Article ID Journal Published Year Pages File Type
5499652 Chaos, Solitons & Fractals 2017 4 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
Preview
Some remarks regarding h(x) - Fibonacci polynomials in an arbitrary algebra
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