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Universal expansion of the powers of a derivation
Authors:M. Ginocchio
Affiliation:(1) Laboratoire de Physique Theorique et Mathematique, Université Paris VII, Tour Centrale - 3è étage, 2, place Jussieu, 75251 Paris Cedex 05, France
Abstract:We give the expansion of the powers of the Lie operator Delta = Sgrlambdai parti in any dimension, wherelambda is either a smooth function or a formal power series over an infinite set of commutatives indeterminates. We describe an algorithm for computer treatment and we give, as an example, a table for the orders 1 to 6.
Keywords:05A15  06A99  34L99  35K22  47H20  68R05
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