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

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.