English

On Convolved Generalized Fibonacci and Lucas Polynomials

Number Theory 2013-08-20 v1

Abstract

We define the convolved h(x)-Fibonacci polynomials as an extension of the classical convolved Fibonacci numbers. Then we give some combinatorial formulas involving the h(x)-Fibonacci and h(x)-Lucas polynomials. Moreover we obtain the convolved h(x)-Fibonacci polynomials form a family of Hessenberg matrices.

Keywords

Cite

@article{arxiv.1308.3804,
  title  = {On Convolved Generalized Fibonacci and Lucas Polynomials},
  author = {José L. Ramírez},
  journal= {arXiv preprint arXiv:1308.3804},
  year   = {2013}
}
R2 v1 2026-06-22T01:10:53.941Z