Strong Differential Subordination Results for Multivalent Analytic Functions Associated with Dziok-Srivastava Operator

On the Dziok-Srivastava operator under multivalent analytic functions

The aim of this paper is to investigate various properties and characteristics of the Dziok–Srivastava operator introduced in Dziok and Srivastava [J. Dziok, H.M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput. 103 (1999) 1–13]. Our paper is motivated essentially by the familiar work Liu and Srivastava [J.-L. Liu, H.M. Sriva...

Subordination and Superordination for Multivalent Functions Associated with the Dziok-Srivastava Operator

Classes of multivalent analytic functions involving the Dziok-Srivastava operator

By making use of subordination between analytic functions and the Dziok-Srivastava operator, we introduce a new subclass of multivalent analytic functions. Such results as inclusion relationship, integral presentations and convolution properties for this function class are proved.

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.

Multivalent Harmonic Functions Defined by Dziok-Srivastava Operator

Necessary and sufficient coefficient bounds and convolution condition for certain multivalent harmonic functions whose convolution with generalized hypergeometric functions is starlike of order γ are investigated. Results on extreme points, convex combination and distortion bounds using the coefficient condition are also obtained. 2010 Mathematics Subject Classification: 30C45, 30C50