Subordination Properties of Certain Subclass of p-Valent Meromorphic Functions Associated with Linear Operator

TL;DR

This paper investigates subordination properties of a specific subclass of p-valent meromorphic functions with poles at the origin, using a new linear operator, and derives several corollaries for special cases.

Contribution

It introduces a new linear operator to study subordination in p-valent meromorphic functions and establishes new subordination results with various corollaries.

Findings

Established subordination results for the subclass

Derived corollaries for special cases

Enhanced understanding of p-valent meromorphic functions

Abstract

In this paper, subordination results are studied for certain subclass of p-valent meromorphic functions in the punctured unit disc having a pole of order p at the origin. The subclass under investigation is defined by using certain new linear operator. Moreover, we also introduced an interesting particular cases of these results in several corollaries.