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nlin.SI2024
The Painlevé equivalence problem for a constrained 3D system
Galina Filipuk, Michele Graffeo, Giorgio Gubbiotti +1
In this paper we propose a geometric approach to study Painlevé equations appearing as constrained systems of three first-order ordinary differential equations. We illustrate this…
math.CA2024
Differential system related to Krawtchouk polynomials: iterated regularisation and Painlevé equation
Galina Filipuk, Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar +1
We tackle the regularisation of a differential system related to generalised Krawtchouk polynomials. We show a straightforward connection between certain auxiliary quantities invol…