Subordination Results for Certain Classes of Multivalently Analytic Functions with a Convolution Structure

Some applications of differential subordination to a general class of multivalently analytic functions involving a convolution structure ∗

By appealing to the familiar convolution structure of analytic functions, we investigate various useful properties and characteristics of a general class of multivalently analytic functions using the techniques of differential subordination. Several results are presented exhibiting relevant connections with some of the results presented here and those obtained in earlier works.

Inclusion and Neighborhood Properties for Certain Classes of Multivalently Analytic Functions Associated with the Convolution Structure

Making use of the familiar convolution structure of analytic functions, in this paper we introduce and investigate two new subclasses of multivalently analytic functions of complex order. Among the various results obtained here for each of these function classes, we derive the coefficient bounds and coefficient inequalities, and inclusion and neighborhood properties, involving multivalently ana...

Subordination and Superordination Properties for Convolution Operator

In present paper a certain convolution operator of analytic functions is defined. Moreover, subordination and superordination- preserving properties for a class of analytic operators defined on the space of normalized analytic functions in the open unit disk is obtained. We also apply this to obtain sandwich results and generalizations of some known results.

Inclusion and Neighborhood Properties for Certain Classes of Multivalently Analytic Functions

We introduce and investigate two new general subclasses of multivalently analytic functions of complex order by making use of the familiar convolution structure of analytic functions. Among the various results obtained here for each of these function classes, we derive the coefficient inequalities and other interesting properties and characteristics for functions belonging to the classes introd...

Subordination and Super Ordination Results Involving Certain Convolution Operators