Roland Miyamoto

collaborators

3 papers

math.CO2026

Golombic and Levine sequences

Johan Claes, Roland Miyamoto

We investigate and generalise Levine sequences like A011784, A061892 and A061894 and develop an algebraic theory for them. We thereby also cover other fast growing sequences like A…

math.CA2024

Solution to the iterative differential equation $- γ g^{'} = g^{- 1}$

Roland Miyamoto

Using a Picard-like operator $T$ , we prove that the iterative differential equation $- γ g^{'} = g^{- 1}$ with parameter $γ > 0$ has a solution $g = h : [0, 1] \to [0, 1]$ for only one value…

math.CO2024

Polynomial parametrisation of the canonical iterates to the solution of $- γ g^{'} = g^{- 1}$

Roland Miyamoto

The iterates $h_{0}, h_{1}, h_{2}, \dots$ constructed in [8,5] and converging to the only solution $g = h : [0, 1] \to [0, 1]$ of the iterative differential equation $- γ g^{'} = g^{- 1}$ , $γ > 0$ , ar…

Golombic and Levine sequences

Solution to the iterative differential equation −γg′=g−1

Polynomial parametrisation of the canonical iterates to the solution of −γg′=g−1

Solution to the iterative differential equation $- γ g^{'} = g^{- 1}$

Polynomial parametrisation of the canonical iterates to the solution of $- γ g^{'} = g^{- 1}$