The probability measure corresponding to 2-plane trees
classification
🧮 math.PR
math.CO
keywords
measureprobabilityproveabsolutelyadditivebinomcontinuousconvolution
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We study the probability measure $\mu_{0}$ for which the moment sequence is $\binom{3n}{n}\frac{1}{n+1}$. We prove that $\mu_{0}$ is absolutely continuous, find the density function and prove that $\mu_{0}$ is infinitely divisible with respect to the additive free convolution.
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