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nlin.SI2026
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…
math-ph2026★ 1 cited
Generalisation of Bureau-Guillot systems with Painlevé transcendents in the coefficients
Marta Dell'Atti, Galina Filipuk
We construct a generalisation of what we call Bureau-Guillot systems, i.e. systems of first order equations with coefficient functions being Painlevé transcendents. The same Painle…