Faber polynomial coefficient estimates for a class of analytic bi-univalent functions

TL;DR

This paper derives estimates for Taylor-Maclaurin coefficients of a subclass of analytic bi-univalent functions using Faber polynomial expansions, connecting to prior results in the field.

Contribution

It introduces new coefficient estimates for a specific class of bi-univalent functions using Faber polynomial techniques.

Findings

Derived bounds for Taylor-Maclaurin coefficients.

Connected new results to existing literature.

Enhanced understanding of bi-univalent function subclasses.

Abstract

In the present paper, we were mainly concerned with obtaining estimates for the general Taylor-Maclaurin coefficients for functions in a certain general subclass of analytic bi-univalent functions. For this purpose, we used the Faber polynomial expansions. Several connections to some of the earlier known results are also pointed out.