20 citations · 25 across the 2 of their papers we have counts for
3 papers
math.CA2019
Roots of generalised Hermite polynomials when both parameters are large
Davide Masoero, Pieter Roffelsen
We study the roots of the generalised Hermite polynomials when both and are large. We prove that the roots, when appropriately rescaled, densely fill a bounded qu…
math.CA2017★ 20 cited
Poles of Painlevé IV Rationals and their Distribution
Davide Masoero, Pieter Roffelsen
We study the distribution of singularities (poles and zeros) of rational solutions of the Painlevé IV equation by means of the isomonodromic deformation method. Singularities are e…
math.CA2010★ 5 cited
Irrationality of the Roots of the Yablonskii-Vorob'ev Polynomials and Relations between Them
Pieter Roffelsen
We study the Yablonskii-Vorob'ev polynomials, which are special polynomials used to represent rational solutions of the second Painlevé equation. Divisibility properties of the coe…