Subordination and superordination for multivalent functions defined by linear operators

TL;DR

This paper unifies linear operators on p-valent functions and establishes subordination, superordination, and sandwich results, along with integral transforms and conditions for function classes.

Contribution

It introduces a unified approach to linear operators on p-valent functions and derives new subordination, superordination, and sandwich theorems with integral transform analysis.

Findings

Derived subordination and superordination results for p-valent functions.

Established sandwich type theorems under new operator frameworks.

Provided sufficient conditions for functions in various classes.

Abstract

In this paper, certain linear operators defined on $p$-valent analytic functions have been unified and for them some subordination and superordination results as well as the corresponding sandwich type results are obtained. A related integral transform is discussed and sufficient conditions for functions in different classes have been obtained.