Chebyshev polynomials, a central class of orthogonal polynomials, have long been pivotal in numerical analysis, approximation theory and the solution of differential equations. Their inherent ...

In this paper, we use the algebraic manipulations and the properties of Chebyshev polynomials to obtain two interesting identities involving the power sums of the integral of the first kind Chebyshev ...

Two families of polynomials are introduced which satisfy multi-dimensional (or multi-indiced) recursion relationships. These polynomials are developed from the Chebyshev polynomials. Also two ...