Some Properties for Certain Class of Analytic Functions with Varying Arguments

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...

Some properties of certain expressions of analytic functions

Let A denote the class of functions f (z) which are analytic in the open unit disk and normalized by f (0) = f (0) − 1 = 0. In this paper the expression f (z)−1 f (z)/z is studied using differential subordinations and different properties of f (z) z , as well as sufficient conditions for starlikeness and univalence of f (z) ∈ A, are obtained. Also, several open problems are posed. © 2011 Elsevi...

Some Properties of Certain New Subclasses of Analytic Functions

In this paper, we introduce some new subclasses of analytic functions related to starlike, convex, close-to-convex and quasi-convex functions defined by using a generalized operator. Inclusion relationships for these subclasses are established. Also, we introduce some integral-preserving properties. Moreover, connections of the results presented here with those obtained in earlier works are poi...

Certain Inequalities for a General Class of Analytic and Bi-univalent Functions

In this work, the subclass of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor- Maclaurin series of bi-univalent functions belonging these class are obtained. By choosing the special values for parameters and functions it is shown that the class reduces to several earlier known classes of analy...

Research Article Some Properties of Certain Analytic Functions