20 citations · 85 across the 20 of their papers we have counts for
20 papers
On the discrete Painlevé equivalence problem, non-conjugate translations and nodal curves
Anton Dzhamay, Galina Filipuk, Alexander Stokes
We consider several examples of nonautonomous systems of difference equations coming from semi-classical orthogonal polynomials via recurrence coefficients and ladder operators, wi…
Orthogonal Polynomials for the Gaussian Weight with a Jump and Discrete Painlevé Equations
Anton Dzhamay, Elizaveta Trunina
We describe a refined version of the discrete Painlevé identification problem that emphasizes the importance on going beyond just the surface type in describing a discrete Painlevé…
On some examples of identifying Painlevé equations using the geometry of the Okamoto space of initial conditions
Anton Dzhamay
In this short note we give two examples of using the algebro-geometric theory of Painlevé equations to solve the Painlevé identification problem. The equations that we consider wer…
What is the symmetry group of a d- discrete Painlevé equation?
Anton Dzhamay, Yang Shi, Alexander Stokes +1
The symmetry group of a (discrete) Painlevé equation provides crucial information on the properties of the equation. In this paper we argue against the commonly-held belief that th…
Special solutions of a discrete Painlevé equation for quantum minimal surfaces
Peter A. Clarkson, Anton Dzhamay, Andrew N. W. Hone +1
We consider solutions of a discrete Painlevé equation arising from a construction of quantum minimal surfaces by Arnlind, Hoppe and Kontsevich, and in earlier work of Cornalba and…
On the recurrence coefficients for the -Laguerre weight and discrete Painlevé equations
Jie Hu, Anton Dzhamay, Yang Chen
We study the dependence of recurrence coefficients in the three-term recurrence relation for orthogonal polynomials with a certain deformation of the -Laguerre weight on the deg…