CERTAIN CLASSES OF ANALYTIC AND MULTIVALENT FUNCTIONS

On Certain Classes of Multivalent Analytic Functions

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.

On Sandwich theorems for certain classes of analytic functions

The purpose of this present paper is to derive some subordination and superordination results for certain analytic functions in the open unit disk. Relevant connections of the results, which are presented in the paper, with various known results are also considered.

Some Relations between Certain Classes of Analytic Multivalent Functions Involving Generalized Sălăgean Operator

Abstract: The aim of this paper is to introduce and study two subclasses of multivalent functions involving generalized Sălăgean operator. Our classes M m,σ p,n (γ;η) and N m,σ p,n (α ,β ;η) unify the standard classes of multivalent starlike functions of order η , multivalent convex functions of order η , and Bazilević functions. Some connections between our classes are obtained and several con...

Some properties of certain class of multivalent analytic functions

In this paper we introduce a certain general class Φp (a, c, A,B) (β ≥ 0, a > 0, c > 0, −1 ≤ B < A ≤ 1, p ∈ N = {1, 2, ...}) of multivalent analytic functions in the open unit disc U = {z : |z| < 1} involving the linear operator Lp(a, c). The aim of the present paper is to investigate various properties and characteristics of this class by using the techniques of Briot-Bouquet differential subo...

Certain Properties of a Subclass of Multivalent Analytic Functions