LUCAS POLYNOMIALS AND THE FIXED POINTS OF THE GAUSS MAP
This paper shows that if is a fixed point of the Gauss map, then every odd power of it is also a fixed point, and can be calculated from the 's of Moreover, this paper shows the relation between odd Lucas polynomials and the odd powers of the fixed point of the Gauss map to conclude that the set of odd Lucas polynomials with composition forms a commutative monoid.
Lucas polynomials, Fibonacci polynomials, commutative monoid, Gauss map.
