Probability measures corresponding to Aval numbers
Volume 129 / 2012
Colloquium Mathematicum 129 (2012), 189-202
MSC: Primary 05A15; Secondary 46L54.
DOI: 10.4064/cm129-2-3
Abstract
We describe the class of probability measures whose moments are given in terms of the Aval numbers. They are expressed as the multiplicative free convolution of measures corresponding to the ballot numbers $\frac{m-k}{m+k}\binom{m+k}{m}$.
