On quasi subordination for analytic and biunivalent function class

TL;DR

This paper introduces and studies a new subclass of bi-univalent functions based on quasi-subordination, establishing its properties and connections to existing function classes.

Contribution

It defines a novel bi-univalent function subclass related to quasi-subordination and explores its properties and relationships to known classes.

Findings

New subclass of bi-univalent functions introduced

Connections established with existing function classes

Foundational properties of the new class analyzed

Abstract

In this work, the subclass of the function class S of bi-univalent functions associated with the quasi-subordination is defined and studied. Also some relevant classes are recognized and connections to previus results are made.