10 citations · 21 across the 10 of their papers we have counts for
5 papers · 1 filter
Fibonacci identities from Jordan Identities
Santiago Alzate, Oscar Correa, Rigoberto Flórez
In this paper, we connect two well established theories, the Fibonacci numbers and the Jordan algebras. We give a series of matrices, from literature, used to obtain recurrence rel…
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…
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…
Identities for the generalized Fibonacci polynomial
Rigoberto Flórez, Nathan McAnally, Antara Mukherjee
A second order polynomial sequence is of Fibonacci type (Lucas type) if its Binet formula is similar in structure to the Binet formula for the Fibonacci (Lucas) numbers. In this pa…
Characterization of the strong divisibility property for generalized Fibonacci polynomials
Rigoberto Flórez, Robinson A. Higuita, Antara Mukherjee
It is known that the greatest common divisor of two Fibonacci numbers is again a Fibonacci number. It is called the strong divisibility property. However, this property does not ho…