New strong differential subordinations and superordinations of symmetric analytic functions

Abstract

The concept of strong differential subordinations was introduced in [1], [2] by Antonio and Romaguera and developed in [6,8]. The dual concept of strong differential superordination was introduced in [4] and developed in [5,7]. In this paper, we introduce two new classes of symmetric analytic functions defined by strong differential subordination and superordination. Also we study some properties of these classes.

Some Properties for Strong Differential Subordination of Analytic Functions Associated with Wanas Operator

“…In recent years, many authors obtained various interesting results associated with strong differential subordination and superordination for example (see [3,5,6,13,14]).…”

Strong differential sandwich results of l-pseudo-starlike functions with respect to symmetrical points

“…In recent years, several authors obtained many interesting results in strong differential subordination and superordination [1,3,4,11,12,13]. In this work, by making use of the strong differential subordination results and strong differential superordination results of Oros and Oros [8,9], we introduce and study certain suitable classes of admissible functions and derive some strong differential subordination and superordination properties of λpseudo-starlike functions with respect to symmetrical points.…”

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

“…In recent years, many authors obtained various interesting results associated with strong differential subordination and superordination, for example, (see [2,5,12,13,14,15]).…”