New Subclass of Pseudo-type Meromorphic Bi-Univalent functions of complex order

TL;DR

This paper introduces a new subclass of pseudo-type meromorphic bi-univalent functions of complex order, deriving initial coefficient estimates and exploring related consequences in complex analysis.

Contribution

It defines a novel subclass of meromorphic bi-univalent functions and provides initial coefficient bounds, extending existing theoretical frameworks.

Findings

Derived bounds for |b_0|, |b_1|, |b_2| coefficients

Established new properties of the subclass

Connected results to known function classes

Abstract

In the present article, we define a new subclass of pseudo-type meromorphic bi-univalent functions class $\Sigma'$ of complex order $\gamma \in \mathbb{C}\backslash \{0\}$ and investigate the initial coefficient estimates $|b_0|, |b_1|$ and $|b_2|.$ Further we mention several new or known consequences of our result.