用矩阵方法研究Horadam四元数
On Horadam quaternions by using matrix method
摘要：
本文给出了Horadam四元数的几种矩阵表示。我们利用矩阵方法导出了与这些四元数有关的几个恒等式。由于四元数乘法是不可交换的，我们的一些结果是非交换的类似的著名的身份的Fibonacci-like整数序列。最后，作为矩阵方法的一个应用，我们得到了Horadam四元数的二项式和恒等式。
英文摘要：
In this paper, we give several matrix representations for the Horadam quaternions. We derive several identities related to these quaternions by using the matrix method. Since quaternion multiplication is not commutative, some of our results are non-commutative analogues of the well known identities for the Fibonacci-like integer sequences. Lastly, we derive some binomial-sum identities for the Horadam quaternions as an application of the matrix method.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
