111 citations · 578 across the 60 of their papers we have counts for
64 papers
On symmetric solutions of the fourth -Painlevé equation
Nalini Joshi, Pieter Roffelsen
The Painlevé equations possess transcendental solutions with special initial values that are symmetric under rotation or reflection in the complex -plane. They correspond…
Asymptotics of Discrete -Freud orthogonal polynomials from the -Riemann Hilbert Problem
Nalini Joshi, Tomas Lasic Latimer
We investigate a Riemann-Hilbert problem (RHP), whose solution corresponds to a group of -orthogonal polynomials studied earlier by Ismail et al. Using RHP theory we determine n…
On the Perturbed Second Painlevé Equation
Joshua Holroyd, Nalini Joshi
We consider a perturbed version of the second Painlevé equation (), which arises in applications, and show that it possesses solutions analogous to the ce…
Global asymptotics of the sixth Painlevé equation in Okamoto's space
Viktoria Heu, Nalini Joshi, Milena Radnović
We study dynamics of solutions in the initial value space of the sixth Painlevé equation as the independent variable approaches zero. Our main results describe the repeller set, sh…
On the monodromy manifold of -Painlevé VI and its Riemann-Hilbert problem
Nalini Joshi, Pieter Roffelsen
We study the sixth -difference Painlevé equation () through its associated Riemann-Hilbert problem (RHP) and show that the RHP is always solvable fo…
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…