3 citations · 6 across the 5 of their papers we have counts for
5 papers
On difference-differential Lax pairs and integrals of Painlevé equations in finite characteristic
Nalini Joshi, Tomas Lasic Latimer, Pieter Roffelsen
We collect rank two difference-differential Lax pairs for classical Painlevé equations in the literature and put each in matrix form with the coefficient matrix of the…
Explicit enumeration and large-valence asymptotics of even-valent maps
Roozbeh Gharakhloo, Tomas Lasic Latimer
Let denote the number of connected labelled -valent maps of genus with vertices. Explicit bivariate formulae for have been a…
On a class of elliptic orthogonal polynomials and their integrability
Harini Desiraju, Tomas Lasic Latimer, Pieter Roffelsen
Building upon the recent works of Bertola; Fasondini, Olver and Xu, we define a class of orthogonal polynomials on elliptic curves and establish a corresponding Riemann-Hilbert fra…
Asymptotic behaviours of q-orthogonal polynomials from a q-Riemann Hilbert Problem
Nalini Joshi, Tomas Lasic Latimer
We describe a Riemann-Hilbert problem for a family of -orthogonal polynomials, , and use it to deduce their asymptotic behaviours in the limit as the…
Unique positive solutions to -discrete equations associated with orthogonal polynomials
Tomas Lasic Latimer
Boelen et al. (2010) deduced a -discrete Painlevé equation satisfied by the recurrence coefficients of orthogonal polynomials and conjectured that the equation had a unique posi…