Applications of third order differential subordination and superordination involving generalized Struve function

TL;DR

This paper develops third-order differential subordination and superordination results for analytic univalent functions involving generalized Struve functions, providing new inclusion relations and dual problem formulations.

Contribution

It introduces novel third-order differential subordination and superordination results linked to generalized Struve functions, expanding the theoretical framework in complex analysis.

Findings

Derived new third-order differential subordination results.

Established superordination relations for generalized Struve functions.

Presented sandwich-type inclusion relations.

Abstract

In the present paper, we derive the third-order differential subordination and superordination results for some analytic univalent functions defined in the unit disc. These results are associated with generalized Struve functions and are obtained by considering suitable classes of admissible functions. As a consequence, the dual problems which yield the sandwich type relations are presented.