A new moment-based proof shows the distribution of free positive multiplicative Brownian motion equals the exponential of a free additive convolution of a semicircle and a uniform law, yielding new Stirling and hypergeometric formulas.
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Free positive multiplicative Brownian motion and the free additive convolution of semicircle and uniform distribution
A new moment-based proof shows the distribution of free positive multiplicative Brownian motion equals the exponential of a free additive convolution of a semicircle and a uniform law, yielding new Stirling and hypergeometric formulas.