English

Some formulae for bivariate Fibonacci and Lucas polynomials

Combinatorics 2007-05-23 v1

Abstract

We derive a collection of identities for bivariate Fibonacci and Lucas polynomials using essentially a matrix approach as well as properties of such polynomials when the variables xx and yy are replaced by polynomials. A wealth of combinatorial identities can be obtained for selected values of the variables.

Keywords

Cite

@article{arxiv.math/0406323,
  title  = {Some formulae for bivariate Fibonacci and Lucas polynomials},
  author = {Mario Catalani},
  journal= {arXiv preprint arXiv:math/0406323},
  year   = {2007}
}