56 citations · 289 across the 35 of their papers we have counts for
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Takasaki's rational fourth Painlevé-Calogero system and geometric regularisability of algebro-Painlevé equations
Galina Filipuk, Alexander Stokes
We study a Hamiltonian system without the Painlevé property and show that it admits a kind of regularisation on a bundle of rational surfaces with certain divisors removed, general…
Recurrence relations for the generalized Laguerre and Charlier orthogonal polynomials and discrete Painlevé equations on the Sakai surface
Xing Li, Anton Dzhamay, Galina Filipuk +1
This paper concerns the discrete version of the Painlevé identification problem, i.e., how to recognize a certain recurrence relation as a discrete Painlevé equation. Often some cl…
Schwarzian derivative, Painlevé XXV-Ermakov equation and Bäcklund transformations
Sandra Carillo, Alexander Chichurin, Galina Filipuk +1
The role of Schwarzian derivative in the study of nonlinear ordinary differential equations is revisited. Solutions and invariances admitted by Painlevé XXV-Ermakov equation, Ermak…