Let Σp denote the class of functions normalized by f(z) = z−p + ∞ ∑ n=1 anz n−p (p ∈ N), which are analytic and p-valent in 0 < |z| < 1. Making use of a linear operator, which is defined here by the generalized hypergeometric function, we introduce some new subclasses of the meromorphically p-valent function class Σp and investigate their inclusion relationships. Mathematics Subject Classificat...

In this paper we introduce the class B(p, n, μ, α) of analytic and p-valent functions to obtain some sufficient conditions and some angular properties for functions belonging to this class.

By making use of an integral operator defined in an open unit disk, we introduce and study certain new subclasses of p-valent functions. Inclusion relationships are established and integral preserving properties of functions in these subclasses are discussed.

In the present investigation, we give some interesting results related with neighborhoods of p−valent functions. Relevant connections with some other recent works are also pointed out.

In this paper we obtain some subordination and superordination results for p-valent functions by using a certain operator. 2000 Mathematics Subject Classification:30C45.

We introduce a subclass Mp(λ, μ,A,B) of p-valent analytic functions and derive certain properties of functions belonging to this class by using the techniques of Briot-Bouquet differential subordination. Further, the integral preserving properties of Bazilevic functions in a sector are also considered.

Abstract. The object of the present paper is to study certain subclasses J∗ p (a, b, σ) and Cp(a, b, σ) of analytic p-valent functions, and obtain coefficient bounds and distortion properties for functions belonging to these subclasses. Further results include distortion inequalities and radii of close-toconvexity, starlikeness and convexity for these classes of functions.

In this article, by utilizing the theory of quantum (or q-) calculus, we define a new subclass analytic and multivalent p-valent) functions class Ap, where Ap is invariant symmetric) under rotations. The well-known Janowski are used with help principle subordination between in order to p-valent functions. This function generalizes various other subclasses functions, not only classical Geometric...