On powers of Stieltjes moment sequences, II

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We consider the set of Stieltjes moment sequences, for which every positive power is again a Stieltjes moment sequence, we and prove an integral representation of the logarithm of the moment sequence in analogy to the Lévy-Khinchin 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.
preprint, 21 pages

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Classical Analysis and ODEs, Complex Variables, 44A60;33D65

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http://salesiana.dossiersoluciones.com/handle/123456789/73613

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412340
 http://arxiv.org/abs/math/0412340

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arXiv