机构:
Univ Tras Os Montes & Alto Douro, Dept Math, UTAD, P-5001801 Vila Real, PortugalUniv Tras Os Montes & Alto Douro, Dept Math, UTAD, P-5001801 Vila Real, Portugal
Catarino, Paula
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机构:
[1] Univ Tras Os Montes & Alto Douro, Dept Math, UTAD, P-5001801 Vila Real, Portugal
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.
机构:
Rzeszow Univ Technol, Fac Math & Appl Phys, Al Powstancow Warszawy 12, PL-35959 Rzeszow, PolandRzeszow Univ Technol, Fac Math & Appl Phys, Al Powstancow Warszawy 12, PL-35959 Rzeszow, Poland
Bednarz, Urszula
Wolowiec-Musial, Malgorzata
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机构:
Rzeszow Univ Technol, Fac Math & Appl Phys, Al Powstancow Warszawy 12, PL-35959 Rzeszow, PolandRzeszow Univ Technol, Fac Math & Appl Phys, Al Powstancow Warszawy 12, PL-35959 Rzeszow, Poland