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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]

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 study different properties for the new class TY λ2 (n, α, β, γ) of analytic starlike and convex functions associated with a generalization of q-Salagean operator. [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]

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]

The aim of this paper is to obtain coefficient estimates, distortion theorems, convex linear combinations and radii of close-to convexity, starlikenees and convexity for functions belonging to the subclass TSpλ(f, g, α β) of p-valent β-uniformaly starlike and convex functions. We consider integral operators and modi ed Hadamarad products of functions belonging to this subclass. [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]

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]

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]

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]

Making use of the Dziok-Srivastava operator, we introduce two classes of analytic functions and investigate convolution properties of these classes. Using convolution properties, we find the necessary and sufficient condition, coefficient estimate and inclusion properties of them. [ABSTRACT FROM AUTHOR]

In this paper we derive several subordination results for certain subclasses of uniformly starlike and convex functions defined by convolution. [ABSTRACT FROM AUTHOR]

Given the hypergeometric function F(a; b; c; z) = ∑n=0∞ (a)n(b)n/(c)n(1)n zn; we place conditions on a; b and c to guarante that zpF(a; b; c; z) will be in various subclasses of p-valent starlike and p-valent convex functions. Operators related to the hypergeometric function are also examined. [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]

Abstract. We introduce two subclasses T*(p, α, j) and C(p, α, j) (0 ⩽ α < p - j + 1, 1 ⩽ j ⩽ p, p ϵ N = {1, 2, …}) of p-valent starlike and p-valent convex functions with negative coefficents. In this paper we obtain coefficient inequalities, distortion theorems, extreme points and integral operators for functions belonging to the classes T*(p, α, j) and C(p, α, j). We also determine the radii of close-to-convexity and convexity for the functions belonging to the class T*(p, α, j). Also we obtain several results for the modified Hadamard products of functions belonging to the classes T*(p, α, j) and C(p, α, j). [ABSTRACT FROM AUTHOR]

Let Q (α) be the class of functions of the form f(z) = a-1⁄z + ∑k=0∞ akzk (a-1 ≠ 0) which are regular in the punctured disc U* = {z:0 < ∣z∣ < 1) and satisfying Re {(Dn+1 f (z))′⁄(Dn f (z)′) - 2} < -α, 0 ≤ α < 1, ∣z∣ < 1, and n ϵ N0 = {0, 1, 2, …}, where Dn f (z) = a-1⁄z + ∑k=2∞ knak-2zk-2. It is proved that Qn+1 (α) ⊂ Qn (α). Since Q0 9α) is the class of meromorphically convex function of order α(0 ≤ α < 1) the members of Qn (α) are meromorfically convex. Further property preserving integrals are considered. [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]

In this paper, we introduce and study some subclasses of p-valently analytic functions in the open unit disk U by applying the q-derivative operator and the fractional q-derivative operator in conjunction with the principle of subordination between analytic functions. For the Taylor-Maclaurin coefficients ... of each of these subclasses of p-valently analytic functions, we derive sharp bounds for the Fekete-Szegő functional given by ... Relevant connections of the results presented in this paper with those derived in earlier works are also considered. [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]