On a moment problem related to Bernstein functions
Probability
2018-07-10 v1 Classical Analysis and ODEs
Abstract
We give a simple proof of the moment-indeterminacy of the sequence for using Lin's condition. Under a logarithmic self-decomposability assumption, the method conveys to power sequences defined as the rising factorials of a given Bernstein function, and to more general infinitely divisible moment sequences. We also provide a very short proof of the infinite divisibility of all the moment sequences recently investigated in Lin (2017), including Fuss-Catalan's.
Keywords
Cite
@article{arxiv.1807.03115,
title = {On a moment problem related to Bernstein functions},
author = {Thomas Simon},
journal= {arXiv preprint arXiv:1807.03115},
year = {2018}
}
Comments
15 pages