Mario DeFranco

collaborators

3 papers

math.CO2026

On the leading and penultimate leading coefficients for NRS(2) applied to a cubic polynomial

Mario DeFranco

We prove that the leading and penultimate leading coefficients in $u_{3}$ of the ``error" terms of NRS(2) applied to a cubic polynomial $f(z) =\sum_{i=0}^3 a_i z^i=\prod_{i=1}^3 (1-u…

math.CO2026

On recurrence relations arising from NRS(2) applied to a cubic polynomial

Mario DeFranco

We prove that the leading coefficient of the "error" terms of NRS(2) applied to a cubic polynomial $f (z)$ with starting point $(- \frac{a _{1}}{a _{2}}, - \frac{a _{1}}{a _{2}})$ are positive-co…

math.CO2025

On the set of fixed points for NRS( $m$ )

Mario DeFranco

Let $f (z)$ be a degree $d$ polynomial with zeros $z_{i}$ . For arbitrary $m$ we construct explicit set of fixed points (attractors) of NRS( $m$ ), and prove a factored formula for the J…

On the leading and penultimate leading coefficients for NRS(2) applied to a cubic polynomial

On recurrence relations arising from NRS(2) applied to a cubic polynomial

On the set of fixed points for NRS(m)

On the set of fixed points for NRS( $m$ )