Inclusion and Majorization Properties of Certain Subclasses of Multivalent Analytic Functions Involving a Linear Operator

TL;DR

This paper investigates properties of a specific linear operator applied to p-valent analytic functions, focusing on inclusion, majorization, and differential subordination techniques to extend existing mathematical results.

Contribution

It introduces new inclusion and majorization properties of certain subclasses of multivalent analytic functions involving the operator $Q_{p,eta}^{ ext{alpha}}$, expanding prior theoretical frameworks.

Findings

Established inclusion properties for subclasses of p-valent functions.

Derived majorization results using the linear operator.

Connected new results with existing literature on multivalent functions.

Abstract

The object of the present paper is to study certain properties and characteristics of the operator $Q_{p,\beta}^{\alpha}$defined on p-valent analytic function by using technique of differential subordination.We also obtained result involving majorization problems by applying the operator to p-valent analytic function.Relevant connection of the the result are presented here with those obtained by earlier worker are pointed out.