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math.RA2016★ 2 cited
On h(x)-Fibonacci polynomials in an arbitrary algebra
Cristina Flaut, Vitalii Shpakivskyi, Elena Vlad
In this paper, we introduce h(x)-Fibonacci polynomials in an arbitrary finite-dimensional unitary algebra over a field K (K = R,C), which generalize both h(x)-Fibonacci quaternion…
math.CV2016★ 2 cited
On monogenic mappings of the quaternionic variables
V. S. Shpakivskyi, T. S. Kuzmenko
In the paper [1] we consider a new class, so-called, -monogenic (differentiable in the sense of Gateaux) quaternionic mappings. In the present paper we introduce quaternionic $H…