Sana Krioui - Mathematics Faculty, Department of Algebra and Number Theory, LATN Laboratory, USTHB, BP۳۲, Bab Ezzouar, Algiers, Algeria
Ali Boussayoud - LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
Abdelaziz Bellagha - Mathematics Faculty, Department of Algebra and Number Theory, LATN Laboratory, USTHB, BP۳۲, Bab Ezzouar, Algiers, Algeria

In this paper, we introduce novel generating functions of the products of k-Fibonacci numbers, k-Lucas numbers, k-Pell numbers, k-Jacobsthal numbers, k-Mersenne numbers and symmetric functions in multiple variables. Accordingly, the novel generating functions are assigned to the other orthogonal Chebyshev polynomials with symmetric functions in multiple variables.

Symmetric functions, Generating functions, k-Fibonacci numbers, k-Lucas numbers, k-Pell numbers, k-Mersenne numbers, Chebishev polynomials