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We study the behaviour of the notion of "thema", introduced in our previousarticle [B.09b], by a change of variable. We show not only that the fundamentalinvariants of such a thema, corresponding to the Bernstein polynomial, arestable by a change of variable, but also other numerical invariants calledprincipal parameters. \\ We show on a rank 3 example that nevertheless theisomorphism class of a thema is not stable in general by a change of variable.We conclude in proving that a change of variable transforms an holomorphicfamily of thema in an holomorphic family. This implies that non principalparameters change holomorphically.

Changements de variable pour un th`eme.