In the present paper, we investigate the majorization properties for certain classes of multivalent analytic functions defined by a new operator. Moreover, we pointed out some new and known consequences of our main result.

The object of the present paper is to introduce and study a new class of multivalent analytic functions associated with an integral operator Qαβ which was investigated recently by Jung, Kim and Srivastava [J.Math.Anal.Appl. 176(1993), 138-147].

In this paper we study convolution properties of spirallike multivalent functions defined by using a differential operator and higher order derivatives. Using product relations determine necessary sufficient conditions for to belong these classes, our results generalized many previous obtained different authors. We obtain inclusion new subclasses the Dziok-Srivatava operator. Moreover, result c...

Abstract In the present paper, by using concept of convolution and q -calculus, we define a certain -derivative (or -difference) operator for analytic multivalent p -valent) functions. This presumably new is an extension known -analogue Ruscheweyh derivative operator. We also give some interesting applications this functions method differential subordination. Relevant connections with number ea...

A new class of harmonic multivalent functions defined by an integral operator is introduced. Coefficient inequalities, extreme points, distortion bounds, inclusion results and closure under an integral operator for this class are obtained .

The purpose of this paper is to derive some argument properties of certain multivalent functions in the open unit disk involving a linear operator. We also investigate their integral preserving property in a sector.

Multivalent ligands can function as inhibitors or effectors of biological processes. Potent inhibitory activity can arise from the high functional affinities of multivalent ligand-receptor interactions. Effector functions, however, are influenced not only by apparent affinities but also by alternate factors, including the ability of a ligand to cluster receptors. Little is known about the molec...