5 citations · 8 across the 4 of their papers we have counts for
4 papers
Continued fractions for strong Engel series and Lüroth series with signs
Andrew N. W. Hone, Juan Luis Varona
An Engel series is a sum of reciprocals of a non-decreasing sequence of positive integers with the property that divides for all $n\geq…
Hirota bilinear equations for Painlevé transcendents
A. N. W. Hone, F. Zullo
We present some observations on the tau-function for the fourth Painlevé equation. By considering a Hirota bilinear equation of order four for this tau-function, we describe the ge…
Algebraic entropy for algebraic maps
A. N. W. Hone, O. Ragnisco, F. Zullo
We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for rational maps, to algebraic maps (or correspondences) of a certain kind. The co…
Properties of the series solution for Painleve I
A. N. W. Hone, O. Ragnisco, F. Zullo
We present some observations on the asymptotic behaviour of the coefficients in the Laurent series expansion of solutions of the first Painleve equation. For the general solution,…