3 papers
nlin.SI2020
Singularity confinement in delay-differential Painlevé equations
Alexander Stokes
We study singularity confinement phenomena in examples of delay-differential Painlevé equations, which involve shifts and derivatives with respect to a single independent variable.…
nlin.SI2019
Recurrence coefficients for discrete orthogonal polynomials with hypergeometric weight and discrete Painlevé equations
Anton Dzhamay, Galina Filipuk, Alexander Stokes
Over the last decade it has become clear that discrete Painlevé equations appear in a wide range of important mathematical and physical problems. Thus, the question of recognizing…
nlin.SI2018
Full-parameter discrete Painlevé systems from non-translational Cremona isometries
Alexander Stokes
Since the classification of discrete Painlevé equations in terms of rational surfaces, there has been much interest in the range of integrable equations arising from each of the 22…