Differential subordination and superordination of analytic functions defined by the multiplier transformation

Differential Subordination and Superordination For Analytic Functions Defined Using A Family Of Generalized Differential Operators

By making use of the generalized differential operator, the authors derive the subordination and superordination results for certain normalized analytic functions in the open unit disk. Many of the well-known and new results are shown to follow as special cases of our results. 1 Preliminaries Let H be the class of functions analytic in the open unit disc U = {z : | z |< 1}. Let H(a, n) be the s...

DIFFERENTIAL SUBORDINATION AND SUPERORDINATION RESULTS FOR p-VALENT ANALYTIC FUNCTIONS

Using the fractional integral operator D−λ z and generalized SrivastavaAttiya operator J s,b , we introduce and study some differential subordination and superordination results for p-valent analytic functions in the open unit disk. These results are obtained by investigating appropriate classes of admissible functions.

Strong differential subordination and superordination of analytic functions associated with Komatu operator

Strong dierential subordination and superordination properties are determined for some familiesanalytic functions in the open unit disk which are associated with the Komatu operator by investigatingappropriate classes of admissible functions. New strong dierential sandwich-type results arealso obtained.

On meromorphically multivalent functions defined by multiplier transformation

The purpose of this paper is to derive various useful subordination properties and characteristics for certain subclass of multivalent meromorphic functions, which are defined here by the multiplier transformation. Also, we obtained inclusion relationship for this subclass.

On Certain Subclasses of Analytic Functions Defined by Differential Subordination