%0 Journal Article %T On multiplicative conditionally free convolution %A Mihai Popa %A Jiun-Chau Wang %J Mathematics %D 2008 %I arXiv %X Using the combinatorics of non-crossing partitions, we construct a conditionally free analogue of the Voiculescu's S-transform. The result is applied to analytical description of conditionally free multiplicative convolution and characterization of infinite divisibility. %U http://arxiv.org/abs/0805.0257v2