By applying certain integral operators to p-valent functions we define a comprehensive family of analytic functins. The subordinations properties of this family is studied, which in certain special cases yield some of the previously obtained results.

This paper is concerned with the differential subordination properties of multivalent functions involving by generalized integral operator. We investigate some applications a results for normalized analytic function ( ) and operator on class all functions. Some our previously known results. Keywords — Analytic functions; p–valent; operator; subordination.

The aim of this paper is to study the problem of coefficient bounds for a newly defined subclass of p-valent analytic functions. Many known results appear as special consequences of our work.

In this paper, we introduce new general integral operators. New sufficient conditions for these operators to be p-valently starlike, p-valently close-to-convex, uniformly p-valent close-to-convex and strongly starlike of order γ (0 < γ ≤ 1) in the open unit disk are obtained.

In this paper, a new subclass ∑α p,β(η, δ, μ, λ) of p−valent meromorphic functions defined by certain integral operator is introduced. Some interesting properties of this class are obtained.

The purpose of the present paper is to establish some interesting results on the generalizations of quasi-Hadamard product of functions belonging to the classes of p-valent starlike and p-valent convex functions of order α in the open unit disc U. Our results improve the results of previous authors to the case when r and s are any positive real numbers such that s > 1. It is worth noting that t...

and Applied Analysis 3 2. Some Properties of the Classes ∑∗ λ p, n, α and ∑λ c p, n, α Theorem 2.1. If f z ∈ ∑ p, n satisfies ∣ ∣ ∣ ∣ ( zf z )eiλ/ p−α cosλ { e zf ′ z f z α cosλ ip sinλ } ( p − α cosλ ∣ ∣ ∣ ∣ < n √ n2 1 ( p − α cosλ z ∈ U , 2.1 then f z ∈ ∑∗λ p, n, α . Proof. Let us set a function h z by h z 1 z ( zf z )eiλ/ p−α cosλ 1 z ean ( p − α cosλ n · · · 2.2 for f z ∈ ∑ p, n . Then clea...

The purpose of this paper is to introduce two novel subclasses Γλ n, α, β and Γλ n, α, β of meromorphic p-valent functions by using the linear operator D λ . Then we prove the necessary and sufficient conditions for a function f in order to be in the new classes. Further we study several important properties such as coefficients inequalities, inclusion properties, the growth and distortion theo...

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.