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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]

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]

In this paper, we find the necessary and sufficient conditions and inclusion relations for normalized Mittag-Leffler-type Poisson distribution series to be in the class in the class Τ (λ, μ) of analytic functions with negative coefficients defined in the open unit disk. Further, we consider an integral operator related to Mittag-Leffler-type Poisson distribution series. Several corollaries and consequences of the main results are also considered. [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]

In this paper, we introduce the class WλQ,b,q(ϕ,Σ) of quasi-subordination defined by q--derivative operator, and obtain the Fekete-Szego coefficient bounds for functions belonging to this class. [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]

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 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]

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]

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]

The object of the present paper is to introduce and study new classes of meromorphically p-valent functions associated with the integral operators Pβpα and Qβpα. [ABSTRACT FROM AUTHOR]

In this paper, we obtain some applications of first order differential subordination and superordination results for higher-order derivatives of p-valent functions involving a linear operator. Some of our results generalize previously known results. [ABSTRACT FROM AUTHOR]

Differential subordination and superordination results are obtained for analytic functions in the open unit disk which are associated with the integral operator. These results are obtained by investigating appropriate classes of admissible functions. Sandwich-type results are also obtained. Some of the results established in this paper would provide extensions of those given in earlier works. [ABSTRACT FROM AUTHOR]

In this paper we introduce and study some new subclasses of starlike, convex, close-to-convex and quasi-convex functions defined by Salagean integral operator. Inclusion relations are established and integral operator Lc(f)(c 2 N = {1, 2, …}) is also discussed for these subclasses. [ABSTRACT FROM AUTHOR]

Some classes of analytic functions with negative coefficients are introduced which reduce in special case to the class of prestarlike functions. For these classes of coefficients estimates, extreme points, distortion theorems, closure theorems and modified Hadamard products of several functions belonging to the class Snλ [α, β, γ] We also obtain radii of close-to-convexity, starlikness, and convexity for functions belonging to the class Snλ[α, β, γ] and consider integral operators associated with functions belonging to the class Snλ[α, β, γ]. [ABSTRACT FROM AUTHOR]

Coefficient inequalities and distortion theorems are obtained for certain subclass of meromorphically close-to-convex functions with alternating coefficients. Further class preserving integral operators are obtained. [ABSTRACT FROM AUTHOR]

For certain analytic functions defined by convolution products, we obtain several applications of first order differential subordination and superordination, that generalize some previous results obtained by different authors. [ABSTRACT FROM AUTHOR]