Third order differential subordination and superordination results for analytic functions involving the Srivastava-Attiya operator

TL;DR

This paper explores third-order differential subordination and superordination for analytic functions using the Srivastava-Attiya operator, establishing new sandwich-type theorems and properties for univalent functions.

Contribution

It introduces new third-order differential subordination and superordination results involving the Srivastava-Attiya operator and develops related sandwich theorems for univalent functions.

Findings

Established new third-order differential subordination results.

Developed sandwich-type theorems for univalent functions.

Connected the results with the Srivastava-Attiya transform.

Abstract

In this article, by making use of the linear operator introduced and studied by Srivastava and Attiya \cite{srivastava1}, suitable classes of admissible functions are investigated and the dual properties of the third-order differential subordinations are presented. As a consequence, various sandwich-type theorems are established for a class of univalent analytic functions involving the celebrated Srivastava-Attiya transform. Relevant connections of the new results are pointed out.