Pita-Ruiz, ClaudioClaudioPita-Ruiz2023-08-032023-08-032011https://scripta.up.edu.mx/handle/20.500.12552/4643https://cs.uwaterloo.ca/journals/JIS/VOL14/Pita2/pita8.pdfWe consider s-Fibonacci polynomial sequences (F0 (x), Fs (x), F2s (x), . . .), where s ∈ N is given. By studying certain z-polynomials involving s-polyfibonomials n k Fs(x) = Fsn(x)···Fs(n−k+1)(x) Fs(x)···Fks(x) and s-Gibonacci polynomial sequences (G0 (x), Gs (x), G2s (x), . . .), we generalize some known results (and obtain some new results) concerning sums of products and addition formulas of Fibonacci numbersWe consider s-Fibonacci polynomial sequences (F0 (x), Fs (x), F2s (x), . . .), where s ∈ N is given. By studying certain z-polynomials involving s-polyfibonomials n k Fs(x) = Fsn(x)···Fs(n−k+1)(x) Fs(x)···Fks(x) and s-Gibonacci polynomial sequences (G0 (x), Gs (x), G2s (x), . . .), we generalize some known results (and obtain some new results) concerning sums of products and addition formulas of Fibonacci numbersResource Types::text::journal::journal article