2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217303The material gives a new combinatorial proof of the multiplicative property of the S-transform. In particular, several properties of the coefficients of its inverse are connected to non-crossing linked partitions and planar trees.9 pages, 8 figuresOperator AlgebrasCombinatorics05A10; 46L54Non-crossing linked partitions and multiplication of free random variablestext