A Lucas polynomial sequence is a pair of generalized polynomials which generalize the Lucas sequence to polynomials is given by W_n^k(x) | = | (Δ^k(x)[a^n(x) - (-1)^k b^n(x)])/(Δ(x)) w_n^k(x) | = | Δ^k(x)[a^n(x) + (-1)^k b^n(x)], where a(x) + b(x) | = | p(x) a(x) b(x) | = | -q(x).

Chebyshev polynomial of the first kind | Chebyshev polynomial of the second kind | cyclotomic polynomial | Fermat polynomial | Fibonacci polynomial | Jacobsthal polynomial | Lucas polynomial | Lucas sequence | Pell polynomial