Results of Third-Order Strong Differential Subordinations

Abstract

In this paper, we present and investigate the notion of third-order strong differential subordinations, unveiling several intriguing properties within the context of specific classes of admissible functions. Furthermore, we extend certain definitions, presenting novel and fascinating results. We also derive several interesting properties of the results of third-order strong differential subordinations for analytic functions associated with the Srivastava–Attiya operator.

Keywords

• admissible function
• analytic function
• strong differential subordination
• dominants
• multivalent function