2 citations · 3 across the 3 of their papers we have counts for
3 papers
nlin.SI2025★ 1 cited
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…
nlin.SI2024★ 2 cited
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…
math-ph2014
Geometric Analysis of Reductions from Schlesinger Transformations to Difference Painlevé Equations
Anton Dzhamay, Tomoyuki Takenawa
We present two examples of reductions from the evolution equations describing discrete Schlesinger transformations of Fuchsian systems to difference Painlevé equations: difference…