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Generalized polylogarithms are defined as iterated integrals with
respect to the two differential forms
and
. We compute the
polylogarithms in
from their
values in
for every
transformation
belonging to
the group generated by the two transformations
and
.
These formulæ utilize a certain series in non commutative
variables which turns out to be the
series of Drinfel'd.
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