COMPUTING THE GALOIS GROUP OF SOME PARAMETERIZED LINEAR DIFFERENTIAL EQUATION OF ORDER TWO
Résumé
We extend Kovacic's algorithm to compute the differential Galois group of some second order parameterized linear differential equation. In the case where no Liouvillian solutions could be found, we give a necessary and sufficient condition for the integrability of the system. We give various examples of computation.
Domaines
Mathématiques générales [math.GM]
Origine : Fichiers produits par l'(les) auteur(s)
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