Sums of Products of s-Fibonacci Polynomial Sequences

We consider $ s$-Fibonacci polynomial sequences (F-0(x), F-s(x), F-2s(x), . . .), where s epsilon N is given. By studying certain z-polynomials involving s-polyfibonomials (n k)F-s (x)= F-sn(x)... Fs(n-k+1)(x) / F-s(x) ...F-ks(x) and s-Gibonacci polynomial sequences (G(0) (x) , G(s) (x) ,G(2s)(x), . . .), we generalize some known results (and obtain some new results) concerning sums of products and addition formulas of Fibonacci numbers.