Generating functions of the product of the k-Fibonacci and k-Pell numbers and Chebyshev polynomials of the third and fourth kind

Abstract

In this paper, we give some new generating functions related to the product of the k-Fibonacci, k-Pell numbers and Chebyshev polynomials of the third and fourth kind. The technic used her is based on the theory of the symmetric functions and some properties of Chebyshev polynomials.