Asymptotic behaviour of the Urbanik semigroup
نویسندگان
چکیده
We revisit the product convolution semigroup of probability densities ec(t), c > 0 on the positive half-line with moments (n!) c and determine the asymptotic behaviour of ec for large and small t > 0. This shows that (n!) is indeterminate as Stieltjes moment sequence if and only if c > 2. 2000 Mathematics Subject Classification: Primary 30E15; Secondary 44A60,60B15
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عنوان ژورنال:
- Journal of Approximation Theory
دوره 195 شماره
صفحات -
تاریخ انتشار 2015