A differential subordination and starlikeness of analytic 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.

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.

On Certain Subclasses of Analytic Functions Defined by Differential Subordination

Differential subordination for classes of normalized analytic functions 1

We determine the sufficient conditions for subordination for new classes of normalized analytic functions with applications in fractional calculus in complex domain. 2010 Mathematics Subject Classification: 34G10, 26A33, 30C45.

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...