Abstract
One defines a new tree-indexed series, with coefficients that are polynomials in x over the ring Q(q). Several special evaluations of this series are obtained, in particular when x is replaced by a q-integer. By taking a limit value when x = -1/q, one recovers the tree-indexed series Omega_q that was introduced in a previous article as a q-analog of a classical tree-indexed series Omega.
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