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In this paper, we define the general class Hp (λ, α, γ) of analytic and p-valent functions with negative coefficients. We investigate various important properties and characteristies of this class. Also, modified Hadamard products for functions in this class are obtained. Finally, a family of integral operators is considered [ABSTRACT FROM AUTHOR]

We establish coefficient bounds for functions from the subclasses of p-valent starlike and p-valent convex functions defined by higher-order derivatives and complex order introduced with the help of a certain nonhomogeneous Cauchy–Euler differential equation with higher-order derivatives. Relevant connections of some of our results with the results obtained earlier are provided. [ABSTRACT FROM AUTHOR]

We obtain subordination, superordination and sandwich-preserving new theorems for certain integral operators defined on multivalent functions. The sandwich-type theorem for these integral operators is also derived. Moreover, our results extend some earlier results. Combining these new theorems with some previous related results, we give interesting subordination and superordination consequences for a wide class of analytic integral operators. [ABSTRACT FROM AUTHOR]

The purpose of the present paper is to investigate some argument properties for certain analytic functions in the open unit disk. The main results presented in here generalize some previous those concerning starlike function of reciprocal of order beta and strongly starlike functions. [ABSTRACT FROM AUTHOR]

In this paper, we defined a class of analytic functions defined by Hadamard product and Atshan and Rafid operator and obtained some subordinating results for functions in this class. [ABSTRACT FROM AUTHOR]

In this paper, using q − derivative operator, we define the class Σ q , v ∗ (n , α , β , λ) of meromorphic univalent functions and obtain coefficient estimates, distortion, closure theorems, modified Hadamard products, some radii for functions in this class and family of integral operators. Further, we determine partial sums results. [ABSTRACT FROM AUTHOR]

Here in our paper, we present two new subclasses of multivalent analytic functions and complex order by using q–p-valent Cătaş operator. Also we obtain coefficient estimates and consequent inclusion relationships involving the N i , δ p , q (f) -neighbourhood of these classes. [ABSTRACT FROM AUTHOR]

The object of the present paper is to obtain subordination, superordination and sandwich-type results related to a certain family of integral operators defined on the space of multivalent functions in the open unit disk. Also we point out relevant connections of the results presented here with those obtained in earlier. [ABSTRACT FROM AUTHOR]

The object of the present paper is to obtain subordination, superordination and sandwich-type results related to a certain family of integral operators defined on the space of multivalent functions in the open unit disk. Also we point out relevant connections of the results presented here with those obtained in earlier. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to introduce some characterizations of (Gaussian) hypergeometric function to be in various subclasses of uniformly starlike and uniformly convex functions. Operators related to hypergeometric functions are also considered. Some of our results correct previously known results. [ABSTRACT FROM AUTHOR]

By applying a fractional q-calculus operator, we define the subclasses Snα(γ, β, b, q)and Gnα(γ, β, b, q) of normalized analytic functions with complex order and negative coefficients. Among the results investigated for each of these function classes, we derive their associated coefficient estimates, radii of close-to-convexity, starlikeness and convexity, extreme points, and growth and distortion theorems. [ABSTRACT FROM AUTHOR]

The object of the present paper is to obtain subordination, superordination and sandwich-type results related to a certain family of integral operators defined on the space of multivalent functions in the open unit disk. Also we point out relevant connections of the results presented here with those obtained in earlier. [ABSTRACT FROM AUTHOR]

In this paper we investigate some applications of the differential subordination and superordination of classes of admissible functions associated with an integral operator. Additionally, differential sandwich-type results are obtained. [ABSTRACT FROM AUTHOR]

In this paper using the principal of subordination we obtain sharp bounds for some classes of p-valent functions defined by convolution. [ABSTRACT FROM AUTHOR]

In this paper, we obtain coefficient inequalities for certain subclass of meromorphic univalent function with fixed second coefficient defined by Ruscheweyh derivative. Also we have shown that this subclass is closed under arithmetic mean and convex linear combinations. Lastly we have obtained the radius of convexity. [ABSTRACT FROM AUTHOR]

In this paper, the class ∑λ (α, β &#947,;) of univalent meromorphic functions de- fined by Ruscheweyh derivative in the punctured unit disk U* is introduced. We study some results concerning the partial sums of meromorphic univalent starlike functions and meromorphic univalent convex functions. [ABSTRACT FROM AUTHOR]

In this paper we investigate a family of linear operator defined on the space of p-valent meromorphic functions. By making use of this linear operator, we introduce and investigate several new subclasses of p-valent starlike, p-valent convex, p-valent close-to-convex and p-valent quasi-convex meromorphic functions. Also we establish some inclusion relationships associated with the aforementioned linear operator. Some interesting integral-preserving properties are also considered. [ABSTRACT FROM AUTHOR]

