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math.NT2018★ 2 cited
The resultant, the discriminant, and the derivative of generalized Fibonacci polynomials
Rigoberto Flórez, Robinson Higuita, Alexander Ramírez
A second order polynomial sequence is of \emph{Fibonacci-type} (\emph{Lucas-type}) if its Binet formula has a structure similar to that for Fibonacci (Lucas) numbers. Known example…
math.NT2018
The Geometry of some Fibonacci Identities in the Hosoya Triangle
Rigoberto Flórez, Robinson A. Higuita, Antara Mukherjee
The \emph{Hosoya triangle} is a triangular array where every entry is a product of two Fibonacci numbers. We use the geometry of this triangle to find new identities related to Fib…