Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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 (doi: 10.20944/preprints202112.0324.v1). Klebanov, L. On a Problem of Infinite Divisibility. Preprints 2021, 2021120324 (doi: 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

MATHEMATICS & COMPUTER SCIENCE, Probability and Statistics

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