R. M. El-Ashwah

New Subclasses of Biunivalent Functions Involving Dziok-Srivastava Operator

We introduce two new subclasses of biunivalent functions which are defined by using the Dziok-Srivastava operator. Furthermore, we find estimates on the coefficients and for functions in these new subclasses.

Subclass of univalent harmonic functions defined by dual convolution

In the present paper, we study a subclass of univalent harmonic functions defined by convolution and integral convolution. We obtain the basic properties such as coefficient characterization and distortion theorem, extreme points and convolution condition.MSC:30C45, 30C50.

Sandwich Theorems for Higher-Order Derivatives of P-Valent Functions Involving a Generalized Differential Operator

In the present article, we obtain some applications of first order differential subordination, superordination and sandwich results for higher-order derivatives of p-valent functions involving a generalized differential operator. Some of our results improve and generalize previously known results.

Some Inclusion Relationships of Certain Subclasses of -Valent Functions Associated with a Family of Integral Operators

By making use of the new integral operator , we introduce and investigate several new subclasses of -valent starlike, -valent convex, -valent close-to-convex, and -valent quasi-convex functions. In particular, we establish some inclusion relationships associated with the aforementioned integral operators. Some of the results established in this paper would provide extensions of those given in earlier works.