Some remarks regarding h(x) – Fibonacci polynomials in an arbitrary algebra

Cristina Flaut, Vitalii Shpakivskyi and Elena Vlad

Chaos, Solitons & Fractals, 2017, vol. 99, issue C, 32-35

Abstract: In this paper, we introduce h(x) – Fibonacci polynomials in an arbitrary finite-dimensional unitary algebra over a field K(K=R,C). These polynomials generalize h(x) – Fibonacci quaternion polynomials andh(x) – Fibonacci octonion polynomials. For h(x) – Fibonacci polynomials in an arbitrary algebra, we provide generating function, Binet-style formula, Catalan-style identity, and d’Ocagne-type identity.

Keywords: h(x) - Fibonacci quaternion polynomials; h(x) - Fibonacci octonion polynomials (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:99:y:2017:i:c:p:32-35

DOI: 10.1016/j.chaos.2017.03.040

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