THE PROBABILITY MEASURE CORRESPONDING TO 2-PLANE TREES
Wojciech Młotkowski
Karol A. Penson
Abstract: We study the probability measure for which the moment sequence is
. We prove that is absolutely continuous, find the density function and
prove that is infinitely divisible with respect to the additive free convolution.
2000 AMS Mathematics Subject Classification: Primary: 44A60; Secondary:
46L54.
Keywords and phrases: Beta distribution, additive and multiplicative free convolution,
Meijer -function.