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Symmetries and solvability of linear differential equations.

Luis Joaquín Boya, F. González-Gascón (1980)

Revista Matemática Hispanoamericana

The canonical form theorem, applied to a certain group of symmetry transformations of certain Fuchsian equations, leads automatically to the integration of them. The result can be extended to any n-order differential equation possesing a certain pointlike group of symmetries with a maximal abelian Lie-subgroup of order c.

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