On h(x)-Fibonacci polynomials in an arbitrary algebra
Rings and Algebras
2017-04-26 v1
Abstract
In this paper, we introduce h(x)-Fibonacci polynomials in an arbitrary finite-dimensional unitary algebra over a field K (K = R,C), which generalize both h(x)-Fibonacci quaternion polynomials and h(x)-Fibonacci octonion polynomials. For h(x)-Fibonacci polynomials in such an arbitrary algebra, we prove summation formula, generating function, Binet-style formula, Catalan-style identity, and d Ocagne-type identity.
Cite
@article{arxiv.1611.04993,
title = {On h(x)-Fibonacci polynomials in an arbitrary algebra},
author = {Cristina Flaut and Vitalii Shpakivskyi and Elena Vlad},
journal= {arXiv preprint arXiv:1611.04993},
year = {2017}
}