English

Determinantal and permanental representation of generalized bivariate Fibonacci p-polynomials

Number Theory 2011-11-18 v1

Abstract

In this paper, we give some determinantal and permanental representations of generalized bivariate Fibonacci p-polynomials by using various Hessenberg matrices. The results that we obtained are important since generalized bivariate Fibonacci p-polynomials are general form of, for example, bivariate Fibonacci and Pell p-polynomials, second kind Chebyshev polynomials, bivariate Jacobsthal polynomials etc.

Keywords

Cite

@article{arxiv.1111.4071,
  title  = {Determinantal and permanental representation of generalized bivariate Fibonacci p-polynomials},
  author = {Kenan Kaygisiz and Adem Sahin},
  journal= {arXiv preprint arXiv:1111.4071},
  year   = {2011}
}