On the Chebyshev polynomials and some of their new identities

Abstract

Abstract The main purpose of this paper is, using the elementary methods and properties of the power series, to study the computational problem of the convolution sums of Chebyshev polynomials and Fibonacci polynomials and to give some new and interesting identities for them.

Keywords

• Chebyshev polynomials
• Fibonacci polynomials
• Lucas polynomials
• Power series
• Convolution sums
• New identity