Some identities of Chebyshev polynomials arising from nonlinear differential equations

TL;DR

This paper explores properties of Chebyshev polynomials derived from nonlinear differential equations, leading to new identities that enhance understanding of their mathematical structure.

Contribution

It introduces novel identities of Chebyshev polynomials obtained through analysis of nonlinear differential equations, expanding existing mathematical knowledge.

Findings

Derived new identities for Chebyshev polynomials

Connected polynomial properties to nonlinear differential equations

Enhanced understanding of Chebyshev polynomial structure

Abstract

In this paper, we investigate some properties of Chebyshev polynomials arising from non-linear differential equations. From our investigation, we derive some new and interesting identities on Chebyshev polynomials.