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arXiv · 1310.0252

Asymptotic behaviour of the Urbanik semigroup

Christian Berg·José Luis López
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Abstract

We revisit the product convolution semigroup of probability densities e_c(t),c>0 on the positive half-line with moments (n!)^c and determine the asymptotic behaviour of e_c(t) for large and small t>0. This shows that (n!)^c is indeterminate as Stieltjes moment sequence if and only if c>2

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Christian Berg, José Luis López. 2013-10-01. Asymptotic behaviour of the Urbanik semigroup. https://doi.org/10.1016/j.jat.2014.05.006

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