Properties of certain subclasses of multivalent analytic functions

Inclusion and Neighborhood Properties of Certain Subclasses of Analytic and Multivalent Functions of Complex Order

In the present paper, the authors prove several inclusion relations associated with the (n, δ)-neighborhoods of certain subclasses of p-valently analytic functions of complex order, which are introduced here by means of a family of extended multiplier transformations. Special cases of some of these inclusion relations are shown to yield known results.

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

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...

Inclusion Properties with Applications for Certain Subclasses of Analytic Functions

Using convolution and subordination concepts, we define some new subclasses of analytic functions and study their properties including inclusion relations and radius problems. Several applications related to conic domains and certain integral operators are also given. Results obtained in this paper may motivate further research in this dynamic and fascinating field.