The paper aims to study differential subordination and superordination preserving properties
for certain analytic multivalent functions within the open unit disk related to a novel …

Sanford S. Miller and Petru T. Mocanu's theory of second-order differential subordinations
was extended for the case of third-order differential subordinations by José A. Antonino and …

The main objective of this paper is to present classical second-order differential
subordination knowledge extended in this study to include new results regarding third-order …

We propose third‐order differential subordination results associated with new admissible
classes of multivalent functions defined in the open unit disk on the complex plane. Besides …

The present research aims to present new results regarding the fundamental problem of
providing sufficient conditions for finding the best subordinant of a third-order differential …

In this paper, we aim to give some results for third-order differential subordination for analytic
functions in the open unit disk 𝒰𝒰={𝑧𝑧: 𝑧𝑧∈ ℂ and| 𝑧𝑧|< 1} involving the new integral …

Recently considerable effort has been devoted to the study of fractional calculus in many
branches of mathematics and physics. The main object of the present investigation is to …

The purpose of this paper is to discuss the third-order differential subordination and the
corresponding differential superordination problems by using derivative operator FTη, ν, ϱβf …

For the study presented in this paper, the concepts specific to strong differential
subordination theory, introduced for the second-order differential subordination case, are …

The research conducted in this investigation focuses on extending known results from the
second-order differential subordination theory for the special case of third-order strong …