastava-Attiya operator. Inclusion relationships are established and integral operator of functions in these subclasses is discussed.

In this paper we introduce a subclass Mp,q,s (α1; γ) of meromorphic multivalent starlike functions of order γ defined by Dziok and Srivastava operator. The main object of this paper is to investigate various important properties and characteristics for this class. Further, a property preserving integrals is considered.

In this paper, we define and investigate a subclass of univalent harmonic functions defined by Salagean integral operator with respect to symmetric points. We obtain coefficient conditions, extreme points, distortion bounds, convex combinations for this family of harmonic univalent functions.

In this paper, we obtain some applications of first order differential subordination and superordination results involving the operator J s,b λ,p for certain normalized p-valent analytic functions associated with that operator.

By making use of a general linear operator we introduce several new subclasses of multvalent meromorphic functions and investigate various inclusion relationships. Several interesting integral-preversing properties are also discussed.

In this present paper, we introduce and investigate each of the following new subclasses and hp(λ, ℓ;φ) as well as and of meromorphically p-valent functions, which is defined by means of a certain meromorphically p-modified version of the multiplier transformation. Such results as inclusion relationships, integral representations and convolution pr...

We introduce the subclass UT q,s ([α 1 ];α,β) of analytic functions defined by the Dziok-Srivastava operator. The object of the present paper is to determine Silvermen’s conjecture for the integral means inequality to this class.

Making use of Wright operator we introduce a new class of complex-valued harmonic functions with respect to symmetric points which are orientation preserving, univalent and starlike. We obtain coefficient conditions, extreme points, distortion bounds and convex combination.

Making use of linear operator we investigate some inclusion relationships and some argument properties of certain meromorphically p-valent functions.

In this paper we introduce a new class TS q,s ([α 1];b, β) of analytic functions in the open unit disc U = {z ∈ C: |z|<1} defined by Dziok-Srivastava operator with complex order. The object of the present paper is to determine coefficient estimates, extreme points, distortion theorems, the radii of close-to-convexity, starlikeness and convexity and...

In this paper, we drive several interesting subordination results of a certain class of analytic functions defined by convolution.
KeywordsAnalytic functions–Hadamard product–Subordination–Factor sequence

Making use of a differential operator, which is defined here by means of the Hadamard product (or convolution), we introduce the class Σ n p (α1, β1; λ) of meromorphically p-valent convex functions. The main object of this paper is to investigate various important properties and characteristics for this class. Further, a property preserving integra...

The purpose of this paper is to derive some subordination and superordination results for multivalent functions involving certain differential operator.

The purpose of the present paper is to introduce several new classes of meromorphically univalent functions which are defined here by means of a linear operator. Also, we study various inclusion properties of these classes.

In this paper, we obtain some applications of first order differential subordination and superordination results involving Wright's generalized hypergeo-metric function defined by certain p-valent analytic functions. 2000 Mathematics Subject Classification: 30C45.

The purpose of this paper is to obtain many interesting results about the quasi-Hadamard products of uniformly convex functions defined by Dziok-Srivastava operator belonging to the class T q,s ([α 1 ]; α, β).

In this paper we derive some subordination and superordination results for certain normalized analytic functions in the open unit disc, which are acted upon by a class of extended multiplier transformations. Relevant connections of the results, which are presented in this paper, with various known results are also considered.

We introduce two classes of analytic functions related to conic domains using a new linear multiplier Dziok-Srivastava operator D λ,ℓ n·q,s , where n∈ℕ 0 ={0,1,⋯}, q≤s+1, q,s∈ℕ 0 , 0≤α<1, λ≥0, ℓ≥0. Basic properties of these classes such as coefficient bounds are studied. Various known or new special cases of our results are also pointed out. For th...

In this paper, we give some results for differential subordination and superordination for multivalent functions involving the integral operator I p α .

If a nearly natural population system is deviated from its equilibrium, an important task of conservation ecology may be to control it back into equilibrium. In the paper a trophic chain is considered, and control systems are obtained by changing certain model parameters into control variables. For the equilibrium control two approaches are propose...

The main object of the present paper is to investigate some interesting properties of certain meromorphically multivalent functions associated with the extended multiplier transformation.

In this paper we introduce several new classes of p-valent functions defined by Dziok-Raina operator and investigate various inclusion properties of these classes. Some interesting applications involving classes of integral operators are also considered.

Using the Wright’s generalized hypergeometric function, we introduce a new class

In this paper, we study different applications of the theory of dif-ferential subordination and superordination results for certain normalized analytic functions in the open unit disc, which are acted upon by a class of extended multi-plier transformation. 2000 Mathematics Subject Classification: 30C45.

