%0 Journal Article
%T Derivations and identities for Fibonacci and Lucas polynomials
%A Leonid Bedratyuk
%J Mathematics
%D 2012
%I arXiv
%X We introduce the notion of Fibonacci and Lucas derivations of the polynomial algebras and prove that any element of kernel of the derivations defines a polynomial identity for the Fibonacci and Lucas polynomials. Also, we prove that any polynomial identity for Appel polynomial yields a polynomial identity for the Fibonacci and Lucas polynomials and describe the corresponding intertwining maps.
%U http://arxiv.org/abs/1207.5891v2