In this paper, we obtain the Fekete-Szegö inequalities for the functions of complex order defined by convolution. Also, we find upper bounds for the second Hankel determinant |a2a4 - a2³| for functions belonging to the class Sbγ (g(z); A,B). [ABSTRACT FROM AUTHOR]

By making use of a generalized integral operator, we introduce and investigate two new subclasses of p-valent analytic functions. Apart from deriving coefficient bounds and distortion inequalities for each of these function classes, we obtain several inclusion relations associated with the (n, δ)-neighborhoods of subclasses of p-valent analytic functions and their derivatives, which is defined by means of a certain general family of non-homogenous Cauchy-Euler differential equations. [ABSTRACT FROM AUTHOR]

By making use of a generalized integral operator, we introduce and investigate two new subclasses of p-valent analytic functions. Apart from deriving coefficient bounds and distortion inequalities for each of these function classes, we obtain several inclusion relations associated with the (n, δ)-neighborhoods of subclasses of p-valent analytic functions and their derivatives, which is defined by means of a certain general family of non-homogenous Cauchy-Euler differential equations. [ABSTRACT FROM AUTHOR]

In this paper, a class of Goodman-Rønning-type multivalent harmonic functions based on Dziok-Srivastava operator is considered. Coefficient bounds, representation theorem, distortion and extreme points for functions of this class are obtained. [ABSTRACT FROM AUTHOR]

In the present paper, by making use of the differential subordination and superordination results of Miller and Mocanu, certain classes of admissible functions are determined so that subordination as well as superordination implications of functions associated with an integral operator hold. Additionally, differential sandwich-type result is obtained. [ABSTRACT FROM AUTHOR]

In this paper, we obtain the Fekete-Szegö inequalities for the functions of complex order defined by convolution. Also, we find upper bounds for the second Hankel determinant ǀa2a4 - a32ǀ for functions belonging to the class Sγp (g(z); A,B). [ABSTRACT FROM AUTHOR]

In this paper, we introduce a class of p-valent meromorphic functions associated with linear operator and derive several interesting results of this class. [ABSTRACT FROM AUTHOR]

In the present paper we study convolution properties for subclasses of univalent harmonic functions in the open unit disc and obtain some basic properties such as coefficient characterization and extreme points. [ABSTRACT FROM AUTHOR]

In this paper, we defined two classes S*p(n, λ, A, B) and Kp(n, λ, A, B) of meromorphic p-valent functions associated with a new linear operator. We obtained convolution properties for functions in these classes. [ABSTRACT FROM AUTHOR]

Two-parameters function H(n, λ z) involving the Feltt multiplier operator is introduced. Subordination properties as well as sufficient conditions for starlikeness are also obtained [ABSTRACT FROM AUTHOR]

In this paper we use the principle of subordination between analytic functions and the convolution to introduce the class S(f; g; A;B;α β). We obtain coefficient inequalities, distortion theorems, extreme points, radii of close to convexity, starlikeness and convexity for this class and modified Hadamard product of several functions belonging to it. Also, we investigate several distortion inequalities involving fractional calculus. Finally, we obtain integral means for functions belonging to this class. [ABSTRACT FROM AUTHOR]

In this paper we introduce a new class of meromorphic multivalent functions Σ*p(k, α, β) with positive coefficients. The main object of the present paper is to prove some properties for functions belonging to the class Σ*p(k, α, β). [ABSTRACT FROM AUTHOR]

In this paper, we drive several interesting subordination results of a certain classes of analytic functions defined by Dziok-Srivastava operator. [ABSTRACT FROM AUTHOR]

We investigate convolution properties and coefficients estimates for two classes of analytic functions involving the q-derivative operator defined in the open unit disc. Some of our results improve previously known results. [ABSTRACT FROM AUTHOR]

There are many articles in the literature dealing with differential subordination problems for analytic functions in the unit disk, and only a few articles deal with the above problems in the upper half-plane. In this paper, we aim to derive several differential subordination results for analytic functions in the upper half-plane by investigating certain suitable classes of admissible functions. Some useful consequences of our main results are also pointed out. [ABSTRACT FROM AUTHOR]

Making use of the linear operator Dλ,pm, we obtain some argument properties of meromorphically p-valent functions. Also, we derive the integral preserving properties in a sector. [ABSTRACT FROM AUTHOR]

