10 citations · 15 across the 6 of their papers we have counts for
6 papers
Zeros and Orthogonality of generalized Fibonacci polynomials
Cristian F. Coletti, Rigoberto Flórez, Robinson A. Higuita +1
This paper analyzes the concept of orthogonality in second-order polynomial sequences that have Binet formula similar to that of the Fibonacci and Lucas numbers, referred to as Gen…
Fibonacci--Theodorus Spiral and its properties
Michael R. Bacon, Charles K. Cook, Rigoberto Flórez +3
Inspired by the ancient spiral constructed by the greek philosopher Theodorus which is based on concatenated right triangles, we have created a spiral. In this spiral, called \emph…
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…
Star of David and other patterns in the Hosoya-like polynomials triangles
Rigoberto Florez, Robinson A. Higuita, Antara Mukherjee
In this paper we first generalize the numerical recurrence relation given by Hosoya to polynomials. Using this generalization we construct a Hosoya-like triangle for polynomials, w…
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…