Subclass of bi-univalent function associated to Chebyshev polynomial

TL;DR

This paper introduces a new subclass of bi-univalent functions using Chebyshev polynomials and establishes bounds and inequalities for these functions.

Contribution

It defines a novel subclass of bi-univalent functions associated with Chebyshev polynomials and derives related bounds and Fekete-Szego inequalities.

Findings

Established Chebyshev polynomial bounds for the subclass.

Derived Fekete-Szego inequalities for the functions.

Contributed to the theory of bi-univalent functions with polynomial associations.

Abstract

The Chebyshev polynomials are utilized in this study to define the subclass of the bi-univalent function. Also, Chebyshev polynomial bounds and Fekete-Szego inequalities for functions defined in the classes are established.