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math.CA2020
Liouvillian solutions for second order linear differential equations with Laurent polynomial coefficient
Primitivo B. Acosta-Humánez, David Blázquez-Sanz, Henock Venegas-Gómez
This paper is devoted to a complete parametric study of Liouvillian solutions of the general trace-free second order differential equation with a Laurent polynomial coefficient. Th…
math.DG2020
Malgrange-Galois groupoid of Painlevé VI equation with parameters
David Blázquez-Sanz, Guy Casale, Juan Sebastián Díaz Arboleda
The Malgrange-Galois groupoid of Painlevé IV equations is known to be, for very general values of parameters, the pseudogroup of transformations of the phase space preserving a vol…