| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4643195 | Journal of Computational and Applied Mathematics | 2007 | 16 Pages |
Abstract
We consider the set of Stieltjes moment sequences, for which every positive power is again a Stieltjes moment sequence, and prove an integral representation of the logarithm of the moment sequence in analogy to the Lévy–Khintchine representation. We use the result to construct product convolution semigroups with moments of all orders and to calculate their Mellin transforms. As an application we construct a positive generating function for the orthonormal Hermite polynomials.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Christian Berg,