Article
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On a Problem of Infinite Divisibility
Version 1
: Received: 19 December 2021 / Approved: 21 December 2021 / Online: 21 December 2021 (12:01:39 CET)
How to cite: Klebanov, L. On a Problem of Infinite Divisibility. Preprints 2021, 2021120324. https://doi.org/10.20944/preprints202112.0324.v1 Klebanov, L. On a Problem of Infinite Divisibility. Preprints 2021, 2021120324. https://doi.org/10.20944/preprints202112.0324.v1
Abstract
Let $f(t)$ be a characteristic function. The question on infinite divisibility of $g_{2k}(t)=f^{(2k)}(t)/f^{(2k)}(0)$ is considered. There are given the condition for that function not to be infinite divisible. Some examples of infinite divisibility of $g_{2k}(t)$ are given.
Keywords
characteristic function; infinite divisibility; singularities
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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