On Certain Differential Subordination of Harmonic Mean Related to a Linear Function

An Application of Subordination on Harmonic Function

The purpose of this paper is to obtain sufficient bound estimates for harmonic functions belonging to the classes S∗ H [A,B], KH [A,B] defined by subordination, and we give some convolution conditions. Finally, we examine the closure properties of the operator D on these classes under the generalized Bernardi integral operator.

On a linear combination of classes of harmonic $p-$valent functions defined by certain modified operator

In this paper we obtain coefficient characterization‎, ‎extreme points and‎ ‎distortion bounds for the classes of harmonic $p-$valent functions‎ ‎defined by certain modified operator‎. ‎Some of our results improve‎ ‎and generalize previously known results‎.

On Certain Subclasses of Analytic Functions Defined by Differential Subordination

Applications of differential subordination to certain subclasses of p-valent meromorphic functions involving a certain operator

By making use of the method of differential subordination, we investigate some properties of certain classes of p-valent meromorphic functions, which are defined by means of a certain operator .

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.