Generating functions of Chebyshev polynomials in three variables

TL;DR

This paper derives generating functions for three-variable Chebyshev polynomials linked to the root system of the A3 Lie algebra, expanding the mathematical understanding of these polynomials.

Contribution

It introduces explicit generating functions for three-variable Chebyshev polynomials associated with the A3 Lie algebra root system, a novel extension in the field.

Findings

Explicit generating functions derived for three-variable Chebyshev polynomials

Connections established between Chebyshev polynomials and A3 Lie algebra root system

Mathematical framework for further algebraic and analytical studies

Abstract

In this paper generating functions of three variables Chebyshev polynomials associated with the root system of $A_3$ Lie algebra are obtained.