2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217921We characterize by the use of free probability the family of measures for which the mulitiplicative renormalization method applies with $h(x) = (1-x)^_{-1}$. This provides a representation formula for their Voiculescu Transforms.accepted for publication in IDA-QP (Vol. 12, No. 1 March (2009)Probability33C45; 42C05text