3 papers
math.CO2026
Holonomic Sequences Arising from Laplace Transforms of Generalized Second Order Sequences
Rigoberto Flórez, Robinson Higuita-Diaz, José L. Ram\'ırez
We study the FiboLaplace and LucasLaplace sequences obtained by applying the Laplace transform to generalized Fibonacci-type and Lucas-type polynomials. We relate these families an…
math.CO2024
Projective Rectangles: Harmonic Conjugation
Rigoberto Florez, Thomas Zaslavsky
A projective rectangle is like a projective plane that has different lengths in two directions. We develop harmonic conjugation in projective rectangles. We construct projective re…
math.CO2024
Projective Rectangles: A New Kind of Incidence Structure
Rigoberto Florez, Thomas Zaslavsky
A projective rectangle is like a projective plane that has different lengths in two directions. We develop the basic theory of projective rectangles including incidence properties,…