Pita-Ruiz, ClaudioClaudioPita-Ruiz2023-07-312023-07-3120149783110298116https://scripta.up.edu.mx/handle/20.500.12552/448210.1515/9783110298161.860We obtain closed formulas for some weighted sums of powers of bivariate Fibonacci and Lucas polynomials of the form q n=0 λn (x, y) Fk tsn+l (x, y) and q n=0 λn (x, y)Lk tsn+l (x, y), in the cases k = 1, 2, 3, 4, and some specific values of the parameters t and l. We express these sums as linear combinations of the Fibopolynomials q+m tk Fs(x,y) , m = 1, 2, . . . , tk.Resource Types::text::book::book part