A Note on Fibonacci & Lucas and Bernoulli & Euler Polynomials

We study certain polynomials P-m (x, y; t) and Q(m) (x, y; t) of the variable t whose coefficients involve bivariate Fibonacci polynomials F-j (x, y) or bivariate Lucas poly-nomials L-j (x, y). By working with P-m (x,y;tx) and Q(m) (x,y;tx), together with the generating functions for Bernoulli polynomials B-i (t) and Euler polynomials E-i (t), we obtain a list of eight identities connecting F-j (x, y) or L-j (x,y) with B-i (t) or E-i (t). We present also some consequences of these results.