On a class of explicit Cauchy-Stieltjes transforms related to monotone stable and free Poisson laws (Q2435259)
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| English | On a class of explicit Cauchy-Stieltjes transforms related to monotone stable and free Poisson laws |
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On a class of explicit Cauchy-Stieltjes transforms related to monotone stable and free Poisson laws (English)
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4 February 2014
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The authors consider a class of probability measures which have explicit Cauchy-Stieltjes transforms, and study their infinite divisibility property. This class admits representations as the free multiplication of a free Poisson law and a monotone stable law.
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beta distribution
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free infinite divisibility
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free Poisson law
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monotone stable law
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