By using the techniques of Briot-Bouquet differential subor-dination, we study various properties and characteristics of the subclass V λ p,q,s (α1; β 1 ; A, B) of multivalent analytic functions.

Making use of the principle of differential subordination, we investigate some inclusion relationships of certain subclasses of multivalent analytic functions associated with the Wright generalized hypergeometric function.

In 1999, Kanas and Ronning introduced the classes of functions starlike and convex, which are normalized with f(w)=f ' (w)-1=0 and w is a fixed point in U. The aim of this paper is to continue the investigation of the univalent normalized with f(w)=f ' (w)-1=0, where w is a fixed point in U by using the method of Briot–Bouquet differential subordin...

The object of the present paper is to investigate some inclusion relationships and a number of other properties of several subclasses of multivalent analytic functions, which are defined here by using the Wrigth generalized hypergeometric functions. Relevant connections of the results presented here with those obtained in earlier works are pointed...

The purpose of the present paper is to derive some inclusion properties and argument estimates of certain normalized analytic functions in the open unit disk, which are defined by means of a class of multiplier transformations. Furthermore, the integral preserving properties in a sector are investigated for these multiplier transformations.

We derive several interesting subordination results for a new class of analytic function defined by the integral operator J s,b defined in terms of the Hurwitz-Lerch zeta function.

We introduce and investigate two new subclasses of p-valent analytic functions of complex order, defined by using a new differential operator. Also we obtain coefficient estimates and inclusion relationships involving the neighborhoods of p-valent analytic functions.

In this paper we derive several subordination results for certain classes of analytic functions defined by convolution. A number of interesting applications of the subordination results are also considered.

By using the subordination theorem for analytic functions we derive interesting subordination results for certain class of analytic functions defined by the Al-Oboudi operator.

Making use of a differential operator, which is defined here by means of the Hadamard product (or convolution), we introduce the class Σ p n (f,g;λ,β) of meromorphically p-valent functions. The main object of this paper is to investigate various important properties and characteristics for this class. Also a property preserving integrals is conside...

In the paper simple trophic chains of the type resource-producer-primary consumer are considered. For an analysis of the dynamic state monitoring of this system, the concept of observability of mathematical systems theory is proposed. Using a linearization method of non-linear observation systems, biologically interpretable sufficient conditions ar...

A Leslie type continuous time model is considered in which the population is divided into a finite number of age groups. Harvesting is modelled in terms of a control system. For this model a general consistence theorem is obtained and the existence of an optimal harvesting strategy is proved.

In this paper we consider the class V(n,λ,A,B) consisting of analytic functions with varying arguments. The object of the present paper is to show coefficient estimates and some distortion theorems for f(z) in the class V(n,λ,A,B).

We introduce a subclass Kn+p-1*(A, B) of analytic and p-valent functions with negative coefficients. Coefficient estimates, some properties, distortion theorems and closure theorems of functions belonging to the class Kn+p-1*(A, B) are determined. Also we obtain radii of close-to-convexity, starlikeness and convexity for the class Kn+p-1*(A, B). We...

We introduce the subclass $T^*(A,B,n,a)$ ($-1 \le A < B\le 1$, $0 < B \le 1$, $n \ge 0$, and $0\le\alpha <1$) of analytic func;tions with negative coefficients by the operator $D^n$. Coefficient estimates, distortion theorems, closure theorems and radii of close-to-convexety, starlikeness and convexity for the class $T^*(A,B,n,a)$ are determined. W...

The object of the present paper is to prove distortion theorems for certain fractional integral operator of functions in the subclasses S0() a n d C0() of analytic and univalent functions in the unit disc U.

The object of the present paper is to derive several interesting proper- ties of the class $P_n(\alpha, \beta, \gamma)$ consisting of analytic and univalent functions with neg- ative coefficients. Coefficient estimates, distortion theorems and closure theorems of functions in the class $P_n(\alpha, \beta, \gamma)$ are determined. Also radii of clos...

The object of the present paper is to obtain closure theorems and integral operators of functions in the classes S () and C () (0 < 1 0 < < 1 0 1) consisting of analytic and univalent functions with negative coeecients. Furthermore, some interesting distortion inequalities for certain fractional integral operator are shown.

In this paper, we obtain some applications of the theory of differ-ential subordination and superordination results involving the operator J λ,p s,b and other linear operators for certain normalized p-valent analytic functions associated with that operator.

## Projects

Projects (2)