In this paper we introduce a unified representation of starlike and convex harmonic functions with negative coefficients, related to uniformly starlike and uniformly convex analytic functions. We obtain extreme points, distortion bounds, convolution conditions and convex combinations for this family. [ABSTRACT FROM AUTHOR]

In this paper, we obtain some applications of first order differential subordination and superordination results defined by Dzoik-Srivastava operator and other linear operators for certain normalized analytic functions. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new subclass of analytic p-valent functions defined using convolution and investigate many properties of functions of this class using Jack's lemma. [ABSTRACT FROM AUTHOR]

In this paper, some subordination and superordination results for higher-order derivatives of certain p-valent analytic functions in the open unit disc are derived. Relevant connection of the results, which are obtained in this paper, with various known results are also considered. [ABSTRACT FROM AUTHOR]

We introduce two new subclasses of biunivalent functions which are defined by using the Dziok-Srivastava operator. Furthermore, we find estimates on the coefficients |α2| and |α3| for functions in these new subclasses. [ABSTRACT FROM AUTHOR]

By making use of the new integral operator Rα,y β,p, we introduce and investigate several new subclasses of p-valent starlike, p-valent convex, p-valent close-to-convex, and p-valent quasi-convex functions. In particular, we establish some inclusion relationships associated with the aforementioned integral operators. Some of the results established in this paper would provide extensions of those given in earlier works. [ABSTRACT FROM AUTHOR]

We study some inclusion relationships and intergral-preserving properties for subclasses of the meromorphic multivalent function class ∑p associated with a special linear operator. [ABSTRACT FROM AUTHOR]

In this investigation, we obtain some applications of first order differential subordination and superordination results involving the multiplier transformation and Al-Oboudi operator for certain normalized analytic functions in the open unit disc. [ABSTRACT FROM AUTHOR]

In this paper we obtain the necessary and sufficient conditions for generalized Bessel functions of the first kind zup(z) to be in the classes S(b, λ, β) and R(b, λ, β) of analytic functions with complex order and also give the necessary and sufficient conditions for z(2 - up(z)) to be in the classes TS(b, λ, β) and TR(b, λ, β). Furthermore, we give the necessary and sufficient conditions for J(k, c) to be in the class TR(b, λ, β) provided that the function f is in the class Rτ(A, B). Finally, we give conditions for the integral operator G(k, c, z) = ... (2 - up(t))dt to be in the class TR(b, λ, β). Several corollaries and consequences of the main results are also obtained. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to obtain some subordination, superordination and sandwich results for higher-order derivatives of p-valent functions involving a generalized differential operator. Some of our results generalize previously known results. [ABSTRACT FROM AUTHOR]

In this paper, we obtain some applications of first order differential subordination and superordination results involving the operator Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed for certain normalized p-valent analytic functions associated with that operator. [ABSTRACT FROM AUTHOR]

By making use of the principle of differential subordination, we investigate several inclusion relationships and other interesting properties of certain subclasses of meromorphically multivalent functions which are defined by certain linear operator involving the generalized hypergeometric function. [ABSTRACT FROM AUTHOR]

In this paper we derive several subordination results for certain new classes of analytic functions defined by using Salagean operator. [ABSTRACT FROM AUTHOR]

The authors establish certain results concerning the quasi-Hadamard product of analytic and p-valent functions with negative coe?cients analogous to the results due to Vinod Kumar (J. Math. Anal. Appl. 113(1986), 230-234 and 126(1987), 70-77). [ABSTRACT FROM AUTHOR]

In this paper we introduce a new subclass Mn(p, α, β) of meromorphically p-valent functions with positive coefficients in U* = {z : z ϵ C and 0 < ∣z∣ < 1} by using a linear operator Dn. The main object of this paper is to investigate the various important properties and characteristics of the class Mn(p, α, β). We also derive many results for the Hadamard products of functions belonging to the class Mn(p, α, β). [ABSTRACT FROM AUTHOR]

Making use of a differential operator and a given p-valent analytic function g the authors introduce and study two new classes TCg (p, q, n, α) and TCg (p, q, n,α) of p-valent analytic functions with negative coefficients. They also indicate relevant connections of these classes with sevesral other families of multivalent functions which were studied by earlier workers as well as new. [ABSTRACT FROM AUTHOR]

In this paper, we obtain distortion theorem and the Hadamard products of functions belonging the class Ω+(p; α, β, γ, A, B, λ) of meromorphic functions with positive and missing coefficients. Also some properties of neighborhoods of functions in the class Ω(α, β, γ, A, B, λ) are investigated. [ABSTRACT FROM AUTHOR]