We describe the limit measures for some class of deformations of the free convolution, introduced by A. D. Krystek and Ł. J. Wojakowski. In particular, we provide a counterexample to a conjecture from their paper.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba56-1-9, author = {Melanie Hinz and Wojciech M\l otkowski}, title = {Limit Measures Related to the Conditionally Free Convolution}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {56}, year = {2008}, pages = {75-81}, zbl = {1141.60008}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba56-1-9} }
Melanie Hinz; Wojciech Młotkowski. Limit Measures Related to the Conditionally Free Convolution. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008) pp. 75-81. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba56-1-9/