A note on h(x) - Fibonacci quaternion polynomials

被引:33
|
作者
Catarino, Paula [1 ]
机构
[1] Univ Tras Os Montes & Alto Douro, Dept Math, UTAD, P-5001801 Vila Real, Portugal
关键词
GENERALIZED FIBONACCI; K-FIBONACCI;
D O I
10.1016/j.chaos.2015.04.017
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce h(x) - Fibonacci quaternion polynomials that generalize the k - Fibonacci quaternion numbers, which in their turn are a generalization of the Fibonacci quaternion numbers. We also present a Binet-style formula, ordinary generating function and some basic identities for the h(x) - Fibonacci quaternion polynomial sequences. (C) 2015 Elsevier Ltd. All rights reserved.
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页码:1 / 5
页数:5
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