Some Applications of Differential Subordination for a General Class of Multivalently Analytic Functions Involving 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.

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

In this paper a general class of analytic functions involving a convolution structure is introduced. Among the results investigated are the various results depicting useful properties and characteristics of this function class by employing the techniques of differential subordination. Relevances of the main results with some known results are also mentioned briefly.

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.

Subordination and Super Ordination Results Involving Certain Convolution Operators

Applications of convolution and‎ ‎subordination to certain $p$-valent functions

In this paper we considered some new classes of multivalent functions by using Aouf-Silverman-Srivastava operator and derived some important results using convolution and subordination technique. This new class is an extension of a class which introduced before.