English

On some new moments of Gamma type

Probability 2023-06-08 v2 Classical Analysis and ODEs

Abstract

We investigate certain positive random variables having moments of Gamma type. Some necessary and some sufficient conditions are given for their existence. In particular, we observe that the Weber-Schafheitlin formula for the Bessel function makes it possible to construct non-trivial moments of Gamma type having a signed spectral measure.

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Cite

@article{arxiv.1908.03428,
  title  = {On some new moments of Gamma type},
  author = {Tetyana Kadankova and Thomas Simon and Min Wang},
  journal= {arXiv preprint arXiv:1908.03428},
  year   = {2023}
}

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9 pages