A Closed Formula for the Horadam Polynomials in Terms of a Tridiagonal Determinant
Feng Qi, Can Kizilates, Wei-Shih Du
article (Uluslararası, Hakemli) | Yazar(lar): Feng Qi, Can Kizilates, Wei-Shih Du | Yıl: 2019 — Özet: In this paper, the authors present a closed formula for the Horadam polynomials in terms of a tridiagonal determinant and, as applications of the newly-established closed formula for the Horadam polynomials, derive clo
In this paper, the authors present a closed formula for the Horadam polynomials in terms of a tridiagonal determinant and, as applications of the newly-established closed formula for the Horadam polynomials, derive closed formulas for the generalized Fibonacci polynomials, the Lucas polynomials, the Pell-Lucas polynomials, and the Chebyshev polynomials of the first kind in terms of tridiagonal determinants.